Deck 7: Hypothesis Testing With One Sample

Question 1

The mean score for all NBA games during a particular season was less than 92 points per game. Write the null
and alternative hypotheses.

Answer 1

Question 2

A researcher claims that 71% of voters favor gun control. Determine whether the hypothesis test for this claim is left-tailed, right-tailed, or two-tailed.

A)two-tailed
B)left-tailed
C)right-tailed

Answer 2

two-tailed

Question 3

The mean score for all NBA games during a particular season was less than 106 points per game. State this
claim mathematically. Write the null and alternative hypotheses. Identify which hypothesis is the claim.

Answer 3

claim:

Question 4

A candidate for governor of a particular state claims to be favored by at least half of the voters. State this claim
mathematically. Write the null and alternative hypotheses. Identify which hypothesis is the claim.

Question 5

The statement represents a claim. Write its complement and state which is $$\mathrm { H } _ { 0 }$$ and which is $\mathrm { H } _ { \mathrm { A } }$ $\mu$ = 8.3

A) $\mathrm { H } _ { 0 } : \mu = 8.3 \text { (claim); } \mathrm { H } _ { \mathrm { a } } : \mu \neq 8.3$
B) $\mathrm { H } _ { 0 } : \mu \neq 8.3 ; \mathrm { H } _ { \mathrm { a } } : \mu = 8.3 \text { (claim) }$
C) $\mathrm { H } _ { 0 } : \mu \geq 8.3 \text { (claim); } \mathrm { H } _ { \mathrm { a } } : \mu < 8.3$
D) $\mathrm { H } _ { 0 } : \mu \leq 8.3 ; \mathrm { H } _ { \mathrm { a } } : \mu > 8.3 \text { (claim) }$

Question 6

The mean IQ of statistics teachers is greater than 160. Write the null and alternative hypotheses.

Question 7

The dean of a major university claims that the mean time for students to earn a Masterʹs degree is at most 3.3
years. Write the null and alternative hypotheses.

Question 8

Given $\mathrm { H } _ { 0 } : \mathrm { p } \geq 80 \% \text { and } \mathrm { H } _ { \mathrm { a } } : \mathrm { p } < 80 \%$ determinedetermin whether the hypothesis test is left-tailed, right-tailed, or two-tailed.

A)left-tailed
B)right-tailed
C)two-tailed

Question 9

The alternative hypothesis is given with its graph. State the null hypothesis and sketch its graph. $\mathrm { H } _ { \mathrm { a } } : \mu < 9$

A) $\mathrm { H } _ { 0 } : \mu \geq 9$


B) $\mathrm { H } _ { 0 } : \mu \geq 9$


C) $\mathrm { H } _ { 0 } : \mu \leq 9$


D) $\mathrm { H } _ { 0 } : \mu > 9$

Question 10

The mean IQ of statistics teachers is greater than 140. State this claim mathematically. Write the null and
alternative hypotheses. Identify which hypothesis is the claim.

Question 11

The mean age of bus drivers in Chicago is 56.9 years. State this claim mathematically. Write the null and
alternative hypotheses. Identify which hypothesis is the claim.

Question 12

The alternative hypothesis is given with its graph. State the null hypothesis and sketch its graph. $\mathrm { H } _ { \mathrm { a } } : \mu \neq 5$

A) $\mathrm { H } _ { 0 } : \mu = 5$


B) $\mathrm { H } _ { 0 } : \mu \geq 5$


C) $\mathrm { H } _ { 0 } : \mu \leq 5$


D) $\mathrm { H } _ { 0 } : \mu > 5$

Question 13

The dean of a major university claims that the mean time for students to earn a Masterʹs degree is at most 4.2
years. State this claim mathematically. Write the null and alternative hypotheses. Identify which hypothesis is
the claim.

Question 14

The buyer of a local hiking club store recommends against buying the new digital altimeters because they vary
more than the old altimeters, which had a standard deviation of one yard. Write the null and alternative
hypotheses.

Question 15

The mean age of bus drivers in Chicago is 48.6 years. Write the null and alternative hypotheses.

Question 16

The buyer of a local hiking club store recommends against buying the new digital altimeters because they vary
more than the old altimeters, which had a standard deviation of one yard. State this claim mathematically.
Write the null and alternative hypotheses. Identify which hypothesis is the claim.

Question 17

The statement represents a claim. Write its complement and state which is $\mathrm { H } _ { 0 }$ and which is $\mathrm { H } _ { \mathrm { A } }$ $p \leq$ .93

A) $\mathrm { H } _ { 0 } : \mathrm { p } \leq 0.93 \text { (claim); } \mathrm { H } _ { \mathrm { a } } : \mathrm { p } > 0.93$
B) $\mathrm { H } _ { 0 } : \mathrm { p } > 0.93 ; \mathrm { H } _ { \mathrm { a } } : \mathrm { p } \leq 0.93 \text { (claim) }$
C) $\mathrm { H } _ { 0 } : \mathrm { p } = 0.93 ; \mathrm { H } _ { \mathrm { a } } : \mathrm { p } \neq 0.93 \text { (claim) }$
D) $\mathrm { H } _ { 0 } : \mathrm { p } \geq 0.93 \text { (claim); } \mathrm { H } _ { \mathrm { a } } : \mathrm { p } < 0.93$

Question 18

A candidate for governor of a particular state claims to be favored by at least half of the voters. Write the null
and alternative hypotheses.

Question 19

Given $\mathrm { H } _ { 0 } : \mu \leq 25 \text { and } \mathrm { H } _ { \mathrm { a } } : \mu > 25 \text {, }$ determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed.

A)right-tailed
B)left-tailed
C)two-tailed

Question 20

The statement represents a claim. Write its complement and state which is $\mathrm { H } _ { 0 }$ and which is $\mathrm { H } _ { \mathrm { A } }$ $\sigma < 8.2$

A) $\mathrm { H } _ { 0 } : \sigma \geq 8.2 ; \mathrm { H } _ { \mathrm { a } } : \sigma < 8.2 \text { (claim) }$
B) $\mathrm { H } _ { 0 } : \sigma < 8.2 \text { (claim); } \mathrm { H } _ { \mathrm { a } } : \sigma \geq 8.2$
C) $\mathrm { H } _ { 0 } : \sigma \leq 8.2 \text { (claim); } \mathrm { H } _ { \mathrm { a } } : \sigma > 8.2$
D) $\mathrm { H } _ { 0 } : \sigma = 8.2 ; \mathrm { H } _ { \mathrm { a } } : \sigma \neq 8.2 \text { (claim) }$

Question 21

The mean age of bus drivers in Chicago is greater than 54.4 years. If a hypothesis test is performed, how should you interpret a decision that fails to reject the null hypothesis?

A)There is not sufficient evidence to support the claim μ $\mu >$ 54.4.
B)There is sufficient evidence to reject the claim μ $\mu >$ 54.4.
C)There is not sufficient evidence to reject the claim μ $\mu >$ 54.4.
D)There is sufficient evidence to support the claim μ $\mu >$ 54.4.

Question 22

A candidate for governor of a certain state claims to be favored by at least half of the voters. If a hypothesis test is performed, how should you interpret a decision that fails to reject the null hypothesis?

A)There is not sufficient evidence to reject the claim ρ $Q \geq 0.5$
B)There is sufficient evidence to reject the claim ρ $Q \geq 0.5$
C)There is sufficient evidence to support the claim ρ $Q \geq 0.5$
D)There is not sufficient evidence to support the claim ρ $Q \geq 0.5$

Question 23

The mean score for all NBA games during a particular season was less than 90 points per game. Identify the
type I and type II errors for the hypothesis test of this claim.

Question 24

The mean age of bus drivers in Chicago is 51.3 years. Identify the type I and type II errors for the hypothesis
test of this claim.

Question 25

The mean score for all NBA games during a particular season was less than 104 points per game. If a hypothesis test is performed, how should you interpret a decision that fails to reject the null hypothesis?

A)There is not sufficient evidence to support the claim μ $\mu <$ 10104.
B)There is sufficient evidence to reject the claim μ $\mu <$ 104.
C)There is not sufficient evidence to reject the claim μ $\mu < 104 .$
D)There is sufficient evidence to support the claim μ $\mu < 104$

Question 26

The mean score for all NBA games during a particular season was less than 104 points per game. If a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis?

A)There is sufficient evidence to support the claim μ $\mu <$ 10104.
B)There is sufficient evidence to reject the claim μ $\mu <$ 104.
C)There is not sufficient evidence to reject the claim μ $\mu <$ 104.
D)There is not sufficient evidence to support the claim μ $\mu <$ 10104.

Question 27

The mean IQ of statistics teachers is greater than 130. Identify the type I and type II errors for the hypothesis
test of this claim.

Question 28

The mean IQ of statistics teachers is greater than 110. If a hypothesis test is performed, how should you interpret a decision that fails to reject the null hypothesis?

A)There is not sufficient evidence to support the claim μ $\mu >$ 11110.
B)There is sufficient evidence to reject the claim μ $\mu >$ 110.
C)There is not sufficient evidence to reject the claiclaim $\mu >$ 110.
D)There is sufficient evidence to support the claim μ $\mu >$ 110.

Question 29

The mean IQ of statistics teachers is greater than 130. If a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis?

A)There is sufficient evidence to support the claim μ $\mu >$ 130.
B)There is sufficient evidence to reject the claim μ $\mu >$ 130.
C)There is not sufficient evidence to reject the claim μ $\mu >$ 130.
D)There is not sufficient evidence to support the claim μ $\mu >$ 13130.

Question 30

A candidate for governor of a certain state claims to be favored by at least half of the voters. Identify the type I
and type II errors for the hypothesis test of this claim.

Question 31

The owner of a professional basketball team claims that the mean attendance at games is over 22,000 and therefore the team needs a new arena. Determine whether the hypothesis test for this claim is left-tailed,
Right-tailed, or two-tailed.

A)right-tailed
B)left-tailed
C)two-tailed

Question 32

An elementary school claims that the standard deviation in reading scores of its fourth grade students is less than 3.75. Determine whether the hypothesis test for this claim is left-tailed, right-tailed, or two-tailed.

A)left-tailed
B)right-tailed
C)two-tailed

Question 33

A car maker claims that its new sub-compact car gets better than 49 miles per gallon on the highway. Determine whether the hypothesis test for this is left-tailed, right-tailed, or two-tailed.

A)right-tailed
B)left-tailed
C)two-tailed

Question 34

A candidate for governor of a certain state claims to be favored by at least half of the voters. If a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis?

A)There is sufficient evidence to reject the claim ρ $Q \geq 0.5 \text {. }$
B)There is not sufficient evidence to reject the claiclaim $Q \geq 0.5 \text {. }$

C)There is sufficient evidence to support the claim ρ $Q \geq 0.5 \text {. }$

D)There is not sufficient evidence to support the claim ρ $Q \geq 0.5 \text {. }$

Question 35

The mean age of bus drivers in Chicago is 50.3 years. If a hypothesis test is performed, how should you interpret a decision that fails to reject the null hypothesis?

A)There is not sufficient evidence to reject the claim μ $\mu$ = 50.3.
B)There is sufficient evidence to reject the claim μ $\mu$ = 50.3.
C)There is sufficient evidence to support the claim μ $\mu$ = 50.3.
D)There is not sufficient evidence to support the claim μ $\mu$ = 50.3.

Question 36

The dean of a major university claims that the mean time for students to earn a Masterʹs degree is at most 4.1 years. If a hypothesis test is performed, how should you interpret a decision that fails to reject the null
Hypothesis?

A)There is not sufficient evidence to reject the claim $\mu \leq 4.1$
B)There is sufficient evidence to reject the claim $\mu \leq$ 4.4.1.
C)There is sufficient evidence to support the claim $\mu \leq$ ≤ 4.1.
D)There is not sufficient evidence to support the claim $\mu \leq$ 4.1.

Question 37

The dean of a major university claims that the mean time for students to earn a Masterʹs degree is at most 3.5 years. If a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis?

A)There is sufficient evidence to reject the claim $\mu \leq$ 3.5.
B)There is not sufficient evidence to reject the claim $\mu \leq$ 3.5.
C)There is sufficient evidence to support the claim $\mu \leq$ 3.5.
D)There is not sufficient evidence to support the claim $$\mu \leq$$ 3.5.

Question 38

The mean age of bus drivers in Chicago is greater than 54.1 years. If a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis?

A)There is sufficient evidence to support the claim μ $\mu >$ 54.1.
B)There is sufficient evidence to reject the claim μ $\mu >$ 54.1.
C)There is not sufficient evidence to reject the claiclaim $\mu >$
> 54.1.
D)There is not sufficient evidence to support the claim μ $\mu >$ 54.1.

Question 39

A brewery claims that the mean amount of beer in their bottles is at least 12 ounces. Determine whether the hypothesis test for this claim is left-tailed, right-tailed, or two-tailed.

A)left-tailed
B)right-tailed
C)two-tailed

Question 40

The mean age of bus drivers in Chicago is 51.5 years. If a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis?

A)There is sufficient evidence to reject the claim μ $\mu$ = 51.5.
B)There is not sufficient evidence to reject the claim μ = 51.5.
C)There is sufficient evidence to support the claim μ $\mu$ = 51.5.
D)There is not sufficient evidence to support the claim μ $\mu$ = 51.5.

Question 41

Find the critical value and rejection region for the type of z-test with level of significance α $\alpha$ Two-tailed test, α $\alpha = 0.10$

A) $- z _ { 0 } = - 1.645 , z _ { 0 } = 1.645 ; z < - 1.645 , z > 1.645$
B) $- z _ { 0 } = - 2.33 , z _ { 0 } = 2.33 ; z < - 2.33 , z > 2.33$
C) $- \mathrm { z } _ { 0 } = - 2.575 , \mathrm { z } _ { 0 } = 2.575 ; \mathrm { z } < - 2.575 , \mathrm { z } > 2.575$
D) $- z _ { 0 } = - 1.96 , z _ { 0 } = 1.96 ; z < - 1.96 , z > 1.96$

Question 42

Find the P-value for the hypothesis test with the standardized test statistic z. Decide whether to reject $\mathrm { H } _ { 0 }$ for the level of significance α $\alpha$ Left-tailed test
Z = -1.83 $\alpha$ α = 0.05

A)0.0336; reject $\mathrm { H } _ { 0 }$
B)0.0672; reject $\mathrm { H } _ { 0 }$
C)0.9664; fail to reject $\mathrm { H } _ { 0 }$
D)0.0672; fail to reject $\mathrm { H } _ { 0 }$

Question 43

Test the claim about the population mean $\mu$ at the level of significance α. Assume the population is normally distributed. Claim: $\mu > 28 ; \alpha = 0.05 ; \sigma = 1.2$
Sample statistics: $\bar { x } = 28.3 , n = 50$

A)Reject $\mathrm { H } _ { 0 }$ . There is enough evidence at the 5% level of significance to support the claim.
B)Fail to reject $\mathrm { H } _ { 0 } \text {. }$ There is not enough evidence at the 5% level of significance to support the claim.
C)Not enough information to decide.

Question 44

Given $\mathrm { H } _ { 0 } : \mu \geq 23.5 \text { and } \alpha = 0.05 \text {, }$ which level of confidence should you use to test the claim?

A)90%
B)99%
C)80%
D)95%

Question 45

Given $\mathrm { H } _ { 0 } : \mu \leq 12$ for which confidence interval should you reject $\mathrm { H } _ { 0 } ?$

A)(13, 16)
B)(11.5, 12.5)
C)(10, 13)

Question 46

Find the P-value for the hypothesis test with the standardized test statistic z. Decide whether to reject $\mathrm { H } _ { 0 }$ for the level of significance α $\alpha$ Two-tailed test
Z = 1.95 $\alpha$ = 0.05

A)0.0512; fail to reject $\mathrm { H } _ { 0 }$
B)0.0256; reject $\mathrm { H } _ { 0 }$
C)0.0512; reject $\mathrm { H } _ { 0 }$
D)0.9744; fail to reject $\mathrm { H } _ { 0 }$

Question 47

Find the critical value and rejection region for the type of z-test with level of significance α. Two-tailed test, α $\alpha = 0.01$

A) $- z _ { 0 } = - 2.575 , z _ { 0 } = 2.575 ; z < - 2.575 , z > 2.575$
B) $- z _ { 0 } = - 2.33 , z _ { 0 } = 2.33 ; z < - 2.33 , z > 2.33$
C) $- z _ { 0 } = - 1.645 , z _ { 0 } = 1.645 ; z < - 1.645 , z > 1.645$
D) $- z _ { 0 } = - 1.96 , z _ { 0 } = 1.96 ; z < - 1.96 , z > 1.96$

Question 48

The P-value for a hypothesis test is P = 0.006. Do you reject or fail to reject $\mathrm { H } _ { 0 }$ when the level of significance is $\alpha$ α = 0.01?

A)reject $\mathrm { H } _ { 0 }$
B)fail to reject $\mathrm { H } _ { 0 }$
C)not sufficient information to decide

Question 49

The P-value for a hypothesis test is P = 0.066. Do you reject or fail to reject $\mathrm { H } _ { 0 }$ when the level of significance is $\alpha$ = 0.05?

A)fail to reject $\mathrm { H } _ { 0 }$
B)reject $\mathrm { H } _ { 0 }$
C)not sufficient information to decide

Question 50

Given $\mathrm { H } _ { 0 } : \mathrm { p } \geq 0.45 \text {, }$ for which confidence interval should you reject $\mathrm { H } _ { 0 } ?$

A)(0.32, 0.40)
B)(0.40, 0.50)
C)(0.42, 0.47)

Question 51

Find the critical value and rejection region for the type of z-test with level of significance α $\alpha _ { 2 }$ Right-tailed test, α $\alpha$ = 0.01

A) $z _ { 0 } = 2.33 ; z > 2.33$
B) $z _ { 0 } = 2.575 ; z > 2.575$
C) $z _ { 0 } = 1.645 ; z > 1.645$
D) $\mathrm { z } _ { 0 } = 1.96 ; ; \mathrm { z } > 1.96$

Question 52

Find the critical value and rejection region for the type of z-test with level of significance α $\alpha$ Two-tailed test, α $\alpha$ = 0.06

A)- $- z _ { 0 } = - 1.88 , z _ { 0 } = 1.88 ; z < 1.88 , z > 1.88$
B) $- \mathrm { z } _ { 0 } = - 2.33 , \mathrm { z } _ { 0 } = 2.33 ; \mathrm { z } < - 2.33 , \mathrm { z } > 2.33$
C)- $- z _ { 0 } = - 2.575 , z _ { 0 } = 2.575 ; z < - 2.575 , z > 2.575$
D) $- z _ { 0 } = - 1.96 , z _ { 0 } = 1.96 ; z < - 1.96 , z > 1.96$

Question 53

Find the P-value for the hypothesis test with the standardized test statistic z. Decide whether to reject $\mathrm { H } _ { 0 }$ for the level of significance α $\alpha .$ Left-tailed test
Z = -2.05 $\alpha$ = 0.05
The test statistic in a left-tailed test is z = -2.05.

A)0.0202; reject $\mathrm { H } _ { 0 }$
B)0.4798; fail to reject $\mathrm { H } _ { 0 }$
C)0.0404; reject $\mathrm { H } _ { 0 }$
D)0.0453 fail to reject $\mathrm { H } _ { 0 }$

Question 54

Find the P-value for the hypothesis test with the standardized test statistic z. Decide whether to reject $\mathrm { H } _ { 0 }$ for the level of significance α $\alpha$ Right-tailed test
Z = 1.43 $\alpha$ = 0.05

A)0.0764; Fail to reject $\mathrm { H } _ { 0 }$
B)0.0764; reject $\mathrm { H } _ { 0 }$
C)0.1528; fail to reject $\mathrm { H } _ { 0 }$
D)0.1528; reject $\mathrm { H } _ { 0 }$

Question 55

Find the P-value for the hypothesis test with the standardized test statistic z. Decide whether to reject H₀ for the level of significance α.
Right-tailed test
Z = 0.52 $\alpha$ = 0.05

A)0.3015; Fail to reject $\mathrm { H } _ { 0 }$
B)0.0195; Reject $\mathrm { H } _ { 0 }$
C)0.3015; Reject $\mathrm { H } _ { 0 }$
D)0.6030; Fail to reject H $\mathrm { H } _ { 0 }$

Question 56

The P-value for a hypothesis test is P = 0.034. Do you reject or fail to reject $\mathrm { H } _ { 0 }$ when the level of significance is $\alpha$ = 0.01?

A)fail to reject $\mathrm { H } _ { 0 }$
B)reject $\mathrm { H } _ { 0 }$
C)not sufficient information to decide

Question 57

Find the P-value for the hypothesis test with the standardized test statistic z. Decide whether to reject $\mathrm { H } _ { 0 }$ for the level of significance α $\alpha .$ Two-tailed test
Z = -1.63 $\alpha$ α = 0.05

A)0.1032; fail to reject $\mathrm { H } _ { 0 }$
B)0.9484; fail to reject $\mathrm { H } _ { 0 }$
C)0.0516; reject $\mathrm { H } _ { 0 }$
D)0.0516; fail to reject $\mathrm { H } _ { 0 }$

Question 58

Find the critical value and rejection region for the type of z-test with level of significance α $\alpha$ Left-tailed test, α $\alpha = 0.025$

A) $z _ { 0 } = - 1.96 ; z < - 1.96$
B) $\mathrm { z } 0 = - 2.33 ; \mathrm { z } < - 2.33$
C) $z _ { 0 } = - 2.575 ; z < - 2.575$
D) $z _ { 0 } = - 1.645 ; z < - 1.645$

Question 59

Given $\mathrm { H } _ { 0 } : \mathrm { p }$ = 0.85 and α $\alpha$ = 0.10, which level of confidence should you use to test the claim?

A)90%
B)95%
C)99%
D)80%

Question 60

Find the critical value and rejection region for the type of z-test with level of significance α $\alpha .$ Left-tailed test, α $\alpha = 0.05$

A) $z _ { 0 } = - 1.645 ; z < - 1.645$
B) $z _ { 0 } = - 2.33 ; z < - 2.33$
C) $\mathrm { z } _ { 0 } = - 2.575 ; \mathrm { z } < - 2.575$
D) $z _ { 0 } = - 1.96 ; z < - 1.96$

Question 61

Suppose you want to test the claim that $\mu$ = 3.5. Given a sample size of n = 40 and a level of significance of $\alpha$ α = 0.05, when should you reject H₀ ?

A)Reject H₀ if the standardized test statistic is greater than 1.96 or less than -1.96.
B)Reject H₀ if the standardized test statistic is greater than 2.33 or less than -2.33.
C)Reject H₀ if the standardized test statistic is greater than 2.575 or less than -2.575
D)Reject H₀ if the standardized test statistic is greater than 1.645 or less than -1.645

Question 62

Test the claim that given that , and the sample statistics are n =

Question 63

Test the claim that 13, given that and the sample statistics are n = .

Question 64

A local brewery distributes beer in bottles labeled 32 ounces. A government agency thinks that the brewery is
cheating its customers. The agency selects 50 of these bottles, measures their contents, and obtains a sample
mean of 31.7 ounces with a population standard deviation of 0.70 ounce. Use a 0.01 significance level to test the
agencyʹs claim that the brewery is cheating its customers.

Question 65

Test the claim that given that and the sample statistics are n =

Question 66

You wish to test the claim that μ ≠ 14 at a level of significance of α $\alpha$ = 0.05 and are given sample statistics n = 35, $\overline { \mathrm { x } } = 13.1$ Assume the population standard deviation is 2.7. Compute the value of the standardized test statistic. Round your answer to two decimal places.

A)-1.97
B)-3.12
C)-2.86
D)-1.83

Question 67

A local politician, running for reelection, claims that the mean prison time for car thieves is less than the
required 4 years. A sample of 80 convicted car thieves was randomly selected, and the mean length of prison
time was found to be 3 years and 6 months, with a population standard deviation of 1 year and 3 months. At α = 0.05, test the politicianʹs claim.

Question 68

Test the claim about the population mean μ at the level of significance α. Assume the population is normally distributed. Claim: $\mu \leq 47 ; \alpha = 0.01 ; \sigma = 4.3$
Sample statistics: $\bar { x } = 48.8 , n = 40$

A)Reject $\mathrm { H } _ { 0 }$ There is enough evidence at the 1% level of significance to reject the claim.
B)Fail to reject $\mathrm { H } _ { 0 }$ There is enough evidence at the 1% level of significance to support the claim.
C)Not enough information to decide.

Question 69

You wish to test the claim that $\mu > 33$ at a level of significance of α $\alpha$ = 0.05 and are given sample statistics n = 50, $\overline { \mathrm { x } } = 33.3$ Assume the population standard deviation is 1.2. Compute the value of the standardized test statistic. Round your answer to two decimal places.

A)1.77
B)2.31
C)0.98
D)3.11

Question 70

Test the claim that 40, given that and the sample statistics are n =

Question 71

A fast food outlet claims that the mean waiting time in line is less than 3.8 minutes. A random sample of 60
customers has a mean of 3.7 minutes with a population standard deviation of 0.6 minute. If α = 0.05, test the
fast food outletʹs claim.

Question 72

Suppose you want to test the claim that $\mu < 65.4 .$ Given a sample size of n = 35 and a level of significance of $\alpha$ α = 0.05, when should you reject H₀?

A)Reject H₀ if the standardized test statistic is less than -1.645.
B)Reject H₀ if the standardized test is less than -1.96.
C)Reject H₀ if the standardized test statistic is less than -1.28.
D)Reject H₀ if the standardized test statistic is less than -2.33.

Question 73

You wish to test the claim that $\mu \leq 24$ at a level of significance of α = 0.01 and are given sample statistics n = 40, $\bar { x } = 25.8 \text {. }$ Assume the population standard deviation is 4.3. Compute the value of the standardized test statistic. Round your answer to two decimal places.

A)2.65
B)3.51
C)2.12
D)1.96

Question 74

A local group claims that the police issue at least 60 speeding tickets a day in their area. To prove their point,
they randomly select one month. Their research yields the number of tickets issued for each day. The data are
listed below. Assume the population standard deviation is 12.2 tickets. At α = 0.01, test the groupʹs claim.

Question 75

Test the claim about the population mean μ at the level of significance α $\alpha$ Assume the population is normally distributed. Claim: $\mu \neq 35 ; \alpha = 0.05 ; \sigma = 2.7$
Sample statistics: $\overline { \mathrm { x } } = 34.1 , \mathrm { n } = 35$

A)Reject $\mathrm { H } _ { 0 } .$ There is enough evidence at the 5% level of significance to support the claim.
B)Fail to reject $\mathrm { H } _ { 0 }$ There is not enough evidence at the 5% level of significance to support the claim.
C)Not enough information to decide.

Question 76

Suppose you want to test the claim that $\mu > 25.6$ Given a sample size of n = 55 and a level of significance of $\alpha$ α = 0.01, when should you reject H₀?

A)Reject H₀ if the standardized test statistic is greater than 2.33.
B)Reject H₀ if the standardized test statistic is greater than 1.645.
C)Reject H₀ if the standardized test statistic is greater than 1.28.
D)Reject H₀ if the standardized test statistic is greater than 2.575.

Question 77

You wish to test the claim that $\mu$ = 1430 at a level of significance of α = 0.01 and are given sample statistics $\mathrm { n } = 35 , \overline { \mathrm { x } } = 1400$ Assume the population standard deviation is 82. Compute the value of the standardized test statistic. Round your answer to two decimal places.

A)-2.16
B)-3.82
C)-4.67
D)-5.18

Question 78

Test the claim about the population mean μ at the level of significance α $\alpha$ Assume the population is normally distributed. Claim: $\mu = 1400 ; \alpha = 0.01 ; \sigma = 82$
Sample statistics: $\bar { x } = 1370 , n = 35$

A)Fail to reject $\mathrm { H } _ { 0 }$ There is enough evidence at the 1% level of significance to support the claim.
B)Reject $\mathrm { H } _ { 0 }$ . There is enough evidence at the 1% level of significance to reject the claim.
C)Not enough information to decide.

Question 79

A manufacturer claims that the mean lifetime of its fluorescent bulbs is 1500 hours. A homeowner selects 40
bulbs and finds the mean lifetime to be 1480 hours with a population standard deviation of 80 hours. Test the
manufacturerʹs claim. Use = 0.05.

Question 80

A trucking firm suspects that the mean lifetime of a certain tire it uses is less than 36,000 miles. To check the
claim, the firm randomly selects and tests 54 of these tires and gets a mean lifetime of 35,630 miles with a
population standard deviation of 1200 miles. At α .05, test the trucking firmʹs claim.