# Basic Business Statistics

Statistics

## Quiz 10 :

Two-Sample Tests

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Q01

For all two-sample tests, the sample sizes must be equal in the two groups.

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True False

False

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Q02

When the sample sizes are equal, the pooled variance of the two groups is the average of the 2 sample variances.

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True False

True

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Q03

The t test for the difference between the means of 2 independent populations assumes that the respective

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Multiple Choice

C

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Q04

If we are testing for the difference between the means of 2 independent populations presuming equal variances with samples of n₁ = 20 and n₂ = 20, the number of degrees of freedom is equal to

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Q05

In testing for the differences between the means of 2 independent populations where the variances in each population are unknown but assumed equal, the degrees of freedom are

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Q06

In testing for differences between the means of two independent populations, the null hypothesis is

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Q07

In testing for the differences between the means of two independent populations, you assume that the 2 populations each follow a ________ distribution.

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Short Answer

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Q08

Given the following information, calculate the degrees of freedom that should be used in the pooled-variance t test. s₁² = 4 s₂² = 6
N₁ = 16 n₂ = 25

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Multiple Choice

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Q09

Given the following information, calculate sp², the pooled sample variance that should be used in the pooled-variance t test. s₁² = 4 s₂² = 6
N₁ = 16 n₂ = 25

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Q10

The sample size in each independent sample must be the same if we are to test for differences between the means of two independent populations.

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True False

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Q11

When you test for differences between the means of two independent populations, you can only use a two-tail test.

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True False

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Q12

A statistics professor wanted to test whether the grades on a statistics test were the same for upper and lower classmen. The professor took a random sample of size 10 from each, conducted a test and found out that the variances were equal. For this situation, the professor should use a t test with related samples.

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True False

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Q13

A statistics professor wanted to test whether the grades on a statistics test were the same for upper and lower classmen. The professor took a random sample of size 10 from each, conducted a test and found out that the variances were equal. For this situation, the professor should use a t test with independent samples.

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True False

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Q14

TABLE 10-1
Are Japanese managers more motivated than American managers? A randomly selected group of each were administered the Sarnoff Survey of Attitudes Toward Life (SSATL), which measures motivation for upward mobility. The SSATL scores are summarized below.
-Referring to Table 10-1, judging from the way the data were collected, which test would likely be most appropriate to employ?

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Multiple Choice

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Q15

TABLE 10-1
Are Japanese managers more motivated than American managers? A randomly selected group of each were administered the Sarnoff Survey of Attitudes Toward Life (SSATL), which measures motivation for upward mobility. The SSATL scores are summarized below.
-Referring to Table 10-1, give the null and alternative hypotheses to determine if the mean SSATL score of Japanese managers differs from the mean SSATL score of American managers.

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Q16

TABLE 10-1
Are Japanese managers more motivated than American managers? A randomly selected group of each were administered the Sarnoff Survey of Attitudes Toward Life (SSATL), which measures motivation for upward mobility. The SSATL scores are summarized below.
-Referring to Table 10-1, what is the value of the test statistic?

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Q17

TABLE 10-1
Are Japanese managers more motivated than American managers? A randomly selected group of each were administered the Sarnoff Survey of Attitudes Toward Life (SSATL), which measures motivation for upward mobility. The SSATL scores are summarized below.
-Referring to Table 10-1, find the p-value if we assume that the alternative hypothesis was a two-tail test.

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Multiple Choice

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Q18

TABLE 10-2
A researcher randomly sampled 30 graduates of an MBA program and recorded data concerning their starting salaries. Of primary interest to the researcher was the effect of gender on starting salaries. The result of the pooled-variance t test of the mean salaries of the females (Population 1) and males (Population 2) in the sample is given below.
-Referring to Table 10-2, the researcher was attempting to show statistically that the female MBA graduates have a significantly lower mean starting salary than the male MBA graduates. Which of the following is an appropriate alternative hypothesis?

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Q19

TABLE 10-2
A researcher randomly sampled 30 graduates of an MBA program and recorded data concerning their starting salaries. Of primary interest to the researcher was the effect of gender on starting salaries. The result of the pooled-variance t test of the mean salaries of the females (Population 1) and males (Population 2) in the sample is given below.
-Referring to Table 10-2, the researcher was attempting to show statistically that the female MBA graduates have a significantly lower mean starting salary than the male MBA graduates. From the analysis in Table 10-2, the correct test statistic is

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Q20

TABLE 10-2
A researcher randomly sampled 30 graduates of an MBA program and recorded data concerning their starting salaries. Of primary interest to the researcher was the effect of gender on starting salaries. The result of the pooled-variance t test of the mean salaries of the females (Population 1) and males (Population 2) in the sample is given below.
-Referring to Table 10-2, the researcher was attempting to show statistically that the female MBA graduates have a significantly lower mean starting salary than the male MBA graduates. The proper conclusion for this test is

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Multiple Choice