Deck 6: Estimates and Sample Sizes With One Sample

Question 1

Find the minimum sample size required to estimate a population proportion p .
Find the margin of error E that corresponds to the above statistics and confidence level.

Answer 1

E = .052

Question 2

For the next questions, find the critical value that corresponds to the given confidence level.
90%

Answer 2

Question 3

For the next questions, find the critical value that corresponds to the given confidence level.
99%

Answer 3

Question 4

Find the minimum sample size required to estimate a population proportion p .
Find the margin of error E that corresponds to the above statistics and confidence level.

Question 5

Find the minimum sample size required to estimate a population mean
Margin of error: 5 seconds; confidence level: 95%; seconds

Question 6

Use the following confidence level interval limits to find the point estimate
x and
the margin of error E .
Biologists, studying the weights of mountain whitefish, in grams, find the confidence interval of the mean weights from 328.1 to 713.5 actually does contain the true value of .

Question 7

Find the minimum sample size required to estimate a population proportion p .
Margin of error: four percentage points; confidence level: 95%; from a prior study, ˆp is estimated by the decimal equivalent 12.5%

Question 8

For the next questions, assume that a simple random sample has been taken,
the population standard deviation is not known, and the population is normally
distributed. Medical researchers studying cochlear implants, devices placed behind
the bone in the ear to improve hearing, found the following number of implants
over the last twelve years in children under 3 years old. Use a 90% confidence level
and the following sample data:
Find the critical value .

Question 9

For the next questions, assume that a simple random sample has been taken,
the population standard deviation is not known, and the population is normally
distributed. Medical researchers studying cochlear implants, devices placed behind
the bone in the ear to improve hearing, found the following number of implants
over the last twelve years in children under 3 years old. Use a 90% confidence level
and the following sample data:
Find the critical value .

Question 10

For the next questions, determine which is the correct distribution.
95% Confidence Interval for . The sample data appear to come from a normally distributed population.

A) Normal distribution
B) Student t distribution
C) Chi square distribution
D) None of the above

Question 11

For the next questions, determine which is the correct distribution.
95% Confidence Interval for . The sample data appear to come from a normally distributed population.

A) Normal distribution
B) Student t distribution
C) Chi square distribution
D) None of the above

Question 12

Find the minimum sample size required to estimate a population mean
Find the margin of error E that corresponds to the above statistics and confidence level.

Question 13

Use the following confidence level interval limits to find the point estimate ˆp and
the margin of error E .
As part of a restoration project at a wetland, biologists planted Lyngbye's sedge shoots. After one year, they find the confidence interval of the proportion of surviving shoots from .648 to .752 actually does contain the true value of p .

Question 14

For the next questions, find the critical value tα/2 that corresponds to the given
confidence level.
90%; is unknown ; population appears to be normally distributed

Question 15

For the next questions, find the critical value tα/2 that corresponds to the given
confidence level.
95%; is unknown ; population appears to be normally distributed

Question 16

Find the minimum sample size required to estimate a population mean
Find the margin of error E that corresponds to the above statistics and confidence level.

Question 17

For the next questions, assume that a simple random sample has been taken,
the population standard deviation is not known, and the population is normally
distributed. Medical researchers studying cochlear implants, devices placed behind
the bone in the ear to improve hearing, found the following number of implants
over the last twelve years in children under 3 years old. Use a 90% confidence level
and the following sample data:
Find the margin of error E that corresponds to the above statistics and confidence level.

Question 18

Use the following confidence level interval limits to find the point estimate and
the margin of error E .
Medical researchers, studying the improvement of individuals with Down Syndrome on a language and memory test after taking a certain drug, find the confidence interval of the mean test score improvement from 13.96 to 16.04 actually does contain the true value of .

Question 19

Find the minimum sample size required to estimate a population proportion p .
Margin of error: three percentage points; confidence level: 90%; from a prior study, is estimated by the decimal equivalent 60.7%

Question 20

Use the following confidence level interval limits to find the point estimate ˆp and the margin of error E .
An aquatic site adjacent to an old woodchipping mill is being studied to determine whether environmental liabilities exist from previous woodchipping operations. Because wood chips can leach toxic compounds into the water, environmental consultants measure the proportion of wood chips found in samples taken from various sediment cores. They find the confidence interval of the proportion of wood chips from .194 to .228 actually does contain the true value of p .

Question 21

For the next questions, determine which is the correct distribution.
95% Confidence Interval for . The sample data appear to come from a normally distributed population.

A) Normal distribution
B) Student t distribution
C) Chi square distribution
D) None of the above

Question 22

Use the following confidence level interval limits to find the point estimate and
the margin of error E .
Medical researchers, studying cochlear implants, devices placed behind the bone in the ear to improve hearing, find confidence interval of the mean number of implants over the past 12 years from 186.9 to 408 actually does contain the true value of .

Question 23

For the next questions, assume that a simple random sample has been taken
and the population is normally distributed. Engineers assessing the variation in
wait time at Starbucks, Dunkin Donuts, and Caribou Coffee determined that the
standard deviation of the wait time for a sample of nine customers was 25.6
seconds. Use a 95% confidence level.
Find the critical value .

Question 24

For the next questions, assume that a simple random sample has been taken
and the population is normally distributed. Engineers assessing the variation in
wait time at Starbucks, Dunkin Donuts, and Caribou Coffee determined that the
standard deviation of the wait time for a sample of nine customers was 25.6
seconds. Use a 95% confidence level.
Find the critical value .

Question 25

For the next questions, find the critical value
that corresponds to the given
confidence level.
95%; is unknown ; population appears to be normally distributed

Question 26

For the next questions, determine which is the correct distribution.
99% Confidence Interval for . The sample data appear to come from a normally distributed population.

A) Normal distribution
B) Student t distribution
C) Chi square distribution
D) None of the above

Question 27

For the next questions, find the critical value
that corresponds to the given
confidence level.
98%; is unknown ; population appears to be normally distributed

Question 28

Find the minimum sample size required to estimate a population mean
Margin of error: 7 km; confidence level: 90%;

Question 29

For the next questions, assume that a simple random sample has been taken
and the population is normally distributed. Engineers assessing the variation in
wait time at Starbucks, Dunkin Donuts, and Caribou Coffee determined that the
standard deviation of the wait time for a sample of nine customers was 25.6
seconds. Use a 95% confidence level.
Find the margin of error E that corresponds to the above statistics and confidence level.