People were polled on how many books they read the previous year. Initial survey results indicate that s = 16.9 books. Complete parts (a) through (d) below. (a) How many subjects are needed to estimate the mean number of books read the previous year within six books with 95% confidence? This 95% confidence level requires subjects. (Round up to the nearest subject.) (b) How many subjects are needed to estimate the mean number of books read the previous year within three books with 95% confidence? subjects. (Round up to the nearest subject.) This 95% confidence level requires (c) What effect does doubling the required accuracy have on the sample size? A. Doubling the required accuracy nearly halves the sample size. B. Doubling the required accuracy nearly quarters the sample size. C. Doubling the required accuracy nearly quadruples the sample size. D. Doubling the required accuracy nearly doubles the sample size. (d) How many subjects are needed to estimate the mean number of books read the previous year within six books with 99% confidence? This 99% confidence level requires subjects. (Round up to the nearest subject.) Compare this result to part (a). How does increasing the level of confidence in the estimate affect sample size? Why is this reasonable? A. Increasing the level of confidence increases the sample size required. For a fixed margin of error, greater confidence can be achieved with a larger sample size. B. Increasing the level of confidence decreases the sample size required. For a fixed margin of error, greater confidence can be achieved with a larger sample size. C. Increasing the level of confidence increases the sample size required. For a fixed margin of error, greater confidence can be achieved with a smaller sample size. D. Increasing the level of confidence decreases the sample size required. For a fixed margin of error, greater confidence can be achieved with a smaller sample size.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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People were polled on how many books they read the previous year. Initial survey results indicate that s = 16.9 books. Complete parts (a) through (d) below.
(a) How many subjects are needed to estimate the mean number of books read the previous year within six books with 95% confidence?
This 95% confidence level requires
subjects. (Round up to the nearest subject.)
(b) How many subjects are needed to estimate the mean number of books read the previous year within three books with 95% confidence?
subjects. (Round up to the nearest subject.)
This 95% confidence level requires
(c) What effect does doubling the required accuracy have on the sample size?
A. Doubling the required accuracy nearly halves the sample size.
B. Doubling the required accuracy nearly quarters the sample size.
C. Doubling the required accuracy nearly quadruples the sample size.
D. Doubling the required accuracy nearly doubles the sample size.
(d) How many subjects are needed to estimate the mean number of books read the previous year within six books with 99% confidence?
This 99% confidence level requires subjects. (Round up to the nearest subject.)
Compare this result to part (a). How does increasing the level of confidence in the estimate affect sample size? Why is this reasonable?
A. Increasing the level of confidence increases the sample size required. For a fixed margin of error, greater confidence can be achieved with a larger sample size.
B. Increasing the level of confidence decreases the sample size required. For a fixed margin of error, greater confidence can be achieved with a larger sample size.
C. Increasing the level of confidence increases the sample size required. For a fixed margin of error, greater confidence can be achieved with a smaller sample size.
D. Increasing the level of confidence decreases the sample size required. For a fixed margin of error, greater confidence can be achieved with a smaller sample size.
Transcribed Image Text:People were polled on how many books they read the previous year. Initial survey results indicate that s = 16.9 books. Complete parts (a) through (d) below. (a) How many subjects are needed to estimate the mean number of books read the previous year within six books with 95% confidence? This 95% confidence level requires subjects. (Round up to the nearest subject.) (b) How many subjects are needed to estimate the mean number of books read the previous year within three books with 95% confidence? subjects. (Round up to the nearest subject.) This 95% confidence level requires (c) What effect does doubling the required accuracy have on the sample size? A. Doubling the required accuracy nearly halves the sample size. B. Doubling the required accuracy nearly quarters the sample size. C. Doubling the required accuracy nearly quadruples the sample size. D. Doubling the required accuracy nearly doubles the sample size. (d) How many subjects are needed to estimate the mean number of books read the previous year within six books with 99% confidence? This 99% confidence level requires subjects. (Round up to the nearest subject.) Compare this result to part (a). How does increasing the level of confidence in the estimate affect sample size? Why is this reasonable? A. Increasing the level of confidence increases the sample size required. For a fixed margin of error, greater confidence can be achieved with a larger sample size. B. Increasing the level of confidence decreases the sample size required. For a fixed margin of error, greater confidence can be achieved with a larger sample size. C. Increasing the level of confidence increases the sample size required. For a fixed margin of error, greater confidence can be achieved with a smaller sample size. D. Increasing the level of confidence decreases the sample size required. For a fixed margin of error, greater confidence can be achieved with a smaller sample size.
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