People were polled on how many books they read the previous year. Initial survey results indicate that s = 11.9 books. Complete parts (a) through (d) below. Click the icon to view a partial table of critical values. (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? This 95% confidence level requires subjects. (Round up to the nearest subject.) (c) What effect does doubling the required accuracy have on the sample size? O A. Doubling the required accuracy nearly halves the sample size. O B. Doubling the required accuracy nearly doubles the sample size. OC. Doubling the required accuracy nearly quarters the sample size. O D. Doubling the required accuracy nearly quadruples 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? O 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. O B. 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. OC. 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. O 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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6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Critical Value, za/2
Level of Confidence,
(1- a) • 100%
Area in Each Tail,
2
90%
0.05
1.645
95%
0.025
1.96
2.575
99%
0.005
Transcribed Image Text:Critical Value, za/2 Level of Confidence, (1- a) • 100% Area in Each Tail, 2 90% 0.05 1.645 95% 0.025 1.96 2.575 99% 0.005
People were polled on how many books they read the previous year. Initial survey results indicate that s = 11.9 books. Complete parts (a) through (d) below.
A Click the icon to view a partial table of critical values.
(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?
This 95% confidence level requires subjects. (Round up to the nearest subject.)
(c) What effect does doubling the required accuracy have on the sample size?
O A. Doubling the required accuracy nearly halves the sample size.
O B. Doubling the required accuracy nearly doubles the sample size.
O C. Doubling the required accuracy nearly quarters the sample size.
O D. Doubling the required accuracy nearly quadruples 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?
O 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.
O B. Increasing the level of confidence increases the sample
required. For a fixed margin of error, greater confidence
be achieved with a smaller sample size.
O C. 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.
O 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 = 11.9 books. Complete parts (a) through (d) below. A Click the icon to view a partial table of critical values. (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? This 95% confidence level requires subjects. (Round up to the nearest subject.) (c) What effect does doubling the required accuracy have on the sample size? O A. Doubling the required accuracy nearly halves the sample size. O B. Doubling the required accuracy nearly doubles the sample size. O C. Doubling the required accuracy nearly quarters the sample size. O D. Doubling the required accuracy nearly quadruples 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? O 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. O B. Increasing the level of confidence increases the sample required. For a fixed margin of error, greater confidence be achieved with a smaller sample size. O C. 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. O 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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