A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 17.7, and the sample standard deviation, s, is found to be 5.8. (a) Construct a 95% confidence interval about u if the sample size, n, is 34. (b) Construct a 95% confidence interval about if the sample size, n, is 55. How does increasing the sample size affect the margin of error, E? (c) Construct a 98% confidence interval about μ if the sample size, n, is 34. How does increasing the level of confidence affect the size of the margin of error, E? (d) If the sample size is 21, what conditions must be satisfied to compute the confidence interval? Lower bound:: Upper bound: (Round to two decimal places as needed.) (b) Construct a 95% confidence interval about μ if the sample size, n, is 55. Lower bound:: Upper bound: (Round to two decimal places as needed.) How does increasing the sample size affect the margin of error, E? OA. The margin of error decreases. OB. The margin of error does not change. OC. The margin of error increases. ... (c) Construct a 98% confidence interval about μ if the sample size, n, is 34. P Lower bound:: Upper bound: (Round to two decimal places as needed.) Compare the results to those obtained in part (a). How does ineasing the level of confidence affect the size of the margin of error, E? OA. The margin of error does not change. OB. The margin of error increases. OC. The margin of error decreases. AT 0 of 18 ques

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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K
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to
be 17.7, and the sample standard deviation, s, is found to be 5.8.
(a) Construct a 95% confidence interval about u if the sample size, n, is 34.
(b) Construct a 95% confidence interval about u if the sample size, n, is 55. How does increasing the sample size affect the
margin of error, E?
(c) Construct a 98% confidence interval about μ if the sample size, n, is 34. How does increasing the level of confidence
affect the size of the margin of error, E?
(d) If the sample size is 21, what conditions must be satisfied to compute the confidence interval?
Lower bound:; Upper bound:
(Round to two decimal places as needed.)
(b) Construct a 95% confidence interval about u if the sample size, n, is 55.
Lower bound:: Upper bound:
(Round to two decimal places as needed.)
How does increasing the sample size affect the margin of error, E?
OA. The margin of error decreases.
OB. The margin of error does not change.
OC. The margin of error increases.
(c) Construct a 98% confidence interval about u if the sample size, n, is 34.
Lower bound:: Upper bound:
(Round to two decimal places as needed.)
Compare the results to those obtained in part (a). How does in reasing the level of confidence affect the size of the margin
of error, E?
OA. The margin of error does not change.
OB. The margin of error increases.
OC. The margin of error decreases.
y by
AT
2 Wee
0 of 18 questions
Transcribed Image Text:K A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 17.7, and the sample standard deviation, s, is found to be 5.8. (a) Construct a 95% confidence interval about u if the sample size, n, is 34. (b) Construct a 95% confidence interval about u if the sample size, n, is 55. How does increasing the sample size affect the margin of error, E? (c) Construct a 98% confidence interval about μ if the sample size, n, is 34. How does increasing the level of confidence affect the size of the margin of error, E? (d) If the sample size is 21, what conditions must be satisfied to compute the confidence interval? Lower bound:; Upper bound: (Round to two decimal places as needed.) (b) Construct a 95% confidence interval about u if the sample size, n, is 55. Lower bound:: Upper bound: (Round to two decimal places as needed.) How does increasing the sample size affect the margin of error, E? OA. The margin of error decreases. OB. The margin of error does not change. OC. The margin of error increases. (c) Construct a 98% confidence interval about u if the sample size, n, is 34. Lower bound:: Upper bound: (Round to two decimal places as needed.) Compare the results to those obtained in part (a). How does in reasing the level of confidence affect the size of the margin of error, E? OA. The margin of error does not change. OB. The margin of error increases. OC. The margin of error decreases. y by AT 2 Wee 0 of 18 questions
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,