# Question

A simple random sample of sizen is drawn from a population that is known to be normally distributed.The sample mean, x, is determined to be 104.3 and the sample standard deviation, s, is determined to be 15.9.

(a) Construct the 90% conﬁdence interval for the population mean if the sample size,n, is 15.

(b) Construct the 90% conﬁdence interval for the population mean if the sample size,n,is 25.How does increasing the sample size affect the width of the interval?

(c) Construct the 95% conﬁdence interval for the population mean if the sample size, n, is 15. Compare the results to those obtained in part (a). How does increasing the level of

conﬁdence affect the conﬁdence interval?

(a) Construct the 90% conﬁdence interval for the population mean if the sample size,n, is 15.

(b) Construct the 90% conﬁdence interval for the population mean if the sample size,n,is 25.How does increasing the sample size affect the width of the interval?

(c) Construct the 95% conﬁdence interval for the population mean if the sample size, n, is 15. Compare the results to those obtained in part (a). How does increasing the level of

conﬁdence affect the conﬁdence interval?

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