# Question: A simple random sample of size n is drawn from

A simple random sample of size n is drawn from a population. The sample mean, x̄, is 54.8 and the sample standard deviation is10.5.

(a) Construct the 90% conﬁdence interval for the population mean if the sample size, n, is 30.

(b) Construct the 90% conﬁdence interval for the population mean if the sample size, n,is 51.How does increasing the sample size affect the width of the interval?

(c) Construct the 99% conﬁdence interval for the population mean if the sample size, n, is 30. Compare the results to tho se 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 30.

(b) Construct the 90% conﬁdence interval for the population mean if the sample size, n,is 51.How does increasing the sample size affect the width of the interval?

(c) Construct the 99% conﬁdence interval for the population mean if the sample size, n, is 30. Compare the results to tho se obtained in part (a). How does increasing the level of conﬁdence affect the conﬁdence interval?

## Answer to relevant Questions

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 diameter of the Douglas ﬁr tree is measured at a height of 1.37 meters.The following data represent the diameter in centimeters of a random sample of 12 Douglas ﬁrs in the western Washington Cascades. (a) Obtain a ...From a random sample of 1201 Americans, it was discovered that 1139 of them lived in neighborhoods with acceptable levels of carbon monoxide. Source: Environmental Protection Agency. (a) Obtain a point estimate for the ...Construct a conﬁdence interval of the population proportion at the given level of conﬁdence. x = 120, n = 500, 99% conﬁdence In a USA Today/Gallup poll, 768 of 1024 randomly selected adult Americans aged 18 or older stated that a candidate’s positions on the issue of family value are extremely or very important in determining their vote for ...Post your question