A college reports that in the past, the ages of its undergraduate students was normally distributed with
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A college reports that in the past, the ages of its undergraduate students was normally distributed with a mean of 21.3 years. In the following table, you are given ages that were obtained by taking a recent random sample of 9 undergraduate students. | |||||||
age 19 22 23 19 21 22 19 23 21 | |||||||
a. Find the point estimate for the mean age of the undergraduate student population. | |||||||
b. Find the point estimate for the standard deviation of the undergraduate student population. | |||||||
c. Find the standard error of the sampling distribution. | |||||||
d. Describe the sampling distribution of the mean for this sample of 9. | |||||||
e. Find the margin of error for a 99% confidence level. | |||||||
f. Find the interval estimate for the mean of the population at a 99% confidence level. | |||||||
from: | to: | ||||||
g. Write a sentence to interpret the result in part f. | |||||||
h. Explain how and why the confidence interval would change if the confidence level was decreased to 95%. | |||||||
i. Explain how and why the confidence interval would change if the sample size was increased. |
Related Book For
Statistics for Business and Economics
ISBN: 978-0132930192
8th edition
Authors: Paul Newbold, William Carlson, Betty Thorne
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