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Back to 8.1 A Single Population Mean using the Normal Distribution

8.1 Exercise 16

Avg difficulty 2.5

Use the following information to answer the next five exercises: The standard deviation of the weights of elephants is known to be approximately 15 pounds. We wish to construct a 95% confidence interval for the mean weight of newborn elephant calves. Fifty newborn elephants are weighed. The sample mean is 244 pounds. The sample standard deviation is 11 pounds.

What will happen to the confidence interval obtained, if 500 newborn elephants are weighed instead of 50? Why?

OpenStax Introductory Statistics 2e, 8.1 A Single Population Mean using the Normal Distribution, exercise 16

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Adapted from Introductory Statistics 2e © 2023 Rice University. Licensed under CC BY 4.0. Source: Introductory Statistics 2e. Imported at revision 50ec917.