The height, in meters, of adult male African elephants may be assumed to be normally distributed with a mean µ and standard deviation of 0.20. The heights of a sample of 12 such elephants were measured with the following results, in meters. 3.37 3.45 2.93 3.42 3.49 3.67 2.96 3.57 3.36 2.89 3.22 2.91 The mean of the above 12 numbers is 3.27

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The height, in meters, of adult male African elephants may be assumed to be normally distributed with a mean µ and standard deviation of 0.20. The heights of a sample of 12 such elephants were measured with the following results, in meters.

3.37 3.45 2.93 3.42 3.49 3.67 2.96 3.57 3.36 2.89 3.22 2.91

The mean of the above 12 numbers is 3.27

(a) State the point estimate of the mean height of adult male African elephants, and calculate the margin of error for a 90% confidence interval estimate for the mean height

(b) Construct a 90% confidence interval: 

(c) What sample size is needed so that the error is no more than 0.01?

n =  elephants.

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