You are given the sample of the population standard deviation use this information to construct the 90% and 95% confidence interval for the population mean. Interpret the result and compare the width you the confidence intervals from a random sample of 57 dates, the mean record high daily temptin a certain city has a mean of 86.90F assume the population standard deviation is 15.39F

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 10PPS
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You are given the sample of the population standard deviation use this information to construct the 90% and 95% confidence interval for the population mean. Interpret the result and compare the width you the confidence intervals from a random sample of 57 dates, the mean record high daily temptin a certain city has a mean of 86.90F assume the population standard deviation is 15.39F

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Step 1

Solution:

Let X be the high daily tempt in a city.

From the given information, x-bar=86.90, σ=15.39 and n=57.

 

Step 2

The confidence level is 0.90.

Statistics homework question answer, step 2, image 1

Then, the 90% confidence interval for the population mean is

Statistics homework question answer, step 2, image 2

Then, the 90% confidence interval for the population mean is (83.5467, 90.2533).

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