You are given the sample mean and the population standard deviation. Use this information to construct the 90% and 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. From a random sample of 71 dates, the mean record high daily temperature in a certain city has a mean of 85.37°F. Assume the population standard deviation is 14.26°F. The 90% confidence interval is ( ). (Round to two decimal places as needed.)
You are given the sample mean and the population standard deviation. Use this information to construct the 90% and 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. From a random sample of 71 dates, the mean record high daily temperature in a certain city has a mean of 85.37°F. Assume the population standard deviation is 14.26°F. The 90% confidence interval is ( ). (Round to two decimal places as needed.)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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![The image contains a statistical exercise from Pearson Education. It instructs you to use the sample mean and the population standard deviation to construct 90% and 95% confidence intervals for the population mean, then interpret the results and compare the widths of these intervals.
**Exercise details:**
- Sample size: 71 dates
- Mean record high daily temperature: 85.37°F
- Population standard deviation: 14.26°F
**Task:**
- Calculate the 90% confidence interval.
**Response Area:**
The 90% confidence interval is [ , ]. (Round to two decimal places as needed.)
**Additional Features:**
- Buttons for "Help Me Solve This," "View an Example," and "Get More Help."
- A "Check Answer" button on the right.
- Copyright information: © 2021 Pearson Education Inc. All rights reserved. Links to Terms of Use, Privacy Policy, Permissions, and Contact Us.
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Transcribed Image Text:The image contains a statistical exercise from Pearson Education. It instructs you to use the sample mean and the population standard deviation to construct 90% and 95% confidence intervals for the population mean, then interpret the results and compare the widths of these intervals.
**Exercise details:**
- Sample size: 71 dates
- Mean record high daily temperature: 85.37°F
- Population standard deviation: 14.26°F
**Task:**
- Calculate the 90% confidence interval.
**Response Area:**
The 90% confidence interval is [ , ]. (Round to two decimal places as needed.)
**Additional Features:**
- Buttons for "Help Me Solve This," "View an Example," and "Get More Help."
- A "Check Answer" button on the right.
- Copyright information: © 2021 Pearson Education Inc. All rights reserved. Links to Terms of Use, Privacy Policy, Permissions, and Contact Us.
No graphs or diagrams are present in the image.
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