A state legislator wants to determine whether his voters' performance rating (0-100) has changed from last year to this year. The following table shows the legislator's performance from the same ten randomly selected voters for last year and this year. Use this data to find the 95% confidence interval for the true difference between the population means. Assume that the populations of voters' performance ratings are normally distributed for both this year and last year.
A state legislator wants to determine whether his voters' performance rating (0-100) has changed from last year to this year. The following table shows the legislator's performance from the same ten randomly selected voters for last year and this year. Use this data to find the 95% confidence interval for the true difference between the population means. Assume that the populations of voters' performance ratings are normally distributed for both this year and last year.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Step 2 of 4 :
Calculate the sample standard deviation of the paired differences. Round your answer to six decimal places.
Step 3 of 4 Calculate the margin of error to be used in constructing the confidence interval. Round your answer to six decimal places.
Step 4 of 4: Construct the 90% confidence interval.
Transcribed Image Text:A state legislator wants to determine whether his voters' performance rating (0-100) has changed from last year to this year. The following table shows the legislator's
performance from the same ten randomly selected voters for last year and this year. Use this data to find the 95% confidence interval for the true difference between
the population means. Assume that the populations of voters' performance ratings are normally distributed for both this year and last year.
Rating (last year) 75 79 51 86 75 83
Rating (this year) 82 81 73 78 82 67
87 69 44 75
94 42
59 87
Step 2 of 4: Calculate the sample standard deviation of the paired differences. Round your answer to six decimal places.
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