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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) 44 62 73 62 41 62 41 41 63 80 49 69 Rating (this year) 50 69 92 91 55 52 81 91 70 80 Copy Data Step 2 of 4: Calculate the sample standard deviation of the paired differences. Round your answer to six decimal places.

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) 44 62 73 62 41 62 41 41 63 80 49 69 Rating (this year) 50 69 92 91 55 52 81 91 70 80 Copy Data Step 2 of 4: Calculate the sample standard deviation of the paired differences. Round your answer to six decimal places.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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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) 44 62 73 62 41 41 63 80 49 69 Rating (this year) 50 69 92 91 55 52 81 91 70 80 Copy Data Step 2 of 4: Calculate the sample standard deviation of the paired differences. Round your answer to six decimal places.
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) 44 62 73 62 41 41 63 80 49 69 Rating (this year) 50 69 92 91 55 52 81 91 70 80 Copy Data Step 2 of 4: Calculate the sample standard deviation of the paired differences. Round your answer to six decimal places.
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) 44 62 73 62 41 41 63 80 49 69 Rating (this year) 50 69 92 91 55 52 81 91 70 80 Copy Data Step 1 of 4: Find the point estimate for the population mean of the paired differences. Let x₁ be the rating from last year and x₂ be the rating from this year and use the formula d = x₂x₁ to calculate the paired differences. Round your answer to one decimal place.
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) 44 62 73 62 41 41 63 80 49 69 Rating (this year) 50 69 92 91 55 52 81 91 70 80 Copy Data Step 1 of 4: Find the point estimate for the population mean of the paired differences. Let x₁ be the rating from last year and x₂ be the rating from this year and use the formula d = x₂x₁ to calculate the paired differences. Round your answer to one decimal place.
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