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.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 2E
icon
Related questions
Question
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.

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.
Copy Data
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. Copy Data
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 4 images

Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

Can you please calculate the 95% confidence interval for this problem

Solution
Bartleby Expert
SEE SOLUTION
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax