A company wants to detemine whether its consumer product ratings (0 - 10) have changed from last year to this year. The table below shows the company's product ratings from eight consumers for last year and this year. At a= 0.05, is the enough evidence to conclude that the ratings have changed? Assume the samples are random and dependent, and the population is normally distributed. Complete parts (a) through (n). Consumer Rating (last year) Rating (this year) 7 8 0 5 1 2 3 4 5 6 5 1 6 8. 5. 2 3 3 6 8 3 Identify the rejection region. Choose the correct answer below. O A. t>1.895 B. t< - 2.365, t> 2.365 OC. t< -2.365 O D. t< -1.895, t> 1.895 (c) Calculate d and Sg. d= 1.375 (Type an integer or a decimal.) Calculate sa

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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(e) Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below.
A company wants to determine whether its consumer product ratings (0- 10) have changed from last year to this year. The table below shows the company's product ratings from eight consumers for last year and this year. At a = 0.05, is there
enough evidence to conclude that the ratings have changed? Assume the samples are random and dependent, and the population is normally distributed. Complete parts (a) through (n).
Consumer
Rating (last year)
Rating (this year)
4
5
6
5
3
1
4
3
3
Identify the rejection region. Choose the correct answer below.
O A. t> 1.895
YB. t< -2.365, t> 2.365
O C. t< -2.365
O D. t< - 1.895, t> 1.895
(c) Calculate d and s4.
d= 1.375
(Type an integer or a decimal.)
Calculate sa-
$= 1.923
(Type an integer or a decimal. Round to three decimal places as needed.)
(d) Use the t-test to find the standardized test statistic t.
t= 2.022
(Type an integer or a decimal. Round to three decimal places as needed.)
(e) Decide
hether
reject or fail to reject the null hypothesis. Choose the correct answer below
O Fail to reject the null hypothesis.
O Reject the null hypothesis.
Transcribed Image Text:A company wants to determine whether its consumer product ratings (0- 10) have changed from last year to this year. The table below shows the company's product ratings from eight consumers for last year and this year. At a = 0.05, is there enough evidence to conclude that the ratings have changed? Assume the samples are random and dependent, and the population is normally distributed. Complete parts (a) through (n). Consumer Rating (last year) Rating (this year) 4 5 6 5 3 1 4 3 3 Identify the rejection region. Choose the correct answer below. O A. t> 1.895 YB. t< -2.365, t> 2.365 O C. t< -2.365 O D. t< - 1.895, t> 1.895 (c) Calculate d and s4. d= 1.375 (Type an integer or a decimal.) Calculate sa- $= 1.923 (Type an integer or a decimal. Round to three decimal places as needed.) (d) Use the t-test to find the standardized test statistic t. t= 2.022 (Type an integer or a decimal. Round to three decimal places as needed.) (e) Decide hether reject or fail to reject the null hypothesis. Choose the correct answer below O Fail to reject the null hypothesis. O Reject the null hypothesis.
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