(d) Use the t-test to find the standardized test statistic t t= (Type an integer or a decimal. Round to three decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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(d) Use the t-test to find the standardized test statistic t.
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 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 (f).
Consumer
Rating (last year)
Rating (this year)
8 D
5
2.
6
6
3
3
6
8
3
'a Pd
a rd
(b) Find the critical value(s) and identify the rejection region(s).
to = - 2.365,2.365
(Use a comma to separate answers as needed. Type an integer or a decimal. Round to three decimal places as needed.)
Identify the rejection region. Choose the correct answer below.
OA. 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 s4.
d= 1.375
(Type an integer or a decimal.)
Calculate sa-
S= 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.
(Type an integer or a decimal. Round
three decimal places as needed.)
Transcribed Image Text: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 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 (f). Consumer Rating (last year) Rating (this year) 8 D 5 2. 6 6 3 3 6 8 3 'a Pd a rd (b) Find the critical value(s) and identify the rejection region(s). to = - 2.365,2.365 (Use a comma to separate answers as needed. Type an integer or a decimal. Round to three decimal places as needed.) Identify the rejection region. Choose the correct answer below. OA. 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 s4. d= 1.375 (Type an integer or a decimal.) Calculate sa- S= 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. (Type an integer or a decimal. Round three decimal places as needed.)
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