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) 1 3 4 5 8. 5 3 4 5. 3 1 4 3 6. 8. 3 2

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(c) Calculate d and sa
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 (f).
Consumer
1
2
3
4
5
6
7
8 C
Rating (last year)
6
5
3
4
5
8
5
5
Rating (this year)
3
1
4
3
6
8
3
2
CECCH
The claim is "The product ratings have changed
from last year to this year."
Let Hd be the hypothesized mean of the ratings last year minus the ratings this year. State Ho and H₂. Choose the correct answer below.
OA Ho: Hozd
OB. Ho: Hd 20
Ha: Hd <0
ⒸC. Ho: Hd #0
H:Hd=0
Ha: Hd <d
OD. Ho: Hd 50
E. Ho: Hd=0
H₂: Hd *0
OF. Ho: Hd Sd
H₂: Had
Ha: Hd 20
(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.
A. t>1.895
B. t< -2.365, t>2.365
C. t< -2.365
D. t< -1.895, t > 1.895
(c) Calculated and sd-
d=
(Type an integer or a decimal.)
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 (f). Consumer 1 2 3 4 5 6 7 8 C Rating (last year) 6 5 3 4 5 8 5 5 Rating (this year) 3 1 4 3 6 8 3 2 CECCH The claim is "The product ratings have changed from last year to this year." Let Hd be the hypothesized mean of the ratings last year minus the ratings this year. State Ho and H₂. Choose the correct answer below. OA Ho: Hozd OB. Ho: Hd 20 Ha: Hd <0 ⒸC. Ho: Hd #0 H:Hd=0 Ha: Hd <d OD. Ho: Hd 50 E. Ho: Hd=0 H₂: Hd *0 OF. Ho: Hd Sd H₂: Had Ha: Hd 20 (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. A. t>1.895 B. t< -2.365, t>2.365 C. t< -2.365 D. t< -1.895, t > 1.895 (c) Calculated and sd- d= (Type an integer or a decimal.)
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