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 3 4 5 6 8 D 6 5 3 4 5 8 5 5 Rating (last year) Rating (this year) 3 1 4 3 6 8 3 2 CETTE 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 Ha. Choose the correct answer below. OA. Ho: Hozd OB. Ho: 20 H₂: Hd <0 OC. Ho: Hd *0 H₂: H0 OF. Ho: Hasd H:Hdd (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 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 c. t<-2.365 D. t<-1.895, t> 1.895 (c) Calculated and sa- d= (Type an integer or a decimal.)

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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
6
5
3
4
5
8
5
5
Rating (last year)
Rating (this year)
3
1
4
3
6
8
3
2
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
OC. Ho: Hd #0
OB. Ho: Hd 20
Ha: Hd <0
H₂H<d
Ha: Hd=0
OD. Ho: Ha 50
VE. Ho: Hd=0
Ha: Hd *0
Ha: Hd>0
OẸ Hoi Hy sở
Ha: Had
(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
OC. t<-2.365
OD. t<-1.895, 1>1.895
(c) Calculated and s-
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 6 5 3 4 5 8 5 5 Rating (last year) Rating (this year) 3 1 4 3 6 8 3 2 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 OC. Ho: Hd #0 OB. Ho: Hd 20 Ha: Hd <0 H₂H<d Ha: Hd=0 OD. Ho: Ha 50 VE. Ho: Hd=0 Ha: Hd *0 Ha: Hd>0 OẸ Hoi Hy sở Ha: Had (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 OC. t<-2.365 OD. t<-1.895, 1>1.895 (c) Calculated and s- d= (Type an integer or a decimal.)
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