Question

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 $\alpha = 0.05$, 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 Rating (last year) 6 7 5 3 8 5 8 6 Rating (this year) 3 5 6 2 8 2 9 3 (a) Identify the claim and state $H_0$ and $H_a$ The claim is \"The product ratings have changed from last year to this year.\" Let $\mu_d$ be the hypothesized mean of the ratings last year minus the ratings this year. State $H_0$ and $H_a$. Choose the correct answer below. OA. $H_0: \mu_d \leq 0$ $H_a: \mu_d > 0$ OD. $H_0: \mu_d \geq d$ $H_a: \mu_d < d$ B. $H_0: \mu_d = 0$ $H_a: \mu_d \neq 0$ C. $H_0: \mu_d \geq 0$ $H_a: \mu_d < 0$ OE. $H_0: \mu_d \leq d$ $H_a: \mu_d > d$ OF. $H_0: \mu_d \neq 0$ $H_a: \mu_d = 0$ (b) Find the critical value(s) and identify the rejection region(s). $t_0 = $ (Use a comma to separate answers as needed. Type an integer or a decimal. Round to three decimal places as needed.)

          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 $\alpha = 0.05$, 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
Rating (last year)
6
7
5
3
8
5
8
6
Rating (this year)
3
5
6
2
8
2
9
3
(a) Identify the claim and state $H_0$ and $H_a$
The claim is \"The product ratings have changed from last year to this year.\"
Let $\mu_d$ be the hypothesized mean of the ratings last year minus the ratings this year. State $H_0$ and $H_a$. Choose the
correct answer below.
OA. $H_0: \mu_d \leq 0$
$H_a: \mu_d > 0$
OD. $H_0: \mu_d \geq d$
$H_a: \mu_d < d$
B. $H_0: \mu_d = 0$
$H_a: \mu_d \neq 0$
C. $H_0: \mu_d \geq 0$
$H_a: \mu_d < 0$
OE. $H_0: \mu_d \leq d$
$H_a: \mu_d > d$
OF. $H_0: \mu_d \neq 0$
$H_a: \mu_d = 0$
(b) Find the critical value(s) and identify the rejection region(s).
$t_0 = $
(Use a comma to separate answers as needed. Type an integer or a decimal. Round to three decimal places
as needed.)

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 α = 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
Rating (last year)
6
7
5
3
8
5
8
6
Rating (this year)
3
5
6
2
8
2
9
3
(a) Identify the claim and state H0 and Ha
The claim is T̈he product ratings have changed from last year to this year.L̈et be the hypothesized mean of the ratings last year minus the ratings this year. State H0 and Ha. Choose the
correct answer below.
OA. H0: ≤ 0
Ha: > 0
OD. H0: ≥ d
Ha: < d
B. H0: = 0
Ha: ≠ 0
C. H0: ≥ 0
Ha: < 0
OE. H0: ≤ d
Ha: > d
OF. H0: ≠ 0
Ha: = 0
(b) Find the critical value(s) and identify the rejection region(s).
t0 =
(Use a comma to separate answers as needed. Type an integer or a decimal. Round to three decimal places
as needed.)

Added by Colleen V.

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