A company wants to determine whether it's consumer product ratings (0-10) have changed from last year to this year. The table below shows the company's product ratings from 8 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-F. ConsumerRating (last year)Rating (this year)O D. Ho: Hd ≤0Ha: d>0166Calculate Sd.25OA. t> 1.895OB. t< -1.895, t > 1.895OC. t< -2.365O D. t< -2.365, t> 2.365c) Calculate d and sd.d=0(Type an integer or a decimal.)732145656561010779(a) Identify the claim and state Ho and HaThe claim is "The product ratings havefrom last year to this year."Let μd be the hypothesized mean of the ratings last year minus the ratings this year. State Ho and H₂. Choose the correct answer below.ⒸA. Ho: Hd ≤dHad867PO B.Ho: Hd #0Ha: Hd=0(b) Find the critical value(s) and identify the rejection region(s).to =0(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.O E. Ho Hd = 0Ha Hd #0 OB. t< -1.895, t > 1.895OC. t< -2.365O D. t< -2.365, t> 2.365(c) Calculated and sa-d=1(Type an integer or a decimal.)Calculate Sd(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 to three decimal places as needed.)e) Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below.OFail to reject the null hypothesis.O Reject the null hypothesis.) Interpret the decision in the context of the original claim. Choose the correct answer below.A. At the 5% significance level, there is enough evidence to support the claim that the product ratings have changed from last year to this year.D B. At the 5% significance level, there is not enough evidence to support the claim that the product ratings have changed from last year to this year.O C. The sample was not large enough to make a conclusion.D. The product ratings have changed from last year to this year.

Answered: Image /qna-images/answer/da5667bb-22f5-40b4-bfe5-94894ae5a32b.jpg

Answered: Consumer Rating (last year) Rating…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

A company wants to determine whether it's consumer product ratings (0-10) have changed from last year to this year. The table below shows the company's product ratings from 8 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-F.

Consumer
Rating (last year)
Rating (this year)
O D. Ho: Hd ≤0
Ha: d>0
1
6
6
Calculate Sd.
2
5
OA. t> 1.895
OB. t< -1.895, t > 1.895
OC. t< -2.365
O D. t< -2.365, t> 2.365
c) Calculate d and sd.
d=0
(Type an integer or a decimal.)
7
3
2
1
4
5
6
5
6
5
6
10
10
7
7
9
(a) Identify the claim and state Ho and Ha
The claim is "The product ratings have
from last year to this year."
Let μd be the hypothesized mean of the ratings last year minus the ratings this year. State Ho and H₂. Choose the correct answer below.
ⒸA. Ho: Hd ≤d
Had
8
6
7
P
O B.
Ho: Hd #0
Ha: Hd=0
(b) Find the critical value(s) and identify the rejection region(s).
to =0
(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.
O E. Ho Hd = 0
Ha Hd #0

OB. t< -1.895, t > 1.895
OC. t< -2.365
O D. t< -2.365, t> 2.365
(c) Calculated and sa-
d=1
(Type an integer or a decimal.)
Calculate Sd
(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 to three decimal places as needed.)
e) Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below.
OFail to reject the null hypothesis.
O Reject the null hypothesis.
) Interpret the decision in the context of the original claim. Choose the correct answer below.
A. At the 5% significance level, there is enough evidence to support the claim that the product ratings have changed from last year to this year.
D B. At the 5% significance level, there is not enough evidence to support the claim that the product ratings have changed from last year to this year.
O C. The sample was not large enough to make a conclusion.
D. The product ratings have changed from last year to this year.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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