Find the value of the test statistic

Reference no: EM13761561

A consumer advocate researches the length of life between two brands of refrigerators, Brand A and Brand B. He collects data on the longevity of 40 refrigerators for Brand A and repeats the sampling for Brand B. These data are measured in years and can be found on the text website, labeled Refrigerator Longevity. Let Brands A and B represent populations 1 and 2, respectively.

Brand A	Brand B	Brand A	Brand B
25	21	18	19
15	15	24	19
24	15	17	17
24	19	18	22
12	24	19	19
25	19	18	25
20	21	23	22
19	19	12	15
24	19	24	15
12	15	18	24
18	20	25	15
19	23	17	12
15	19	14	23
14	13	13	25
14	17	16	21
22	14	21	23
12	17	13	24
21	17	20	16
13	14	20	13
19	16	20	25

a. Specify the competing hypotheses to test whether the average length of life differs between the two brands.

H₀: μ₁ - μ₂ ≥ 0; H_A: μ₁ - μ₂ < 0
H₀: μ₁ - μ₂ ≤ 0; H_A: μ₁ - μ₂ > 0
H₀: μ₁ - μ₂ = 0; H_A: μ₁ - μ₂ ≠ 0

b. Using the appropriate commands in Excel, find the value of the test statistic. Assume that σA² = 4.6 and σB² = 5.3. What is the p-value?

c. At the 5% significance level, what is the conclusion?

Reject H₀, the average life does not differ between the brands.
Do not reject H₀, the average life differs between the brands.
Do not reject H₀, the average life does not differ between the brands.
Reject H₀, the average life differs between the brands.

Reference no: EM13761561

Questions Cloud

Describe how it works you would then point out an area : once you describe how it works you would then point out an area where there might be a problem and you suggest a way to solve that problem with and app or program or something like that

Find a discography of the artists recordings : Write a biography of a group you're critiquing. Find a Discography of the artist's recordings and make a print out to include in your review

Example of measurement : Which of the following is NOT an example of measurement?

Create presentation for business-appropriate design template : Create a presentation for a business-appropriate design template and follow the design principles for visual aids found in the text.

Find the value of the test statistic : Using the appropriate commands in Excel, find the value of the test statistic. Assume that σA2 = 4.6 and σB2 = 5.3. What is the p-value

Aspects of creating and conducting an online questionnaire : Describe the easy and difficult aspects of creating and conducting an online questionnaire. Assess the reliability of the collected data and include the survey report

Harnessing information management : In Assignment 1, you investigated data analytics and the utilization of data analytics in business. In this assignment, use the company or industry that you selected in Assignment 1. Use the Internet or Strayer Library to explore the relationship ..

Analyze sequential game and advise kodak : Analyze the following sequential game and advise Kodak about whether they should introduce the new product, Picture CD.

Cyber security in business organizations : Determine the fundamental challenges that organizations face in general in regard to protecting organizational assets and information.

User Account

All Pages