Find the value of the test statistic

Assignment Help Basic Statistics

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

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