A consumer advocate researches the length of life between two brands of refrigerators, Brand A and Brand B. The accompanying data file shows the longevity of 40 refrigerators for Brand A and the longevity of 40 refrigerators for Brand B (Brand_A and Brand_B, respectively, both measured in years).
Excel Data File (Attached)
Assume that μ1 is the mean longevity for Brand A and μ2 is the mean longevity for Brand B.
a. Specify the competing hypotheses to test whether the average length of life differs between the two brands.
b-1. Calculate the value of the test statistic. Assume that the population variances are equal.
Note: Negative value should be indicated by a minus sign. Round your answer to 4 decimal places.
b-2. Find the p-value.
multiple choice 1
p-value Picture 0.10
0.05 Picture p-value < 0.10
0.025 Picture p-value < 0.05
0.01 Picture p-value < 0.025
p-value < 0.01
c. At the 10% significance level, what is the conclusion?
multiple choice 2
Reject H0, there is evidence that the average life differs between the brands.
Reject H0, there is no evidence that the average life differs between the brands.
Do not reject H0, there is evidence that the average life differs between the brands.
Do not reject H0, there is no evidence that the average life differs between the brands.
