Problem

Part 1 of 2 24 points Points: 0 of 1 Save A refrigerator manufacturer claims that the mean life of its competitor's refrigerators is less than 14 years. You are asked to perform a hypothesis test to test this claim. (a) How would you write the null and alternative hypothesis if you represent the manufacturer and want to support the claim? (b) How would you write the null and alternative hypothesis if you represent the competitor and want to reject the claim? (a) $\mathrm{H}_{0}$ : 14 $\mathrm{H}_{\mathrm{a}}$ : 14

Solution

Step 1 :The null hypothesis (H0) is usually a statement of no effect or no difference. The alternative hypothesis (Ha) is what you might believe to be true or hope to prove true.

Step 2 :If you represent the manufacturer and want to support the claim, the null hypothesis would be that the mean life of the competitor's refrigerators is equal to or more than 14 years, and the alternative hypothesis would be that the mean life is less than 14 years.

Step 3 :If you represent the competitor and want to reject the claim, the null hypothesis would be that the mean life of the refrigerators is less than 14 years, and the alternative hypothesis would be that the mean life is equal to or more than 14 years.

Step 4 :Final Answer: (a) If you represent the manufacturer and want to support the claim: Null Hypothesis (H0): The mean life of the competitor's refrigerators is equal to or more than 14 years. Alternative Hypothesis (Ha): The mean life of the competitor's refrigerators is less than 14 years.

Step 5 :Final Answer: (b) If you represent the competitor and want to reject the claim: Null Hypothesis (H0): The mean life of the refrigerators is less than 14 years. Alternative Hypothesis (Ha): The mean life of the refrigerators is equal to or more than 14 years.

From Solvely APP
Source: https://solvelyapp.com/problems/4OEldCZaXI/

Get free Solvely APP to solve your own problems!

solvely Solvely
Download