Section 7.1, Exercise #50, p. 377 – consider each claim. If a hypothesis test is

Question

Section 7.1, Exercise #50, p. 377 – consider each claim. If a hypothesis test is performed, how should you interpret the decision that:

A - Rejects the null hypothesis

B - Fails to reject the null hypothesis

50. Writing Hypotheses: Internet Provider Refrigerator Manufacturer A refrigerator manufacturer claims that the mean life of its competitor’s refrigerator is less than 15 years. You are asked to perform a hypothesis test to test this claim. How would you write the null and alternative hypothesis if:

(a) You represent the manufacturer and want to support the claim

(b) You represent the competitor and want to reject the claim

Explanation / Answer

a) H0: mu>=15 years (mean life of competitor's refrigerator is at least 15 years)

H1: mu<15 years (mean life of competitor's refrigerator is less than 15 years)

b) H0: mu<15 years

H1:mu >=15 years

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