In a study of distances traveled by buses before the first major engine failure, a sample of 191 buses results in a mean of 96,700 km. The population standard deviation is known to be 37,500 km.
-The null and alternative hypotheses to test the claim that the mean distance traveled before a major engine failure is more than 90,000 km is _____.

Question

In a study of distances traveled by buses before the first major engine failure, a sample of 191 buses results in a mean of 96,700 km. The population standard deviation is known to be 37,500 km. -The null and alternative hypotheses to test the claim that the mean distance traveled before a major engine failure is more than 90,000 km is _____. A)H_O: μ = 90,000 vs.H_A: μ ≠ 90,000 B)H_O: μ ≥ 90,000 vs.H_A: μ < 90,000 C)H_O: μ ≥ 96,700 vs.H_A: μ < 96,700 D)H_O: μ ≠ 90,000 vs.H_A: μ = 90,000 E)H_O: μ ≤ 90,000 vs.H_A: μ > 90,000

Quizplus · Accepted Answer

The correct hypotheses to test the claim that the mean distance traveled before a major engine failure is more than 90,000 km are: Null hypothesis (H0): μ ≤ 90,000 (the mean distance is less than or equal to 90,000 km) and Alternative hypothesis (H1): μ > 90,000 (the mean distance is more than 90,000 km). This setup correctly positions the claim in the alternative hypothesis for a one-tailed test to the right.

In a Study of Distances Traveled by Buses Before the First