Question

A sports statistician claims that the mean winning times for Boston Marathon women's open division champions is 2.68 hours. A sample of 20 randomly is selected Boston Marathon women's open division champions reported a mean winning time of 2.6 hours. Based on the previous records, the standard deviation is 0.32 hour. At 5% level of significance, do you have enough evidence to show that the winning time is different than the claim?

Answer 1

Please find the complete question and its solution in the below section.

Explanation:

Follows are the null and alternative Hypothesis:

Null Hypothesis
`H_0: \mu = 2.68`

Alternative Hypothesis
`H_a: \mu < 2.68`