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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?

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Answer:

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

Step-by-step explanation:

Follows are the null and alternative Hypothesis:

Null Hypothesis [tex]H_0: \mu = 2.68[/tex]

Alternative Hypothesis[tex]H_a: \mu < 2.68[/tex]

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