sports statistician claims that the mean winning time for Boston Marathon women’s open division champions is greater than 2.68 hours.

INSTRUCTIONS TO CANDIDATES

ANSWER ALL QUESTIONS

Confidence Interval for a Mean 

1)  In a random sample of 50 people, the mean body mass index was 27.7 and the standard deviation was 6.12. Construct a 95% confidence interval for the population mean. 

Confidence Interval for a Proportion 

2)  In a survey of 2096 U.S. adults, 1740 think football teams of all levels should require players who suffer a head injury to take a set amount of time off from playing to recover. Construct a 95% confidence interval for the population proportion that believes this. 

Hypothesis Test for a Mean 

3)  A sports statistician claims that the mean winning time for Boston Marathon women’s open division champions is greater than 2.68 hours. The mean winning time of a sample of 30 randomly selected Boston Marathon women’s open division champions is 2.70 hours with a standard deviation of 0.32 hours. At a = 0.05 what can be concluded?

 Hypothesis Test for a Proportion 

4)  A researcher claims that 85% of Americans think they are unlikely to contract the Zika virus. In a random sample of 250 Americans, 225 think they are unlikely to contract the Zika virus. At a = 0.05, is there enough evidence to support this claim?

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