Medical researchers conducted a national random sample of the body mass index (BMI) of 654 women...

Medical researchers conducted a national random sample of the body mass index (BMI) of 654 women aged 20 to 29 in the U.S. The distribution of BMI is known to be right skewed. In this sample the mean BMI is 26.8 with a standard deviation of 7.42. Are researchers able to conclude that the mean BMI in the U.S. is less than 27?

Conduct a hypothesis test at the 5% level of significance using StatCrunch (directions) or calculating T and using the T-Distribution Calculator above.

Based on your hypothesis test, what can we conclude?

Group of answer choices

a) With a mean BMI of 26.8, the data supports the claim that the average BMI is less than 27, but the difference is not statistically significant. We fail to reject the null hypothesis that the mean BMI for women aged 20 to 29 in U.S. is 27.

b) With a mean BMI of 26.8, the data supports the claim that the average BMI is less than 27. We reject the null hypothesis that the mean BMI for women aged 20 to 29 in U.S. is 27.

c) Nothing. The distribution of the variable in the population is right skewed, so the conditions for use of a t-model are not met. We cannot trust that the p-value is accurate for this reason.

Expert Solution

orchestra answered 2 years ago

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