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. Here is the t-test applet. Click here to open the applet.What can we conclude? 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. 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. 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.

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...

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. Here is the t-test applet. Click here to open the applet.

What can we conclude?

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.

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.

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.

Jun 09, 2022

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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...

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