Question

Body Mass Index (BMI), a measure of obesity, was measured in a random sample of 90 adults. The sample mean BMI was 27.7 kg/m² and the sample standard deviation was 4.9 kg/m². a) Calculate the standard error of the mean for the above study: b) What is the appropriate multiplier to use when calculating the 95% confidence interval for the population mean BMI? c) Calculate a 95% confidence interval for the population mean ? : (i) The lower limit of the confidence interval is: (ii) The upper limit of the confidence interval is: d) Based on the confidence interval above the appropriate conclusion would be: We are 95% confident that the true mean BMI lies within the interval calculated above. We can be 90% confident that the interval calculated above contains the true mean BMI. The interval calculated above will contain the sample mean 95% of the time. As the above limits are close we cannot reach any conclusion regarding the true mean BMI. 95% of the BMIs lie within the interval above.

          Body Mass Index (BMI), a measure of obesity, was measured in a random sample of 90 adults. The sample mean BMI was 27.7 kg/m² and the sample standard deviation was 4.9 kg/m².
a) Calculate the standard error of the mean for the above study:
b) What is the appropriate multiplier to use when calculating the 95% confidence interval for the population mean BMI?
c) Calculate a 95% confidence interval for the population mean ? :
(i) The lower limit of the confidence interval is:
(ii) The upper limit of the confidence interval is:
d) Based on the confidence interval above the appropriate conclusion would be:
We are 95% confident that the true mean BMI lies within the interval calculated above.
We can be 90% confident that the interval calculated above contains the true mean BMI.
The interval calculated above will contain the sample mean 95% of the time.
As the above limits are close we cannot reach any conclusion regarding the true mean BMI.
95% of the BMIs lie within the interval above.

Body Mass Index (BMI), a measure of obesity, was measured in a random sample of 90 adults. The sample mean BMI was 27.7 kg/m² and the sample standard deviation was 4.9 kg/m².
a) Calculate the standard error of the mean for the above study:
b) What is the appropriate multiplier to use when calculating the 95% confidence interval for the population mean BMI?
c) Calculate a 95% confidence interval for the population mean ? :
(i) The lower limit of the confidence interval is:
(ii) The upper limit of the confidence interval is:
d) Based on the confidence interval above the appropriate conclusion would be:
We are 95% confident that the true mean BMI lies within the interval calculated above.
We can be 90% confident that the interval calculated above contains the true mean BMI.
The interval calculated above will contain the sample mean 95% of the time.
As the above limits are close we cannot reach any conclusion regarding the true mean BMI.
95% of the BMIs lie within the interval above.

Added by Tasha H.

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