Question

Use the standard normal distribution or the​ t-distribution to construct a 95% confidence interval for the...

Use the standard normal distribution or the​ t-distribution to construct a

95%

confidence interval for the population mean. Justify your decision. If neither distribution can be​ used, explain why. Interpret the results. In a random sample of

fortyone

​people, the mean body mass index​ (BMI) was

27.7

and the standard deviation was

6.24

Which distribution should be used to construct the confidence​ interval? Choose the correct answer below.

(Use a t-distribution because the sample is random n>=30, and o is unknown is correct answer for that.

Select the correct choice below​ and, if​ necessary, fill in any answer boxes to complete your choice.

Correct option is A. the 95% confidence interval is (_______,_______).

(Round to 2 decimal places if needed)

not sure what the confidence interval is and need help figuring that out.

Interpret the results. Choose the correct answer below.

A. it can be said 95% of people have a BMI between the bounds of the confidence interval.

B. if a large sample of people are taken approximately 95% of them will have a BMI between the bounds of the confidence interval.

C. with 95% confidence, it can be said that the population mean BMI is between the bounds of the confidence interval

D. neither distribution can be used to construct the confidence interval

?

#34

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