-------> In the table below, data on serum-cholestrol levels of 24 hospital empl

Question

------->  In the table below, data on serum-cholestrol levels of 24 hospital employees before and after they adopted a vegetarian diet were provided: 1) Provide a 95% CI for the effect of adopting the diet. 2) Select all correct statements related to the question AND briefly explain why the selected answer is correct.

C) The reason we use standard error instead of standard deviation is because we are using sampling distribution.

D) It is OK to use standard deviation instead of standard error in calculating CI

A) The reason we use because serum-cholesterol can only decrease in the study (i.e., it is one-tail)

B) The value could be found in the table from the back of the text book.

C) The reason we use standard error instead of standard deviation is because we are using sampling distribution.

D) It is OK to use standard deviation instead of standard error in calculating CI

Explanation / Answer

here std error of mean =std deviation/(n)1/2 =16.8/(24)1/2 =3.4293

for above 95% CI and (n-1=23) degree of freedom critical value of t =2.0687

therefore 95% CI of effect of adopting the diet = sample mean -/+ t*std error =19.5 -/+ 2.0687*3.4293

=12.406 to 26.594

from above given option B and C seems appropriate,

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