An independent t-test is conducted to determine whether there is a difference in

Question

An independent t-test is conducted to determine whether there is a difference in the number of calories consumed during winter months compared to summer months. A sample of 15 individuals consumed an average of 1500 calories during the winter months. A separate independent sample of 15 individuals consumed an average of 1200 calories during the summer months. The standard error for the independent t-test was 1.28. Compute the 95% confidence interval for the difference between the number of calories consumed for winter and summer months.

What is tcrit?

What is the upper limit?

What is the lower limit?

Format the answer.

Interpret.

Explanation / Answer

tcrit = 2.048

CI = (x1 -x2) +/- t * SE
= ( 1500 -1200) +/- 2.048 * 1.28
= (297.37856 ,302.62144)
Upper limit = 302.62144

lower limit = 297.37856

95% confident that difference between the number of calories consumed for winter and summer months are between 297.37856 and 302.62144

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