Question

Blood glucose levels for obese patients have a mean of 100 with a standard deviation of 15. A researcher thinks that a diet high in raw cornstarch will have a either a positive or a negative effect on blood glucose levels (i.e., patients’ blood glucose levels will not be 100). A sample of 29 patients who have tried the raw cornstarch diet has a mean glucose level of 105.52.

Test the hypothesis that the raw cornstarch diet affected the glucose levels of the patients with a level of significance of 0.05

Answer 1

Solution :

This is the two tailed test.

The null and alternative hypothesis is ,

H0 :   = 100

Ha : 100

Test statistic (t) =

= ( - ) / s / n

= (105.52 - 100) / 15 / 29

Test statistic = 1.98

P-value = 0.0574

= 0.05

P-value >

Fail to reject the null hypothesis .

There is no sufficient evidence to support the claim.