Question

blood glucose level for obese patient population have a mean of 100 with a standard deviation of 15. a researcher thinks that a diet high in cornstarch will have a positive or negative effect on blood glocose level. a sample of 30 patients who have tried the new cornstarch diet have a mean glocose level of 140. test the hypothesis that the new cornstarch had an effect.

Answer 1

H0: mu = 100
Ha: mu not = 100

xbar = 140
sigma = 15
n = 30

Test statistic,
z = (xbar - mu)/(sigma/sqrt(n))
z = (140 - 100)/(15/sqrt(30))
z = 14.61

p-value = 0.0000
As p-value < significance level (0.05), reject H0
There is sufficient evidence to conclude that the mean glucose level is affected by the new cornstarch.