Question

A 95% CI for a population mean is 30±3.22.

(a) Can you reject the null hypothesis that μ=24 at the 5% level? (Type: YES or NO or CANNOT TELL):

(b) Can you reject the null hypothesis that μ=31 at the 5% level? (Type: YES or NO or CANNOT TELL):

(c) In general, you reject the null hypothesis if μ is the confidence interval. (Type: IN or NOT IN)

Answer 1

We reject H0 if is not in the confidence interval.

Given confidence interval is 30 3.22

That is 30 - 3.22 to 30 + 3.22

= 26.78 to 33.22

a)

Since = 24 is not in the confidence interval, yes, we reject H0.

b)

Since = 31 is in the confidence interval, No, we can not reject H0.

c)

You reject the null hypothesis if is NOT IN the confidence interval.