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.

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