Question

You are testing the following hypothesis: H0: m = 72 HA: m ≠ 72 Your sample size if n = 36 and your sample standard deviation is equal to 12. If your sample mean is equal to 69.2, the appropriate conclusion would be to reject the null hypothesis at a significance level of... Select one:

Select one:

a. 0.10

b. 0.05

c. 0.02

d. 0.01

e. None of the above.

Answer 1

Solution,

The null and alternative hypothesis is ,

H0 :   = 72

Ha :    72

= 69.2

s = 12

n = 36

Test statistic = t =

= ( - ) / s / n

= (69.2 - 72) / 12 / 36

Test statistic = t = -1.40

degrees of freedom = n - 1 = 36 - 1 = 35

P( t < -1.40)

= 0.0852

This is the two tailed test

P-value = 2 * P( t < -1.40)

P-value = 2 * 0.0852

P-value = 0.1704

all significance level less than P-value.

correct option is = e