Question

Consider the following hypothesis test.

H₀: μ ≤ 12

H_a: μ > 12

A sample of 25 provided a sample mean

x = 14

and a sample standard deviation

s = 4.67.

A. Compute the value of the test statistic. (Round your answer to three decimal places.)

B. What is the rejection rule using the critical value? (If the test is one-tailed, enter NONE for the unused tail. Round your answer to three decimal places.)

test statistic≤test statistic≥

Answer 1

Solution :

= 12

=14

S =4.67

n = 25

This is the right tailed test .

The null and alternative hypothesis is ,

H0 :    ≤ 12

Ha : > 12

Test statistic = t

= ( - ) / S / n

= (12 - 14) / 4.67 / 25

= 2.141

Test statistic = t = 2.141

P-value =0.0213

It is observed that t=2.141 > tc ​=1.711, it is then concluded that the null hypothesis is rejected