Question

In a test of hypothesis to determine if a population mean on the length of a part was equal to 4 inches (H0 ) or was less than 4 inches (H1), the test statistic was computed to be 2.998 from a sample of n = 8. The variance was unknown. Determine the p-value to two decimal places.

Answer 1

Answer: 0.99

Explanation:

As per given , we have

`H_0: \mu=4\\\\H_1: \mu<4` , since the alternative hypothesis is left-tailed , so the test is a left-tailed test.

The test statistic was computed to be 2.998.

Also, the variance was unknown, so we use t-test.

For n= 8 , degree of freedom : df= n-1=7

P-value for left -tail test with df=7 and test statistic value t=2.998 : 0.99000069 ≈ 0.99 [Using online p-value calculator]

Hence, the required p-value : 0.99