Question

Suppose you are testing the hypothesis that the population mean is more than 70 mm for some critical measurement. You have taken a sample of size n = 17. The population variance is unknown, and the test statistic is computed to be t0 = 1.337. The p-value is ________________. Express your answer to two decimal places using conventional rounding g

Answer 1

0.100

Explanation:

Given that you are testing the hypothesis that the population mean is more than 70 mm for some critical measurement.

i.e.
`H_0: \bar x =17\\H_a: \bar x >17`

(Right tailed test)

n = sample size = 17

Since population variance is known but sample size is small t test is used

Test statistic = 1.337

df = 17-1 =16

p value=0.099961

i.e. p value = 0.100