Question

Find the p-value for the hypothesis test. A random sample of size 51 is taken. The sample has a mean of 423 and a standard deviation of 84.

H0: µ = 400

Ha: µ > 400

The p-value for the hypothesis test is .

Your answer should be rounded to 4 decimal places.

Answer 1

This is the right tailed test .

The null and alternative hypothesis is ,

H₀ :  $\mu$ =400

H_a : $\mu$ >400

Test statistic = z

= ($\bar x$ - $\mu$ ) / $\sigma$ / $\sqrt$ n

= (423 -400) / 84 / $\sqrt$ 51

= 2.04

P-value = 0.0207