Question

Find the p-value for the hypothesis test. A random sample of size 53 is taken. The sample has a mean of 424 and a standard deviation of 83.

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

Solution

The null and alternative hypothesis is ,

H0 :   =400

Ha : > 400

right tail

Test statistic = z

= ( - ) / / n

= (424-400) / 83/ 53

Test statistic = 2.11

P(z >2.11 ) = 1 - P(z <2.11 ) = 1-0.9826=0.0174

P-value = 0.0174