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

Population mean = = 400

Sample mean = = 423

Sample standard deviation = s = 84

Sample size = n = 51

Degrees of freedom = df = n - 1 = 51 - 1 = 50

This is a two tailed test.

The null and alternative hypothesis is,

Ho: 400

Ha: 400

The test statistics,

t = ( - )/ (s/)

=( 423 - 400 ) / ( 84 / 51)

= 1.955

p-value = 0.0561