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. H 0 : µ = 400 H a : µ > 400 The p -value for the hypothesis test is . Your answer should be rounded to 4 decimal places.

Answer 1

Solution :

Given that,

H₀ :   = 400

H_a : >  400

= 400

= 423

s = 84

n = 51

The test statistic t is,

t = ( -  ) /  (s /   n)

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

t = ( 23 *  51 / 84 )

t = ( 23 *51 ) / 84

t = 1.95

Test  statistic   = 1.95

p value = 0.0281

Right tailed test