Question

Let μ denote the true average reaction time to a certain stimulus. For a z test of H0: μ = 5 versus Ha: μ > 5, determine the P-value for each of the following values of the z test statistic. (Round your answers to four decimal places.)

a) 1.46
b) 0.97
c) 1.96
d) 2.41
c) −0.17

Answer 1

P value = 0.0721

P value = 0.1660

P value = 0.0250

P value = 0.0080

P value = 0.5675

Explanation:

given data

μ = 5 versus Ha: μ > 5

solution

as set of hypothesis we do the alternative hypothesis is right tailed

so here test is a right tailed test

use z test statistic table

a) P value = P(z > 1.46)

P value = 0.0721

and

b) P value = P(z > 0.97)

P value = 0.1660

and

c) P value = P(z > 1.96)

P value = 0.0250

and

d) P value = P(z > 2.41)

P value = 0.0080

and

e) P value = P(z > -0.17)

P value = 0.5675