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) 1.47

Answer 1

Answer: 0.0708

Step-by-step explanation:

Let μ denote the true average reaction time to a certain stimulus.

To determine : The P-value for a z test of H0: μ = 5 versus Ha: μ > 5.

In the given set of hypothesis , the alternative hypothesis is right -tailed , so the test is a right tailed test .

Given test statistic : a) z= 1.47

Now, the p-value for the right tailed test :

$P(z>1.47)=1-P(z\leq1.47)\ \ [\because P(Z>z)=1-P(Z\leq z)]$

$=1-0.9292=0.0708$

[Using the p-value table for z]

Hence, the required P-value = 0.0708