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 :
[tex]P(z>1.47)=1-P(z\leq1.47)\ \ [\because P(Z>z)=1-P(Z\leq z)][/tex]
[tex]=1-0.9292=0.0708[/tex]
[Using the p-value table for z]
Hence, the required P-value = 0.0708
