Answer: 97
Step-by-step explanation:
The formula to find the sample size:-
[tex]n=(\dfrac{z^*\cdot \sigma}{E})^2[/tex] , where [tex]\sigma[/tex] = prior standard deviation., z^*= Critical value corresponds to the confidence level and E is margin of error .
Given : A psychologist estimates the standard deviation of a driver's reaction time to be 0.05 seconds.
i.e. [tex]\sigma=0.05[/tex]
E= 0.01
Critical value for 95% confidence interval = 1.96
Then, the required sample size will be
[tex]n=(\dfrac{1.96\times0.05}{0.01})^2\\\\n=(1.96\times5)^2\\\\ n=9.8^2=96.04\approx97[/tex] [Round to the nest integer.]
Hence, the required minimum sample size = 97
