Gethuman. com claims that the average wait time for Amazon’s Live Chat customer service option is 5 minutes (source: gethuman.com). In a sample of 100 random attempts to engage Live Chat, you find that the average wait time was 5 minutes and 30 seconds.
a. Using 5 minutes as your null hypothesis, calculate the p value for the sample result. Assume the population standard deviation is 3.4 minutes.
b. For a significance level of .05, can we reject the null hypothesis that the average wait time is no more than 5 minutes? For a significance level of .01? Explain your answers.
c. What is the minimum significance level at which the sample result here would be considered statistically significant?