3) Historically, people at your company averaged 10.8 sick days per year with a standard deviation of 6.2 days. You have instituted a new wellness plan for your employees and you want to know if it has made a difference in the number of sick days per year. You take a sample of 100 employees and find that their average number of sick days in the first year after the wellness plan was implemented was 11.7 days. Is this result statistically significant at a 95% confidence level?

a) State your hypotheses.

b) Find the critical value for the test statistic.

c) Calculate the test statistic.

d) What is the p-value for your result? Interpret this result in context?

e) Do you reject or fail to reject the null hypothesis? State your answer in context.