Solve the problem. What do you conclude about the claim below? Do not use formal procedures or exact calculations. Use only the rare event rule and make a subjective estimate to determine whether then event is likely. Claim: An employee of a company is equally likely to take a sick day on any day of the week. Last year, the total number of sick days taken by all the employees of the company was 143. Of these, 52 were Mondays, 14 were Tuesdays, 17 were Wednesdays, 17 were Thursdays, and 43 were Fridays. Solution The rare event rule states that under a given assumption the probability of a certain observed event happening is very small, then the assumption is probably not true. Here if we assume that everyone is equally likely to take a sick day on any day of the week, the chances of 52 out 143 days being Monday and 43 being Friday are very small, so we conclude that that assumption is probably not true..

1. Solve the problem.
When performing a hypothesis test for the ratio of two population variances, the upper critical F
value is denoted FR. The lower critical F value, FL , can be found as follows: interchange the
degrees of freedom, and then take the reciprocal of the resulting F value found in table A-5. FR
can be denoted F?/2 and FL can be denoted F1-?/2.
Find the critical values FL and FR for a two-tailed hypothesis test based on the following
values:
n1 = 9, n2 = 7, ? = 0.05
a. 0.2411, 4.1468
b. 0.3931, 4.1468
c. 0.2150, 4.8232
d. 0.2150, 5.5996
Solution
c. 0.2150, 4.8232