For a sample of 40 teachers, what is the probability that the sample mean is greater than $37,253? Assume that the sample is taken from a large population and the correction factor can be ignored. P(X > 37,253) =

Refer to the figure at the right. At a =0.10, can you reject the claim that the proportion of 18 to 24-year-olds living in their parents' homes in 2000 was the same for men and women? Assume the survey included a random sample of 248 men and 244 women. Percentage of 18- to 24-year olds iving in parents' homes 7051.5% 41.2% 46.6% 44.3% 2000 2012 I Men I Women Identify the null and alternative hypotheses. Choose the correct answer below. O B. Ho: P1 P2 O D. Ho: P, > P2 Cc. Họ: P1 = P2 Ha: P, SP2 H3: P, *P2 Find the critical value(s). The critical value(s) is(are) +1.65. (Round to two decimal places as needed. Use a comma to separate answers as needed.) Find the standardized test statistic. z= 2.29 (Round to two decimal places as needed.) Can you reject the claim that the proportion of 18 to 24-year-olds living in their parents' homes was the same for men and women in 2000? Yes , at the 10% significance level, there is sufficient evidence to support the claim.

c. Find the 95th percentile. (Round to three decimal places as needed.)

You want to know the percentage of utility companies that earned revenue greater than 94 million dollars. If the mean revenue was 60 million dollars and the data has a standard deviation of 15 million, find the percentage. Assume that the distribution is normal. Round your answer to the nearest hundredth.