You receive a brochure from a large university. The brochure indicates that the mean class size for full-time faculty is fewer than 31 students. You want to test this claim. You randomly select 18 classes taught by full-time faculty and determine the class size of each. The results are shown in the table below. At a= 0.05, can you support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 32 25 30 36 29 40 25 22 260 25 33 37 35 27 27 33 29 23 (a) Write the claim mathematically and identify Ho and Ha. Which of the following correctly states Ho and H,? O C. Ho: H<31 H u231 O A. Ho: H= 31 B. Ho: H2 31 H3: µ<31 Ha: u<31 O D. Ho: H> 31 Ha us31 O E. Ho: us31 H3 u> 31 OF. Ho: H=31 H u#31 (b) Use technology to find the P-value. This P = (Round to three decimal places as needed.)

Heights of adult males are normally distributed. If a large sample of heights of adult males is randomly selected and the heights are illustrated in a histogram, what is the shape of that histogram? Choose the correct answer below. O Bell-shaped Longer tail to the right Longer tail to the left Uniform O 0 o o

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 270 men and 278 women. Percentage of 18- to 24-year olds living in parents' homes 70,60.4% 54.6% 50.3% 45% 2000 2012 I Men IWomen Identify the null and alternative hypotheses. Choose the correct answer below. O B. Ho: P1 + P2 A. Ho: P1= P2 Hg: P1 P2 H: P1 =P2 OD. Ho: P,> P2 OC. Ho: P1 P2 Hg: P, SP2 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= 3.61 (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? . at the 10% significance level, there is v evidence to v the claim.

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? AsSsume the survey included a random sample of 248 men and 244 women. Percentage of 18- to 24-year olds living in parents' homes 70,. 51.5% 41.2% 46.6% 44.3% 2000 2012 O Men Women Identify the null and alternative hypotheses. Choose the correct answer below. O A. H,: P, +P2 Ha: P1 = P2 O B. Ho: P, P2 c. Họ: P1 = P2 O D. Ho: P1 > P2 Ha: P, SP2 Ha: P1 #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? V, at the 10% significance level, there is evidence to the claim.