Assume that females have pulse rates that are normally distributed with a mean of u= 75.0 beats per minute and a standard deviation of a = 12.5 beats per minute. Complete parts (a) through (c) below. a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 78 beats per minute. The probability is . (Round to four decimal places as needed.) b. If 16 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 78 beats per minute. The probability is. (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? O A. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size. B. Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution for any sample size. OC. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size. D. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size. O.

a. b. In a normal distribution, a = -2, z = 6. This tells you (right or left) of the mean. O A. left OB. right 67 U that x = -2 is standard deviations to the

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 living in parents' homes 70- 51.5% 41.2% 46.6% 44.3% 0- 2012 I Women 2000 Men Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: P1 #P2 Ha: P1 = P2 O B. Ho: P, P2 c. Họ: P1 = P2 Ha: P1 #P2 O D. Ho: P1 >P2 Ha: P1 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. (Round to two decimal places as needed.)

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.