T A 3) What impact does your major have: In a survey of college graduates, 52% reported that they entered a profession closely related to their college major. If 6 of those survey subjects are randomly selected without replacement for a follow-up survey, what is the probability that 4 of them entered a profession closely related to their college major? (10 points) 4) Energy Consumption: In one region, the September energy consumption levels for single-family homes are found to be normally distributed with a mean of 1050 KWh and a standard deviation of 218 kWh. For a randomly selected home, find the probability that the September energy consumption level is greater than 1225 kWh. (10 points) arch DELL O 53 0 F ~ - 0 0 6 - ( prtsc home end ins F9 F10 F11 F12 F3 F4 F6 F7 F8 K O 3 4 5 6 P W E R T Y U O D F G H K X C V B N M8) Is Milk Still Good for You: The daily intakes of milk (in ounces) for ten randomly selected people were: 23.3 28.4 10.5 16.4 26.4 18.1 20.4 17.3 27.4 13.2 Find a 99% confidence interval for the population standard deviation o. Assume that the population has a normal distribution. Round the confidence interval limits to one more decimal place than is used for the original set of data. (15 points) ( DELL O 53 0 F 1 0 0 E end 7- prtsc home F11 F12 DII F9 F10 F3 F4 F5 F6 F7 F8 K tA O 3 4 5 6 T Y U O E R D F G H K L1) Do People Still Buy Magazines: In a survey, 20 people were asked how many magazines they had purchased during the previous year. The results are shown below. Construct a histogram to represent the data. Use 5 classes with a class width of 8, and begin with a lower class limit of -0.5. Be sure to label both axes and title the graph (10 points) 6 15 3 36 25 18 12 18 5 30 24 7 0 22 33 24 19 4 12 9 O CO 2 0 530 F - 20 DII O- o'- prt sc home F10 F11 F7 F9 F3 F4 F5 F6 F8 K $ % A & 4 5 7 8 E R T Y U O2) Best Friends: When visiting a doctor for an annual exam, a patient's resting heart rate is quite high. The doctor recommends exercise as a way to reduce stress and improve resting heart rate. To help motivate themselves to exercise, the patient rescues a dog from a local animal shelter as an exercise buddy and then purchases a device to help record resting heart rate. The following data set represents 10 days of resting heart rates recorded after a period of inactivity in beats per minute: (61, 70, 71, 74, 69, 66, 72, 75, 76, 68} Use the data set to answer the following questions. Round solutions to two decimal places if necessary. a.) Find the mean of the data set. (3 points) b.) Find the median of the data set. (3 points) " ) Find the mode of the data cat (? nointo) DELL O 53 0 F 1 0 DE end 7- prt sc home F9 F10 F11 F3 F4 F5 - F6 E7 F8 K % A $ 5 6 7 8 3 4 R T U O E Y G H KChoose the response the best answers the question 9) Carter Motor Company claims that its new sedan, the Libra, will average better than 32 miles per gallon in the city. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is to reject the null hypothesis, state the conclusion in nontechnical terms. (8 Points) A) There is not sufficient evidence to support the claim that the mean is greater than 32 miles per gallon. B) There is sufficient evidence to support the claim that the mean is greater than 32 miles per gallon. C) There is sufficient evidence to support the claim that the mean is less than 32 miles per gallon. D) There is not sufficient evidence to support the claim that the mean is less than 32 miles per gallon. 53OF prt sc home end DII F9 F10 F11 F3 F4 F5 F6 F7 F8 & $ 6 2 O W 4 R T Y U O E G H Kc.) Find the mode of the data set. (2 points) d.) Find the standard deviation of the data set. (4 points) N O 53OF earch prtsc no F10 DII F8 F9 F2 F5 F6 F7 F3 F4 K A 7 3 4 5 W E R T Y7) Pumpkins: A random sample of 50 pumpkins is obtained and the mean circumference is found to be 40.5 cm. Assuming that the population standard deviation is known to be 2.6 cm, use a 0.05 significance level to test the claim that the mean circumference of all pumpkins is equal to 39.9 cm. If the assumptions necessary to conduct this test are not met, complete the test but indicate which assumption was not met and why this may be a problem. (15 points) O 53OF prt sc home end F12 F8 F9 F10 F11 F7 F3 F4 F6 # $ % & K 7 9 3 4 5 6 T Y U O E R F G H KAT T 5) Let it snow! The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 109 inches, and a standard deviation of 10 inches. What is the probability that the mean annual precipitation during 25 randomly picked years will be less than 111.8 inches? (10 points) 6) Health Insurance: Of 212 adults selected randomly from one town, 187 have health insurance. Find a 95% confidence interval for the true proportion of all adults in the town who have health insurance. (10 points) O 53OF prt sc home end DII F9 F11 F12 J") ) F10 F3 F4 F6 F7 K A $ & 9 3 4 6 O E R T Y U D F G H K