11. The mean age of policyholders at World Life Insurance Company,…

Question Answered step-by-step 11. The mean age of policyholders at World Life Insurance Company,… 11. The mean age of policyholders at World Life Insurance Company, determined two years ago, was found to equal 32.5 years and the standard deviation was found to equal 5.5 years. It is reasonable to believe that the mean age has increased. However, some of the older policyholders are now deceased and some younger policyholders have been added. The company determines the ages of 50 current policyholders in order to decide whether the mean age has changed. If p represents the current mean of all policyholders, the null and research hypothesis are stated as: A. : p ≠ 32.5 and 1: p = 32.5 B. : p > 32.5 and 1:: p = 32.5 C. : p = 32.5 and 1:: p > 32.5 D. : p = 32.5 and 1:: p ≠ 32.5 12. The police department in a large city claims that the mean 911 response time for domestic disturbance calls is 10 minutes. A “watchdog group” believes that the mean response time is greater than 10 minutes. If p represents the mean response time for all such calls, the null and research hypothesis are: A. : p = 10 and 1: p > 10 B. : p ≠ 15 and 1: p = 15 C. : p > 15 and 1: p = 15 D. : p = 15 and 1: p ≠ 15 13. The mean number of sick days used per year nationally is reported to be 5.5 days. A study is undertaken to determine if the mean number of sick days used for nonunion members in Kansas differs from the national mean. Give the null and alternative hypothesis for this scenario. A. : p ≠ 5.5 and 1: p = 5.5 B. : p = 5.5 and 1: p ≠ 5.5 C. : p = 5.5 and 1: p > 5.5 D. : p > 5.5 and 1: p = 5.5 14. A pharmaceutical company claims that its weight loss drug allows women to lose 8.5lb after one month of treatment. If we want to conduct an experiment to determine if the patients are losing less weight than advertised, which of the following hypotheses should be used? A. : μ = 8.5; 1: μ = 8.5 B. : μ = 8.5; 1: μ > 8.5 C. : μ ≠ 8.5; 1 μ = 8.5 D. : μ = 8.5; 1: μ < 8.5 15. Paul's housemate Miranda is trying to convince Paul to get a piercing. Paul is very sensitive to popular opinion, however, and will only get one if "everyone else is doing it". Of course, everyone is unrealistic, so Paul will settle on getting the piercing if Miranda can show that more than 60% of people at Harvard have one. Miranda wastes no time in taking a sample of 60 people from Adam's House and performing the appropriate hypothesis test. Her sample revealed 44 people who admitted to having a piercing. State the null and alternative hypothesis. A. : p = 44 and 1: p > 44 B. : p = 0.6 and 1: p > 0.6 C. : p = 60 and 1: p > 60 D. : p = 44 and 1: p > 60 16. A manufacturer of a certain brand of rice cereal claims that the average saturated fat content does not exceed 1.5 grams per serving. State the null and alternative hypotheses to be used in testing this claim. A. : u > 1.5 and 1: u = 1.5 B. : u = 1.5 and 1: u < 1.5 C. : u = 1.5 and 1: u > 1.5 D. : u < 1.5 and 1: u = 1.5 17. A real estate agent claims that 60% of all private residences being built today are 3-bedroom homes. To test this claim, a large sample of new residences is inspected; the proportion of these homes with 3 bedrooms is recorded and used as the test statistic. State the null and alternative hypotheses to be used in this test. A. : p > 0.6 and 1: p = 0.6 B. : p ≠ 0.6 and 1: p = 0.6 C. : p = 0.6 and 1: p > 0.6 D. : p = 0.6 and 1: p ≠ 0.6 18. In an experiment on extrasensory perception (ESP), an individual (subject) in one room is asked to state the color (red or blue) of a card chosen from a deck of 50 well-shuffled cards by an individual in another room. It is unknown to the subject how many red or blue cards are in the deck. State the corresponding alternative hypothesis in this scenario. A. p ≠ 0.5 B. p < 0.5 C. p > 0.5 D. p = 0.5 19. In an experiment on extrasensory perception (ESP), an individual (subject) in one room is asked to state the color (red or blue) of a card chosen from a deck of 50 well-shuffled cards by an individual in another room. It is unknown to the subject how many red or blue cards are in the deck. State the corresponding null hypothesis in this scenario. A. p ≠ 0.5 B. p < 0.5 C. p > 0.5 D. p = 0.5 20. A manufacturer of a certain brand of rice cereal claims that the average saturated fat content does not exceed 2.0 grams per serving. State the null and alternative hypotheses to be used in testing this claim. A. : u > 1.5 and 1: u = 1.5 B. : u < 2.0 and 1: u = 2.0 C. : u = 1.5 and 1: u < 1.5 D. : u = 2.0 and 1: u > 2.0 Math Statistics and Probability Share QuestionEmailCopy link Comments (0)