The test scores for the analytical writing section of a particular standardized test can be approximated by a nomal distribution, as shown in the figure. (a) What is the maximum score that can be in the bottom 20% of scores? (b) Between what two values does the middle 60% of scores lie? H=3.5 oF0.77 3.5 6. (a) The maximum score that can be in the bottom 20% is (Round to two decimal places as needed.) (b) The middle 60% of scores lies between on the low end and on the high end. (Round to two decimal places as needed.)

Statistics Question

Three-circle, red-on-white is one distinctive pattern painted on ceramic vessels of the Anasazi period found at an archaeological site. At one excavation, a sample of 179 potsherds indicated that 62 were of the three-circle, red-on-white pattern. (a) Find a point estimate p̂ for the proportion of all ceramic potsherds at this site that are of the three-circle, red-on-white pattern. (Round your answer to four decimal places.)

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When a woman thinks she may be pregnant, she often uses an over-the-counter pregnancy test to confirm or deny if she is pregnant. The two-way table below represents the results of one brand of pregnancy test on 500 women, some of whom are pregnant and some are not. Round percentage answers to the nearest tenth of a percent to answer the following two questions. Negative Test Result Positive Test Result (a) What is the sensitivity for this test? % Pregnant 66 131 (b) What is the specificity for this test? % Add Work Check Answer Not Pregnant 239 64

A foundation conducted a survey of physicians' attitude about health care reform, calling the report "a survey of 100,000 physicians." The survey was sent to 100,000 randomly selected physicians practicing in the United States: 38,000 via post-office mail and 62,000 via email. A total of 2,474 completed surveys were received. What is the rate of nonresponse for this survey? (Round your answer to two decimal places.)

A survey was conducted to determine whether hours of sleep per night are independent of age. A sample of individuals was asked to indicate the number of hours of sleep per night with categorical options: fewer than 6 hours, 6 to 6.9 hours, 7 to 7.9 hours, and 8 hours or more. Later in the survey, the individuals were asked to indicate their age with categorical options: age 39 or younger and age 40 or older. Sample data follow. Age Group Hours of Sleep 39 or younger 40 or older Fewer than 6 40 38 6 to 6.9 60 57 7 to 7.9 75 73 8 or more 65 92 (a) Conduct a test of independence to determine whether hours of sleep are independent of age. State the null and alternative hypotheses. Ho: Hours of sleep per night is not independent of age. : Hours of sleep per night is independent of age. Ha Ho: : The proportion of people who get 8 or more hours of sleep per night is not equal across the two age groups. Ha: : The proportion of people who get 8 or more hours of sleep per night is equal across…

(c) What percentage of standardized test scores is greater than 725​? ​(Round to one decimal place as​ needed.)

(c)  About ___% won't approve of marriage equality. (Round to the nearest percent as needed.)

part (B)