The test scores for the analytical writing section of a particular standardized test can be approximated by a normal distribution, as shown in the figure. H3.7 (a) What is the maximum score that can be in the bottom 5% of scores? (b) Between what two values does the middle 90% of scores lie? o=0.77 3.7 Score 1.4 (a) The maximum score that can be in the bottom 5% is (Round to two decimal places as needed.) (b) The middle 90% of scores lies between (Round to two decimal places as needed.) on the low end and on the high end.
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- What is the mode for the population of scores presented in the frequency distribution table below? X f 5 1 4 4 3 3 2 4 1 2Among freshmen at a certain university, scores on the Math SAT followed the normal curve, with an average of 550 and an SD of 100. The SAT score of a student whose score is at the 75th percentile is closest to what value? 665 590 690 620Among freshmen at a certain university, scores on the Math SAT followed the normal curve, with an average of 550 and an SD of 100. The SAT score of a student whose score is at the 99th percentile is closest to what value? Group of answer choices 780 400 760 805
- A survey was conducted two years ago asking college students their top motivations for using a credit card. You think this distribution has changed. You randomly select 425 college students and ask each one what the top motivation is for using a credit card. Can you conclude that there has been a change in the distribution? Use a = 0.025. Complete parts (a) through (d). Response Old Survey % 29% New Survey Frequency, f Rewards 110 Low rates Cash back Discounts 23% 96 21% 109 7% 46 Other 20% 64 O B. The distribution of motivations is 110 rewards, 96 low rate, 109 cash back, 46 discounts, and 64 other. O C. The distribution of motivations is 29% rewards, 23% low rate, 21% cash back, 7% discounts, and 20% other. Which hypothesis is the claim? o Ho (b) Determine the critical value, Yo, and the rejection region. X = 11.143 (Round to three decimal places as needed.) Choose the correct rejection region below. Oc. XCalculate the average (mean) of the data shown, to two decimal places x 17 8.1 16.3 1.8 15.7 28.4 3.1You wish to determine which of two brands of TVs is more expensive. You conduct the following sample, which suggests that Orion TVs are more expensive: Orion: ā = $318, sª = 12.6, п — 30 Luna: ā = $313, 8z = 15.1, n = 25 Define your variable: O Let p be the proprotion Orion TVs in the sample that cost more than Luna TVs. OLet u be the mean price of TVs, in dollars Let mu the mean price of Orion TVs, in dollars. Let u be the mean price of sampled TVs, in dollars. Write your hypotheses: Be sure to chose Group 1 to have the larger sample mean. Но: Opi – P2 = 0 O pi – P2 = 318 – 313 Ο μ-μ 5 µi - µ2 = 0 HA: Hi – µ2 > 0 O ui – u2 < 0 µi – µ2 = 5 Opi - - P2 = 318 – 313Claim: The proportion of children who play sports is less than 55%. Sample statistics include n = 1,320 subjects with 33% saying that they play a sport. Find the value of the test statistic. Round your answer to two decimal places, if needed.Español A decade-old study found that the proportion, p, of high school seniors who believed that "getting rich" was an important personal goal was 80%. A researcher decides to test whether or not that percentage still stands. He finds that, among the 240 high school seniors in his random sample, 185 believe that "getting rich" is an important goal. Can he conclude, at the 0.10 level of significance, that the proportion has indeed changed? Perform a two-tailed test. Then complete the parts below. SEE Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) 00 (a) State the null hypothesis H, and the alternative hypothesis H,. H, :0 H :0 (b) Determine the type of test statistic to use. O=0 OSO O20 (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) OWhich z-score has the higher frequency? (a) z = +1.0 or z = +2.3; (b) z = −2.8 or z = −1.7; (c) z = −.70 or z = −.20; (d) z = 0.0 or z = −2.0.SEE MORE QUESTIONSRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C…StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage LearningElementary Statistics: Picturing the World (7th E…StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. FreemanMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C…StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage LearningElementary Statistics: Picturing the World (7th E…StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman