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- The college physical education department offered an advanced first aid course last summer. The scores on the comprehensive final exam were normally distributed, and the z-scores for some of the students are shown below. Robert 1.24 Juan 1.66 Haley −1.84 Joel 0.00 Jan −0.84 Linda 1.68 Which of these students scored above the mean? (Select all that apply.) Which of these students scored on the mean? (Select all that apply.) Which of these students scored below the mean? (Select all that apply.) If the mean score was μ = 140 with standard deviation σ = 15, what was the final exam score for each student?omework Assessment A Dashboard + ent/showtest.php The average final exam score for the statistics course is 76%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is different. The final exam scores for the 12 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 70, 60, 54, 59, 73, 87, 52, 86, 56, 75, 52, 73 What can be concluded at the the a=0.10 level of significance level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ?v ?v H1: ? ?v c. The test statistic ?v= (please show your answer to 3 decimal places.) d. The p-value : (Please show your answer to 4 decimal places.) e. The p-value is ? a f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the population mean is not significantly…Mitchell is getting ready to take a baseball rules exam in order to becomne certified as a baseball umnpire in his local community. Past scores on the rules exam form a normal distribution with u = 80 and o = 6. Mitchell must score in the highest 25% of the distribution in order to become a certified umpire. Which minimum score does Mitchell need to obtain on the rules exam to become a certified umpire? OX= 76 O X- 84 OX= 86 OX-81
- Statistics students believe that the mean score on a first statistics test is 65. The instructor thinks that the mean score is higher. She samples 10 statistics students and obtains the scores: Grades 73.5 63.9 64.3 85.5 62.7 69 88 63.9 65 64.3 Test grades are believed to be normally distributed.Use a significance level of 5%.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. XR1Q1A class of students took a test. The instructor said that the 75th percentile score was 90 out of 100. What does this mean? A. 90% of the students scored 75 or more on the test. B. 75% of the students scored 90 or more on the test. C. 25% of the students scored 90 or more on the test. D. The high score in the class was (.75)(90).Pag 73°F Partly sunny A nationwide job recruiting firm wants to compare the annual incomes for childcare workers in Texas and Indiana. Due to recent trends in the childcare industry, the firm suspects that the mean annual income of childcare workers in Texas is less than the mean annual income of childcare workers in Indiana. To see if this is true, the firm selected a random sample of 10 childcare workers from Texas and an independent random sample of 10 childcare workers from Indiana and asked them to report their mean annual income. The data obtained were as follows. Annual income in dollars Texas 35102, 40287, 32854, 29080, 36394, 22024, 22493, 31602, 27434, 40040 Indiana 38446, 33018, 38027, 43504, 37962, 33838, 35730, 36793, 37714, 25715 HD 144Hz Send data to calculator V The population standard deviation for the annual incomes of childcare workers in Texas and in Indiana are estimated as 6200 and 6500, respectively. It is also known that both populations are approximately…Macmillan Learning An extensive study in Antarctica concluded that the mean height of adult emperor penguins in the wild is 44.5 in. Cassandra believes that captive emperor penguins have a greater mean height due to better nutrition. To test this idea, she decides to conduct a one-sample t-test to see if the mean height of captive emperor penguins is greater than 44.5 in. She selects a simple random sample of 26 penguins from different zoos around the country and has each penguin measured. The summary statistics of the sample are given below. Sample size n = 26 Sample mean x = 45.6 in Sample standard deviation s = 4.3 in The heights of emperor penguins are normally distributed, and there are no outliers in the sample. Construct the null and alternative hypothesis for the appropriate one-sample t-test for the mean height of captive emperor penguins. Ho: H₁: =Sample grade point averages for ten male students and ten female students are listed. Find the coefficient of variation for each of the two data sets. Then compare the results. Males 2.3 3.8 3.9 3.7 2.6 2.4 3.6 3.2 3.9 1.8 Females 2.7 3.6 2.2 3.9 3.7 4.2 1.9 3.9 3.6 2.1 ... The coefficient of variation for males is %. (Round to one decimal place as needed.) The coefficient of variation for females is %. (Round to one decimal place as needed.) Compare the variability of grade point averages of males and females. Choose the correct answer below. O A. The grade point averages of females and males have the same variation. O B. The grade point averages of males are more variable than females. O C. The grade point averages of females and males do not vary. O D. The grade point averages of females are more variable than males.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.) OSEE 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. 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