The display below illustrates a normal distribution shown with z-scores on the horizontal axis. Which inequality marks the proportion of the display shaded in red? 0.45 0.4 0.35 0.3 0.25 0.2 0.15 0.1 0.05 0.5 1 1.5 2 2.5 3.5 4 -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 z> -0.5 z< 0.5 z<-0.5 -0.5 < z < 0.5 z > 0.5
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- 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…V3Statistics 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. XR1Q1Review(19a): The mean of a distribution is 35. The median is 30. The mode is 25. The distribution is (a) negatively skewed (b) positively skewed (c) symmetric (d) both b anc c (e) There is two little information given to determine the shape of the distribution.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: =Q6Español 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.Assignment work: The test scrores of a sample of 100 students have a symmetric mounded distribution with a mean score of 570 and SD of 70. Approximately what percent of scores are between : (a) 430 and 710, (b) 360 and 780.SEE MORE QUESTIONSRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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