A student in an introductory statistics course investigated if there is evidence that the proportion of milk chocolate M&M's that aregreen differs from the proportion of dark chocolate M&M's that are green. She purchased a bag of each variety, and her data aresummarized in the following table.GreenNot GreenMilk Chocolate 8Dark Chocolate 4Total12Reference: 4-3333871Total414283Describe how you would generate a single randomization sample in this situation, and identify (using the appropriate notation) thesample statistic you would record for each sample.

Given that: Green Not Green Total Milk Chocolate 8 33 41 Dark Chocolate 4 38 42 Total 12…

Answered: A student in an introductory statistics…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The Interpersonal Reactivity Index is a survey designed to assess four different types of empathy. One type of empathy, called Empathetic Concern, measures the tendency to feel sympathy and compassion for people who are less fortunate. The index ranges from 0 (less empathetic) to 28 (more empathetic). The following data, representing random samples of 8 males and 8 females, are consistent with results reported in psychological studies. Boxplots show that it is reasonable to assume that the populations are approximately normal and have equal variances. Males 13 20 14 16 13 26 21 23 Females 22 20 26 25 28 24 16 19 Can you conclude that there is a difference in mean empathy score between men and women? Use a=0.03. (1) Critical Values (Round off to 3 decimal places): (2) Test Statistic (Round off to 2 decimal places): (3) Conclusion: (Type 'Reject HO' or 'Fail to Reject HO')
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Julius has conducted a very small study of the amount of sleep his dorm mates get each night. He believes that those who are on one of the school’s sports teams will get more sleep (measured in hours per night) than those who are not. Julius surveyed 12 people. Of these, 6 played on a sports team and 6 did not. The descriptive statistics from his survey are given below. PLAYS SPORTS (Sample 1) DOES NOT PLAY SPORTS (Sample 2) 8 6 9 6 8 5 7 7 8 7 7 6 What is the critical value for this test? what is the t-obtain value for this t-test? Based on your t-obtained value, what should you conclude about the null hypothesis for this test?
A sociologist studying New York City ethnic groups wants to determine if there is a difference in income for immigrants from four different countries during their first year in the city. She obtained the data in the following table from a random sample of immigrants from these countries (incomes in thousands of dollars). Use a 0.05 level of significance to test the claim that there is no difference in the earnings of immigrants from the four different countries. Country I Country II Country III Country IV 12.3 8.3 20.4 17.3 9.1 17.2 16.5 8.7 10.9 19.2 22.8 14.2 8.8 10.2 5.5 21.4 16.1 19.2 19.3 (b) Find SSTOT, SSBET, and SSW and check that SSTOT = SSBET + SSW. (Round your answers to three decimal places.) SSTOT = SSBET = SSW = Find d.f.BET, d.f.W, MSBET, and MSW. (Round your answer to three decimal places for MSBET and MSW.) dfBET = dfW = MSBET = MSW = Find the value of the sample F statistic. (Round your answer to three decimal…
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The Analysis of Variance. A research study compared beer consumed daily between 3 groups with 3 observations each. Group1 was UCB, Group 2 UCSD, and Group 3 UCI. Determine if there is a significant difference among the groups 5% level. Group1: UCB Group 2: UCSD Group 3: UCI The Results of this study are in the following table: Group1 Group2 Group3 Sample 3, 4, 5 3.2, 4, 4.2 3, 4, 3.3 Mean 4.0 3.7 3.4 S^2 4.4 5.2 6.1 null and alternative hypotheses are Null hypothesis Ho : There is a significant difference among the treatment group means Alternative Hypothesis Ha : At least one group mean is different from other group means the average mean due to treatments are…
Are America's top chief executive officers (CEOs) really worth all that money? One way to answer this question is to look at row B, the annual company percentage increase in revenue, versus row A, the CEO's annual percentage salary increase in that same company. Suppose that a random sample of companies yielded the following data: B: Percent for company 5 8 13 16 14 20 4 13 A: Percent for CEO 2 –1 3 14 19 17 3 9 Do these data indicate that the population mean percentage increase in corporate revenue (row B) is different from the population mean percentage increase in CEO salary? Use a 1% level of significance. Are the data statistically significant at level α? Will you reject or fail to reject the null hypothesis? choose one: a) Since the interval containing the P-values has values that are smaller than the level of significance, the data are statistically significant and so we reject the null hypothesis. b) Since the interval containing…

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