Question

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Multi part question set

If you can’t finish all of it, that’s ok!

Would really appreciate any and all help as soon as possible

Thank you so much in advance!

Thank you!! Diversity - 1, MULTIPLE CHOICE There are 14 questions in this set. As you proceed through these questions, use necessary information in the previous questions. Recent research shows that diversity is correlated with profitability ("The Business Case for More Diversity", Wall Street Journal, Oct 26, 2019). This problem uses results of that research but makes additional assumptions about sampling and sample values. See the answer key for details. In a sample of 31 firms with the highest diversity ranking, the mean operating profit margin was 12 percentage points, and the standard deviation was 1.4 percentage points. In a sample of 21 firms with the lowest diversity ranking, the mean operating profit margin was 8 percentage points, and the standard deviation was 1.1 percentage points. Assume that operating profit margins were approximately normally distributed in the population of firms with the highest diversity ranking ("high-diversity firms”), and in the population of firms with the lowest diversity ranking ("low-diversity firms”). Assume that the variance of operating profit margins is the same in these two populations, although the value of the common variance is unknown. Assume the samples were independent random samples. Let's begin by testing the null hypothesis that the mean operating profit margin of high-diversity firms is the same as the mean operating profit margin of low-diversity firms, against the alternative hypothesis that the means are different, using a 5% significance level. In the previous questions of this set, we assumed that the variances of the populations of high-diversity firms and low-diversity firms were the same. The remaining questions in this set are about that assumption. We begin by using the rejection region approach to test the null hypothesis that the variance of the operating profit margin in the population of high-diversity firms equals the variance of the operating profit margin in the population of low-diversity firms, against the alternative hypothesis that the variances of these populations are different, using a 10% significance level. The test statistic is

Answer 1

1. ONE

2. THREE

3. 1.93

4. 0.49

5. THREE

6. 0.79

7. 3.1