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EconHM11(complete)

# EconHM11(complete) - Question#1 Your fraternity roommate...

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Question #1

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Your fraternity roommate claims that males are smarter than females. To back up his claim, he used the information on average exam scores of the male students (population 1) and female students (population 2) collected from the Econ 203 course that he took last semester. The statistics are presented in the following Excel output: Hypothesized Difference 0 Level of Significance 0.05 Population 1 Sample Sample Size 148 Sample Mean 132.5 Sample Standard Deviation 40.3 Population 2 Sample Sample Size 98 Sample Mean 126.8 Sample Standard Deviation 30.4 Intermediate Calculations Population 1 Sample Degrees of Freedom 147 Population 2 Sample Degrees of Freedom 97 Total Degrees of Freedom 244 Pooled Variance 1345.839 Difference in Sample Means 5.7 t-Test Statistic 1.193039 Upper-Tail Test Upper Critical Value 1.651124 p-Value 0.117006 1. To test your roommate's claim, what should be your null and alternative hypotheses? (Hint: The are two correct ways to state the null hypothesis, and one correct way to state the alternative hypothesis that should be selected.) o H 0 : The average score of male students and female students are the same. o H 0 : The average score of male students and female students are not the same. o H 0 : The average score of male students is higher than female students. o H 0 : The average score of male students is lower than female students. o H 0 : The average score of male students is no higher than female students. o H 0 : The average score of male students is no lower than female students. o H 1 : The average score of male students and female students are the same.
o H 1 : The average score of male students and female students are not the same. o H 1 : The average score of male students is higher than female students. o H 1 : The average score of male students is lower than female students. o H 1 : The average scores of male students is no higher than female students. o H 1 : The average scores of male students is no lower than female students. 2. 3. What type of test is used here? o paired sample t test for the mean difference o z test for the difference in means o chi-square test for single population variance. o F test for the difference in means o pooled-variance t test for the difference in means o chi-square test for the difference in means. o F test for the difference in variances. o chi-square test for the difference in variances. o z test for difference in proportions. 4. 5. Use a 7% level of significance, what should be your decision and conclusion? o Do not reject the null hypothesis. o Reject the null hypothesis. o There is sufficient evidence to conclude that average score of male students is higher than that of female students. o There is insufficient evidence to conclude that average score of male students is higher than that of female students. o There is sufficient evidence to conclude that average score of male students is lower than that of female students.

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