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Unformatted text preview: Question #1 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 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 tTest Statistic 1.193039 UpperTail Test Upper Critical Value 1.651124 pValue 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 : The average score of male students and female students are the same. o H : The average score of male students and female students are not the same. o H : The average score of male students is higher than female students. o H : The average score of male students is lower than female students. o H : The average score of male students is no higher than female students. o H : 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 F test for the difference in variances. o z test for the difference in means o chisquare test for the difference in variances. o chisquare test for single population variance. o chisquare test for the difference in means. o z test for difference in proportions. o pooledvariance t test for the difference in means o F test for the difference in means o paired sample t test for the mean difference 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....
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This note was uploaded on 02/11/2010 for the course ECON 203 taught by Professor Petry during the Spring '09 term at University of Illinois, Urbana Champaign.
 Spring '09
 PETRY

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