Econ 203 Hmwk 10

# Econ 203 Hmwk 10 - 1 To test your roommate's claim what...

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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. 1. What type of test is used here? o paired sample t test for the mean difference o F test for the difference in means o z 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 pooled-variance t test for the difference in means o z test for difference in proportions. o chi-square test for single population variance. 2. 3. 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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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. o There is insufficient evidence to conclude that average score of male students is lower than that of female students. o There is sufficient evidence to conclude that average score of male students is different from that of female students. o There is insufficient evidence to conclude that average score of male students is different from than that of female students. Question #2 Females on average spend more on clothing and apparel than males. You want to find out whether more females spend at least 1/3 of their income on clothing and apparel than males do. Which of the following tests can you use? z test for the difference in means
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## This note was uploaded on 07/23/2010 for the course ECON 203 taught by Professor Petry during the Spring '08 term at University of Illinois at Urbana–Champaign.

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Econ 203 Hmwk 10 - 1 To test your roommate's claim what...

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