. Twenty five adult citizens of the U.S. were asked to estimate the average income of all U.S. households. The mean estimate was x-bar = $45,000 and s = $15,000. (Note: the actual average household income at the time of the study was about $68,000.)
Practice Quiz 10, November 29, 2016
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Please complete this quiz by Saturday, Nov.3, 9 p.m.
1. Twenty five adult citizens of the U.S. were asked to estimate the average income of all U.S. households. The mean estimate was x-bar = $45,000 and s = $15,000. (Note: the actual average household income at the time of the study was about $68,000.) Assume the 25 adults in the study can be considered an SRS from the population of all adult citizens. A 99% confidence interval for the mean estimate of the average income of all U.S. households is
(a) $38,808 to $51,192 (b)$36,609 to $53,391 (c) $39,867 to $50,133
Show your work:
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2. Using the regression output below
2.1 Interpret the regression coefficient on years of education. What can we say about the relationship between years of education and salary in this sample?
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2.2. Show how the t-statistics for years of education was calculated
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2.3Interpret the t-statistic foryears of education
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2.4. Based on the t-statistics, what can we say about the relationship between years of education and salary in this population of employees?
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2.5. Interpret the “Sig.” values for years of education. When does a Sig. value allow you to conclude that a relationship is statistically significant at the .05 level?
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2.6. Calculateand interpretthe 95% confidence interval for the regression coefficient on years of education
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2.7. Are your conclusions in 2.4 and 2.6 are consistent? If so, in what ways are they consistent?
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2.8.Interpret the regression coefficient on age. What can we say about the relationship between age and salary in this sample?
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2.9Based on the t-statistics, what can we say about the relationship between age and salary in this population of employees?
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type your answer here…
3. Using the contingency tables below
3.1. Briefly discuss the relationship between sex and attitudes towards death penalty for this sample of individuals.
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3.2. What are the null and alternative hypotheses?
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3.3. What do we know about the sampling distribution for X2*?
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3.4. Choose a significance level of .01. What does that mean?
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3.5. What is your decision rule? Why does that decision rule work?
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3.6. What conclusion do you draw? Are you confident in your conclusion? Why?
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4. Using the contingency tables below
4.1. Briefly discuss the relationship between the independent and dependent variable for this sample of individuals.
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4.2 What are the null and alternative hypotheses?
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4.3 Conduct a chi-squared test at the same (.01) significance level. What is your conclusion? Why?
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