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Question 1 Choose from the following to answer Questions: 1 sample Z-test of μ 1 sample...

Question 1

Choose from the following to answer Questions:

1 sample Z-test of μ

1 sample T-test of μ

1 sample Z-test of p

1 sample T-test of p

2 sample Z-test of p

2 sample T-test for μ1-μ2 independent

2 sample Z-test for μ1-μ2 independent

2 sample T-test for μ1-μ2 matched pairs

2 sample T-test for p1-p2

Chi-squared test of independence

Chi-squared Goodness of fit test

Regression test for the slope

ANOVA test for multiple means

A) A Polisci major wants to know if the salary of a Democrat is comparable to the salary of a Republican. He thinks the distribution of salaries should be normal, so he asks 31 people from each group what their salary is.

B) An undeclared major thinks that freshmen just pick majors randomly. He samples 1000 freshmen and finds they chose between 150 different majors. He tests whether there is any particular major that is getting more than its share of freshmen.

C) A Statistics major thinks that the Z-test for a proportion is less accurate than the T-test for a mean. He simulates data to perform 110 Z-tests of a proportion and 230 T-tests for a mean. He records how often the tests are wrong. He wants a 95% Confidence Interval.

D) A statistician knows the standard Gumbel distribution looks very different than the normal distribution, but he thinks it has an expected value of zero. Since he does not have a Gumbel table he decides to get 200 random draws from this distribution to test if that is true.

E)  An engineer believes the distribution of ground shift on rocky soil is normal, and the distribution of ground shift on sandy soil is normal. He wonders if they will have different means. He tests 3 random locations for rocky soil and 3 random locations for sandy soil.

F) A college professor wants to claim that class attendance is related to your final grade. He teaches 250 students and he assumes the assumptions he needs for his test are met.

G)  Among 40 subjects on the Weight Matchers diet, the mean weight loss was 3.0 lb with s=4.9 lb. Among 40 subjects on the Alkins diet, the mean weight loss was 2.1 lb with s=4.8 lb. Test if the diets have a different mean weight loss.

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Expert Solution

Question 1

Choose from the following to answer Questions:

1 sample Z-test of μ

1 sample T-test of μ

1 sample Z-test of p

1 sample T-test of p

2 sample Z-test of p

2 sample T-test for μ1-μ2 independent

2 sample Z-test for μ1-μ2 independent

2 sample T-test for μ1-μ2 matched pairs

2 sample T-test for p1-p2

Chi-squared test of independence

Chi-squared Goodness of fit test

Regression test for the slope

ANOVA test for multiple means

A) A Polisci major wants to know if the salary of a Democrat is comparable to the salary of a Republican. He thinks the distribution of salaries should be normal, so he asks 31 people from each group what their salary is.

2 sample T-test for μ1-μ2 independent

B) An undeclared major thinks that freshmen just pick majors randomly. He samples 1000 freshmen and finds they chose between 150 different majors. He tests whether there is any particular major that is getting more than its share of freshmen.

Chi-squared Goodness of fit test

C) A Statistics major thinks that the Z-test for a proportion is less accurate than the T-test for a mean. He simulates data to perform 110 Z-tests of a proportion and 230 T-tests for a mean. He records how often the tests are wrong. He wants a 95% Confidence Interval.

2 sample T-test for p1-p2

D) A statistician knows the standard Gumbel distribution looks very different than the normal distribution, but he thinks it has an expected value of zero. Since he does not have a Gumbel table he decides to get 200 random draws from this distribution to test if that is true.

1 sample T-test of μ

E)  An engineer believes the distribution of ground shift on rocky soil is normal, and the distribution of ground shift on sandy soil is normal. He wonders if they will have different means. He tests 3 random locations for rocky soil and 3 random locations for sandy soil.

2 sample T-test for μ1-μ2 independent

F) A college professor wants to claim that class attendance is related to your final grade. He teaches 250 students and he assumes the assumptions he needs for his test are met.

Regression test for the slope

G)  Among 40 subjects on the Weight Matchers diet, the mean weight loss was 3.0 lb with s=4.9 lb. Among 40 subjects on the Alkins diet, the mean weight loss was 2.1 lb with s=4.8 lb. Test if the diets have a different mean weight loss.

2 sample T-test for μ1-μ2 independent


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