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please solve part 2 Exam Score z Score 88.0 96.0 75.0 91.0 84.0 Probability Lowe

ID: 3353880 • Letter: P

Question

please solve part 2

Exam Score z Score 88.0 96.0 75.0 91.0 84.0 Probability Lower Probability Same or Higher 2. Explain the difference between a two-sample dependent and independent t-test. Provide an example of a situation in which you would use each test (.5 points). PART I For each situation below, indicate the appropriate test of significance (.5 points each) 1. You are comparing whether a junior high anti-drug program has an effect on the rates of drug use in junior high students such that students completing the anti-drug program will have lower rates of drug usage. You random sample 100 seventh grade students before they enter the program and after they complete the program. Which test do we use to see if the difference in our sample is statistically significant? Why? Should it be one or two- tailed? 2. A random sample of 80 Tempe city employees average 13.1 years of education. A random sample of 75 Mesa city employees average 13.3 years of education. Which test should we use to determine whether the difference between Mesa and Tempe is statistically significant? Why? Should it be one or two-tailed? 3. The city manager af Tempe has received a complaint from the local union of firefighters that they are underpaid compared to other firefighters in the nation. From a random sample of 27 Tempe firefighters, the city manager finds the average salary is $38,073 with a standard deviation of $575. The national average firefighter salary is $38,202. Which test should we

Explanation / Answer

Part II

(1) We use a paired sample t-test here.
A paired t-test is used to compare two population means where we have two samples in which observations in one sample can be paired with observations in the other sample and we need to analyze the difference between these paired observations.
It should be a one-tailed test.

(2) We use a 2 independent sample t-test here.
A 2 independent sample t-test is generally used to compare the difference in means of two different populations from which a sample each has been drawn.
It should be a two-tailed test.

(3) We use a 1 sample t-test here.
A 1 sample t-test is used to test whether the observed mean value differs from the defined mean value in the population. Also, it is used in place of 1 sample Z test when the population standard deviation is unknown to us.
It should be a one-tailed test.