Match the following problem scenarios (research questions) and statistical tests
ID: 3223964 • Letter: M
Question
Match the following problem scenarios (research questions) and statistical tests. Record your responses in the left margin next to the number for each question. Also, if either response C or response E is appropriate, credit will only be given for that response (even though another response, like F or G, might also be technically correct).
1-Sample t-test (but not matched pairs)
Matched Pairs t-test
2-sample t-test
1-Sample proportion z-test
2-sample proportion z-test
Chi-Square test,
ANOVA (One Way)
Simple linear regression
A telephone company claims that 20% of its customers have at least two telephone lines.
A local brewery distributes beer in bottles labeled 32 ounces. A government agency thinks that the brewery is cheating its customers (that the average is less than 32). Can we conclude that that the brewery is cheating its customers?
As part of a marketing experiment, a department store mailed discount coupons to 25 of its credit card holders. Their total credit card purchases over the next three months (when the coupons were made available) were compared to their (the same 25 customers) prior credit card purchases during the previous three months. Did the average credit card purchase go up (higher after the coupons than before)?
As part of a marketing experiment, a department store regularly mailed discount coupons to 25 of its credit card holders. Their total credit card purchases over the next three months were compared to the credit card purchases over the next three months for 25 credit card holders who were not sent discount coupons. Is there a difference in the average spent by customers who received coupons and customers who did not receive coupons?
Is there a linear relationship between job satisfaction (measured on a 100-point scale) and productivity?
Is the average time it takes a website to load higher for .com websites than for .edu websites?
After taking the ACT the first time, 25 students attend an ACT review course. Do average scores improve after attending the review course?
Is there a linear relationship between the level of happiness people who have money in the stock market and the Dow Jones average?
Is the average time that students sleep per night different for different college majors in the College of Business (Accounting, Economics & Finance, and Management & Marketing)?
Is the percentage of college graduates regularly read the newspaper higher than the percentage of non-college graduates who regularly read the newspaper?
Does interdepartmental cooperation (100 point scale) improve after (as compared to before) the company conducts a company-wide training program that stresses the need for interdepartmental cooperation?
Is the percentage of people who say they are happy higher this week (After all, the stock market was up by about 600 points in the past two days.) than it was last week (note: The people who participated in the survey in this week are not the same people who participated last week.)?
1-Sample t-test (but not matched pairs)
Matched Pairs t-test
2-sample t-test
1-Sample proportion z-test
2-sample proportion z-test
Chi-Square test,
ANOVA (One Way)
Simple linear regression
Explanation / Answer
A telephone company claims that 20% of its customers have at least two telephone lines.
1-Sample proportion z-test
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A local brewery distributes beer in bottles labeled 32 ounces. A government agency thinks that the brewery is cheating its customers (that the average is less than 32). Can we conclude that that the brewery is cheating its customers?
1-Sample t-test (but not matched pairs)
-----------------------
As part of a marketing experiment, a department store mailed discount coupons to 25 of its credit card holders. Their total credit card purchases over the next three months (when the coupons were made available) were compared to their (the same 25 customers) prior credit card purchases during the previous three months. Did the average credit card purchase go up (higher after the coupons than before)?
Matched Pairs t-test
---------------------
As part of a marketing experiment, a department store regularly mailed discount coupons to 25 of its credit card holders. Their total credit card purchases over the next three months were compared to the credit card purchases over the next three months for 25 credit card holders who were not sent discount coupons. Is there a difference in the average spent by customers who received coupons and customers who did not receive coupons?
2-sample t-test
------------------------
Is there a linear relationship between job satisfaction (measured on a 100-point scale) and productivity?
Simple linear regression
----------------
Is the average time it takes a website to load higher for .com websites than for .edu websites?
2-sample t-test
---------------------
After taking the ACT the first time, 25 students attend an ACT review course. Do average scores improve after attending the review course?
Matched Pairs t-test
------------------------
Is there a linear relationship between the level of happiness people who have money in the stock market and the Dow Jones average?
Simple linear regression
-----------------------
Is the average time that students sleep per night different for different college majors in the College of Business (Accounting, Economics & Finance, and Management & Marketing)?
ANOVA (One Way)
-------------------
Is the percentage of college graduates regularly read the newspaper higher than the percentage of non-college graduates who regularly read the newspaper?
2-sample proportion z-test
-------------------
Is the percentage of people who say they are happy higher this week (After all, the stock market was up by about 600 points in the past two days.) than it was last week (note: The people who participated in the survey in this week are not the same people who participated last week.)?
2-sample proportion z-test
Does interdepartmental cooperation (100 point scale) improve after (as compared to before) the company conducts a company-wide training program that stresses the need for interdepartmental cooperation?
Matched Pairs t-test
-------------------
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