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Match the following problem scenarios (research questions) and statistical tests

ID: 3224028 • 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). [3 points each]

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

Is there a relationship between socioeconomic status (low, middle, high) and the person’s favorite sport (football, basketball, baseball, or wrestling)?

Based on a survey of 200 ATU students, have more than half of ATU students attended an ATU intercollegiate athletic event in the past year?

Is there a linear relationship between job satisfaction (measured on a 100-point scale) and productivity?

Employee satisfaction is measured on seven-point Likert scale (strongly disagree…. strongly agree) before and after the implementation of a new production system? Does employee satisfaction improve?

Based on a random sample of 1000 websites, is the average number of advertisements on a web page greater than three?

Is there a relationship between whether or not a person supports the proposed bailout for auto companies and their political affiliation (democrat, republican, independent)?

Is the percentage of websites with a popup advertisement higher for .com websites than for .edu websites?

Is the average time it takes a website to load higher for .com websites than for .edu websites?

Does the type of lighting (bright, medium, soft) affect learning (as measured on a 20-item quiz)?

After taking the ACT the first time, 25 students attend an ACT review course. Do average scores improve after attending the review course?

In their first job after college, do business majors obtain higher starting salaries than history majors?

Is there a linear relationship between the price of gasoline and the number of times a college student travels more than 20 miles from campus over the course of a semester?

Do more than half of business graduates accept a job before they graduate?

Are business majors more likely than history majors to have accepted a job before graduation?

Is the average number of slides on a PowerPoint presentation (for the research projects in BUAD 2053) greater than 10?

Is there a difference in average time it takes to read a passage for three different fonts (Calibri, Comic Sans MS, or Times New Roman)

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

Is there a relationship between socioeconomic status (low, middle, high) and the person’s favorite sport (football, basketball, baseball, or wrestling)?

Answer:

Chi-square test

Based on a survey of 200 ATU students, have more than half of ATU students attended an ATU intercollegiate athletic event in the past year?

Answer:

1-sample proportion z-test

Is there a linear relationship between job satisfaction (measured on a 100-point scale) and productivity?

Answer:

Simple linear regression

Employee satisfaction is measured on seven-point Likert scale (strongly disagree…. strongly agree) before and after the implementation of a new production system? Does employee satisfaction improve?

Answer:

Matched paired t-test

Based on a random sample of 1000 websites, is the average number of advertisements on a web page greater than three?

Answer:

1-sample t-test(but not matched pairs)

Is there a relationship between whether or not a person supports the proposed bailout for auto companies and their political affiliation (democrat, republican, independent)?

Answer:

Chi-square test

Is the percentage of websites with a popup advertisement higher for .com websites than for .edu websites?

Answer:

2-sample proportions z-test

Is the average time it takes a website to load higher for .com websites than for .edu websites?

Answer:

2-sample t-test

Does the type of lighting (bright, medium, soft) affect learning (as measured on a 20-item quiz)?

Answer:

ANOVA(one-way)

After taking the ACT the first time, 25 students attend an ACT review course. Do average scores improve after attending the review course?

Answer:

Matched pairs t-test

In their first job after college, do business majors obtain higher starting salaries than history majors?

Answer:

2-sample t-test

Is there a linear relationship between the price of gasoline and the number of times a college student travels more than 20 miles from campus over the course of a semester?

Answer:

Simple linear regression

Do more than half of business graduates accept a job before they graduate?

Answer:

1-sample proportion z-test

Are business majors more likely than history majors to have accepted a job before graduation?

Answer:

2-sample proportions z-test

Is the average number of slides on a PowerPoint presentation (for the research projects in BUAD 2053) greater than 10?

Answer:

1-sample t-test(but not matched pairs)

Is there a difference in average time it takes to read a passage for three different fonts (Calibri, Comic Sans MS, or Times New Roman)

Answer:

ANOVA(one-Way)

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