For each research scenario below, indicate: which hypothesis test (z-score test, one-sample t-test, chi square goodness of fit test, chi square test for independence) should be used to analyze the data obtained Explain what characteristics of the data and/or research scenario informed your choice of analysis
For each research scenario below, indicate:
- which hypothesis test (z-score test, one-sample t-test, chi square goodness of fit test, chi square test for independence) should be used to analyze the data obtained
- Explain what characteristics of the data and/or research scenario informed your choice of analysis
1. Every year the Toronto Maple Leaf’s coach surveys a sample of the team’s players to determine how satisfied they were with the season’s performance. The average satisfaction with performance for NHL players overall is µ = 15. Coach received 15 responses from his team this year, yielding M = 20, s = 1.25. Coach wants to know if his team rated their satisfaction with performance differently than the overall population of NHL players.
2. Data from the Motor Vehicle Department indicate that 65% of all licensed drivers are older than age 25. Information on the age of n = 50 people who recently received speeding tickets was sourced by a group of researchers interested in if the age distribution of individuals who get speeding tickets differs from the age distribution of licensed drivers. In the sample, 17 people were 25 or younger and 33 were older than 25.
3. A course instructor wanted to know if there was a relationship between being a psychology major and comfort level in statistics. She surveyed her class and recorded students’ program of study (psychology, not psychology) and their self-reported level of comfort with statistics (comfortable, not comfortable).
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For each research scenario below, indicate:
- which hypothesis test (z-score test, one-sample t-test, chi square goodness of fit test, chi square test for independence) should be used to analyze the data obtained
- Explain what characteristics of the data and/or research scenario informed your choice of analysis
a) An instructor wanted to know if completing weekly quizzes improved her students’ grades compared to the grades of students in other sections who did not complete weekly quizzes. The average final grade for all other sections of the course was µ = 73.4. The average final grade for the instructor’s course of 150 students was M = 3, s = 8.40.
b) An educational policy analyst wants to know if the MCAT is biased against lower SES students applying to medical school. The population mean for the MCAT in 2021 was 536, with a standard deviation of 102. A sample of 100 students taking the MCAT whose family income was less than $20,000 had an ERW score of 480.
c) A grocer wants to know if their customers prefer organic or regular produce. They record the total number of units sold for each type of produce (organic, regular) over the month of June.
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