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.
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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