Question

# Scenario I: Your friend is an Applied Mathematics major and you believe that students who have...

1. Scenario I: Your friend is an Applied Mathematics major and you believe that students who have this major have lower social skills than other college students. You get a nationally normed social skills scale (m =15.00= sx = 7.00) and get 100 Applied Mathematics majors to complete it. You obtain the following, M = 13.24, SD = 6.35. Test whether Applied Mathematics majors have lower social skills than other adults.
1. What are the hypotheses for the study?
1. Ho :
2. Null hypothesis
3. Ha :
4. Alternative hypothesis
2. Calculate the following:

1. zobt
1. Should you reject or retain the null hypothesis? Is the test significant or not? Conclusion?

Scenario II:  A social psychologist believes women are better tippers than men.  Over the span of a few days, she observes male and female patron’s picking up lunch orders that cost between 20-25 dollars. She then records how much money each individual tips. The data is presented in Table 1 below. She wants to test her hypothesis that women leave larger tips than men.

Women Tips: M = 4.25, sx2 = 3.50, n = 15

Men Tips: M = 3.00, sx2 = 2.75, n = 15

1. What is the independent variable in this study? What is the treatment condition (or experimental group) and what is the control group?
2. What is the dependent variable in this study?
3. What is the Null Hypothesis for this study?
4. What is the Alternative Hypothesis for this study?
5. Calculate the degrees of freedom and the tcrit
6. What is the tobt value (use a separate sheet of paper if needed)?
7. What is your decision? Is the test significant or not significant? What is the conclusion?

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