Question: For questions 1-4, you will be provided with a t -value, the number of degrees of freedom, alpha, and whether the test is one- or
For questions 1-4, you will be provided with at-value, the number of degrees of freedom, alpha, and whether the test is one- or two-tailed. You will then be asked to establish the criticalt-value and state your decision regarding the null hypothesis.
- t= 1.45,df= 12, alpha = .05, two-tailed
- critical value oft= Decision =
- (2 points)
- t= 2.90,df= 22, alpha = .01, two-tailed
- critical value oft= Decision =
- (2 points)
- t= 2.60,df= 17, alpha = .05, one-tailed
- critical value oft= Decision =
- (2 points)
- t= 1.70,df= 13, alpha = .05, one-tailed
- critical value oft= Decision =
- (2 points)
- A professor hypothesizes that students who earn a C or better in her class spend more time outside of class studying than students who receive a D or F. She collects the following data from two samples of students. What does she conclude?
- Number of hours studying per week for C or better students: 8, 4, 4, 2, 1, 5, 3, 2, 3
- Number of hours studying per week for D or F students: 6, 2, 1, 0, 3, 2, 1
- Null hypothesis:
- Alternative hypothesis:
- Statistical test (be specific!):
- Significance level: alpha = .05
- degrees of freedom:
- Critical region (t-value):
- Calculatedt(show your work):
- Decision:
- (7 points)
- A researcher decides to analyze the effects of nutrition on personality. He collects 7 pairs of identical twins and randomly assigns one twin from each pair to a controlled diet condition. The twins assigned to the other condition are allowed to eat whatever they please. The following are scores on a standardized personality inventory:
- Personality inventory scores for twins in controlled diet condition: 10, 9, 4, 3, 8, 6, 7
- Personality inventory scores for twins in eat-what-you-want condition: 16, 11, 9, 4, 5, 9, 12
- NOTE: The order of the scores is important here. The first score in the controlled diet condition (10) should be paired with the first score from the other condition (16), etc.
- Hint: This is a two-tailed test.
- Null hypothesis:
- Alternative hypothesis:
- Statistical test (be specific!):
- Significance level: alpha = .01
- degrees of freedom:
- Critical region (t-value):
- Calculatedt:
- Decision:
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