In: Statistics and Probability
Question 1 1 pts
A psychology professor conducts a small study to see if humor in text would affect students' memory for the sentences in the text. She had two groups of students read a large set of sentences, one group read humorous sentences while the other group read similar sentences without obvious humor in them. After the reading phase, both groups were tested for their memory of the sentences read.
Identify the dependent variable and the independent variable in this research topic.
Group of answer choices
DV- Memory of sentences; IV- Presence/absence of humor
DV- Presence/absence of humor; IV- Sentences
DV- Presence/absence of humor; IV- Memory of sentences
DV- Sentences; IV- Presence/absence of humor
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Question 2 1 pts
Suppose that the psychology professor predicts that humor will enhance memory for sentences and she would like to conduct a one-tailed hypothesis test to answer the research question. What would be the null hypothesis to be tested?
Group of answer choices
Memory for sentences is not significantly enhanced by the presence of humor in the sentences.
Memory for sentences is significantly enhanced by the presence of humor in the sentences.
Memory for sentences is significantly different depending on whether humor is present in the sentences.
Memory for sentences is not significantly different depending on whether humor is present in the sentences.
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Question 3 0.5 pts
The number of sentences remembered by the two groups of students are recorded below. Calculate the mean score for Group 1.
Group 1: Humor | Group 2: No humor |
6 | 6 |
5 | 3 |
4 | 5 |
4 | 3 |
6 | 3 |
7 | 4 |
6 | 2 |
6 | 6 |
3 | 4 |
5 | 3 |
4 | 4 |
3 | 4 |
5 | 5 |
3 | 2 |
7 | 6 |
6 | 4 |
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Question 4 0.5 pts
Now calculate the mean for Group 2.
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Question 5 1 pts
Because we have two separate groups of data points, we need to know the degree of freedom for each group (sample) and the total degree of freedom in order to conduct the independent-samples t test. Calculate the total degree of freedom.
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Question 6 1 pts
Because the independent-samples t test assumes equal variances between the two populations being compared, we need to come up with one common standard deviation, called "pooled variance". Pooled variance is a weighted average of the two separate population variances estimated from the two separate samples. Calculate the pooled variance. (Show the answer to 2 decimal places)
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Question 7 1 pts
To conduct the independent-samples t test, we need to position the difference between the sample means on a sampling distribution of mean differences. The standard deviation of this sampling distribution (called standard error) is calculated from the pooled standard deviation. Calculate the standard error. (Round the answer to 2 decimal places)
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Question 8 1 pts
Now we have all the components in the formula for the t statistic. Calculate the t statistic for this test. (Round the answer to 2 decimal places)
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Question 9 1 pts
To know if the hypothesis test is significant or not, we need to identify the critical t value(s) to compare to the calculated t statistic. Identify the critical t value(s) for the one-tailed test, based on α = .05 and the total degree of freedom (df).
Group of answer choices
1.698
1.698, -1.698
2.043
2.043, -2.043
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Question 10 1 pts
What is the hypothesis test result based on the comparison of the t statistic and the critical t value?
Group of answer choices
Reject the null hypothesis because the calculated t statistic is more extreme than 1.698.
Reject the null hypothesis because the calculated t statistic is less extreme than 1.698.
Fail to reject the null hypothesis because the calculated t statistic is more extreme than 1.698.
Fail to reject the null hypothesis because the calculated t statistic is less extreme than 1.698.
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Question 11 1 pts
Based on the hypothesis test result, which of the following is the answer to the research question?
Group of answer choices
Memory for sentences is significantly enhanced when humor is present in the sentences.
Memory for sentences is significantly different when humor is present in the sentences.
Memory for sentences is not significantly different when humor is present in the sentences.
Memory for sentences is not significantly enhanced when humor is present in the sentences.