Components in the formula for the t statistic

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Reference no: EM132464736

Problem:

DATA

GROUP 1 - 6, 5, 4, 4, 6, 7, 6, 6, 3, 5, 4, 3, 5, 3, 7, 6 - Mean 5

GROUP 2 - 6, 3, 5, 3, 3, 4, 2, 6, 4, 3, 4, 4, 5, 2, 6, 4 - Mean 4

Pooled Variance - 1.80

Question 1: 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.

A) DV- Memory of sentences; IV- Presence/absence of humor

B) DV- Presence/absence of humor; IV- Sentences

C) DV- Presence/absence of humor; IV- Memory of sentences

D) DV- Sentences; IV- Presence/absence of humor

Question 2: 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?

A) Memory for sentences is not significantly enhanced by the presence of humor in the sentences.

B) Memory for sentences is significantly enhanced by the presence of humor in the sentences.

C) Memory for sentences is significantly different depending on whether humor is present in the sentences.

D) Memory for sentences is not significantly different depending on whether humor is present in the sentences.

Question 3: 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.

Question 4: 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)

Question 5: 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 place)

Question 6: What is the hypothesis test result based on the comparison of the t statistic and the critical t value?

A) Reject the null hypothesis because the calculated t statistic is more extreme than 1.698.

B) Reject the null hypothesis because the calculated t statistic is less extreme than 1.698.

C) Fail to reject the null hypothesis because the calculated t statistic is more extreme than 1.698.

D) Fail to reject the null hypothesis because the calculated t statistic is less extreme than 1.698.

Reference no: EM132464736

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