Exam 8: The T Test for Dependent Groups

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A psychiatrist wishes to determine whether a new medication controls seizures better than the patients' previous medications. The number of seizures is recorded on previous and new medications for a period of 1 year for each patient. The research question is focused on determining whether there are differences between the two means of the numbers of seizures between the previous and new medications.  Number of Seizures \text { Number of Seizures } Previous Medication New Medication Patient 1 4 7 Patient 2 5 6 Patient 3 4 3 Patient 4 3 3 Patient 5 4 5 Patient 6 3 2 Patient 7 4 5 Patient 8 6 7 Patient 8 4 4 Patient 10 3 2 Patient 11 4 5 Patient 12 5 4 -The derived t value from the formula is

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A psychiatrist wishes to determine whether a new medication controls seizures better than the patients' previous medications. The number of seizures is recorded on previous and new medications for a period of 1 year for each patient. The research question is focused on determining whether there are differences between the two means of the numbers of seizures between the previous and new medications.  Number of Seizures \text { Number of Seizures } Previous Medication New Medication Patient 1 4 7 Patient 2 5 6 Patient 3 4 3 Patient 4 3 3 Patient 5 4 5 Patient 6 3 2 Patient 7 4 5 Patient 8 6 7 Patient 8 4 4 Patient 10 3 2 Patient 11 4 5 Patient 12 5 4 -The df for this problem are

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A psychiatrist wishes to determine whether a new medication controls seizures better than the patients' previous medications. The number of seizures is recorded on previous and new medications for a period of 1 year for each patient. The research question is focused on determining whether there are differences between the two means of the numbers of seizures between the previous and new medications.  Number of Seizures \text { Number of Seizures } Previous Medication New Medication Patient 1 4 7 Patient 2 5 6 Patient 3 4 3 Patient 4 3 3 Patient 5 4 5 Patient 6 3 2 Patient 7 4 5 Patient 8 6 7 Patient 8 4 4 Patient 10 3 2 Patient 11 4 5 Patient 12 5 4 -The value of the numerator in the dependent t test formula for this problem is approximately

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D

The two-tailed test of significance protects against the Type ____ error better than the one-tailed test of significance.

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A psychologist wishes to determine whether drinking coffee improves one's mood. The psychologist hangs out at the Café Coffay and asks customers to fill out a 10-point good-mood, bad-mood questionnaire (where 10 = great mood and 1 = bad mood) before and after their first cup of coffee that day. The research question is whether there is any evidence that drinking coffee improves mood. Before Mood Rating After Mood Rating Participant 1 5 9 Participant 2 3 8 Participant 3 9 9 Participant 4 3 8 Participant 5 2 7 Participant 6 4 9 Participant 7 1 10 Participant 8 8 8 Participant 9 6 5 Participant 10 7 7 Participant 11 4 3 Participant 12 3 10 Participant 13 8 7 Participant 14 7 9 Participant 15 5 9 -In nonstatistical language, what can be concluded?

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A psychiatrist wishes to determine whether a new medication controls seizures better than the patients' previous medications. The number of seizures is recorded on previous and new medications for a period of 1 year for each patient. The research question is focused on determining whether there are differences between the two means of the numbers of seizures between the previous and new medications.  Number of Seizures \text { Number of Seizures } Previous Medication New Medication Patient 1 4 7 Patient 2 5 6 Patient 3 4 3 Patient 4 3 3 Patient 5 4 5 Patient 6 3 2 Patient 7 4 5 Patient 8 6 7 Patient 8 4 4 Patient 10 3 2 Patient 11 4 5 Patient 12 5 4 -In nonstatistical language, what can be concluded?

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Which of the following is not a name for the dependent t test?

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A psychologist wishes to determine whether drinking coffee improves one's mood. The psychologist hangs out at the Café Coffay and asks customers to fill out a 10-point good-mood, bad-mood questionnaire (where 10 = great mood and 1 = bad mood) before and after their first cup of coffee that day. The research question is whether there is any evidence that drinking coffee improves mood. Before Mood Rating After Mood Rating Participant 1 5 9 Participant 2 3 8 Participant 3 9 9 Participant 4 3 8 Participant 5 2 7 Participant 6 4 9 Participant 7 1 10 Participant 8 8 8 Participant 9 6 5 Participant 10 7 7 Participant 11 4 3 Participant 12 3 10 Participant 13 8 7 Participant 14 7 9 Participant 15 5 9 -The derived t value (either + or -) from the formula is

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A psychologist wishes to determine whether drinking coffee improves one's mood. The psychologist hangs out at the Café Coffay and asks customers to fill out a 10-point good-mood, bad-mood questionnaire (where 10 = great mood and 1 = bad mood) before and after their first cup of coffee that day. The research question is whether there is any evidence that drinking coffee improves mood. Before Mood Rating After Mood Rating Participant 1 5 9 Participant 2 3 8 Participant 3 9 9 Participant 4 3 8 Participant 5 2 7 Participant 6 4 9 Participant 7 1 10 Participant 8 8 8 Participant 9 6 5 Participant 10 7 7 Participant 11 4 3 Participant 12 3 10 Participant 13 8 7 Participant 14 7 9 Participant 15 5 9 -What statistical decision is appropriate?

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A psychiatrist wishes to determine whether a new medication controls seizures better than the patients' previous medications. The number of seizures is recorded on previous and new medications for a period of 1 year for each patient. The research question is focused on determining whether there are differences between the two means of the numbers of seizures between the previous and new medications.  Number of Seizures \text { Number of Seizures } Previous Medication New Medication Patient 1 4 7 Patient 2 5 6 Patient 3 4 3 Patient 4 3 3 Patient 5 4 5 Patient 6 3 2 Patient 7 4 5 Patient 8 6 7 Patient 8 4 4 Patient 10 3 2 Patient 11 4 5 Patient 12 5 4 -What statistical decision is appropriate?

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A psychologist wishes to determine whether drinking coffee improves one's mood. The psychologist hangs out at the Café Coffay and asks customers to fill out a 10-point good-mood, bad-mood questionnaire (where 10 = great mood and 1 = bad mood) before and after their first cup of coffee that day. The research question is whether there is any evidence that drinking coffee improves mood. Before Mood Rating After Mood Rating Participant 1 5 9 Participant 2 3 8 Participant 3 9 9 Participant 4 3 8 Participant 5 2 7 Participant 6 4 9 Participant 7 1 10 Participant 8 8 8 Participant 9 6 5 Participant 10 7 7 Participant 11 4 3 Participant 12 3 10 Participant 13 8 7 Participant 14 7 9 Participant 15 5 9 -In statistical language, the results are significant at (and remember statisticians report the lowest p level possible)

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Which of the following is not a way to increase the power of a t test?

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A psychologist wishes to determine whether drinking coffee improves one's mood. The psychologist hangs out at the Café Coffay and asks customers to fill out a 10-point good-mood, bad-mood questionnaire (where 10 = great mood and 1 = bad mood) before and after their first cup of coffee that day. The research question is whether there is any evidence that drinking coffee improves mood. Before Mood Rating After Mood Rating Participant 1 5 9 Participant 2 3 8 Participant 3 9 9 Participant 4 3 8 Participant 5 2 7 Participant 6 4 9 Participant 7 1 10 Participant 8 8 8 Participant 9 6 5 Participant 10 7 7 Participant 11 4 3 Participant 12 3 10 Participant 13 8 7 Participant 14 7 9 Participant 15 5 9 -The value of the numerator in the dependent t test formula for this problem is approximately

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The __________________ effect is said to occur when extreme scores, which are measured again, tend to be closer to the mean.

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Design 3 of the dependent t test controls for the

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One drawback of dependent t test designs versus independent t test designs is the degrees of freedom.Given the same number of participants in both designs, which has the greater degrees of freedom?

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A psychiatrist wishes to determine whether a new medication controls seizures better than the patients' previous medications. The number of seizures is recorded on previous and new medications for a period of 1 year for each patient. The research question is focused on determining whether there are differences between the two means of the numbers of seizures between the previous and new medications.  Number of Seizures \text { Number of Seizures } Previous Medication New Medication Patient 1 4 7 Patient 2 5 6 Patient 3 4 3 Patient 4 3 3 Patient 5 4 5 Patient 6 3 2 Patient 7 4 5 Patient 8 6 7 Patient 8 4 4 Patient 10 3 2 Patient 11 4 5 Patient 12 5 4 -Assume this t test had a nondirectional alternative hypothesis, and we will use the conventional level of statistical significance.The critical value (plus and minus) of the t test for this problem (obtained from Appendix B: t distribution) is

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A psychologist wishes to determine whether drinking coffee improves one's mood. The psychologist hangs out at the Café Coffay and asks customers to fill out a 10-point good-mood, bad-mood questionnaire (where 10 = great mood and 1 = bad mood) before and after their first cup of coffee that day. The research question is whether there is any evidence that drinking coffee improves mood. Before Mood Rating After Mood Rating Participant 1 5 9 Participant 2 3 8 Participant 3 9 9 Participant 4 3 8 Participant 5 2 7 Participant 6 4 9 Participant 7 1 10 Participant 8 8 8 Participant 9 6 5 Participant 10 7 7 Participant 11 4 3 Participant 12 3 10 Participant 13 8 7 Participant 14 7 9 Participant 15 5 9 -The df for this problem are

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A psychologist wishes to determine whether drinking coffee improves one's mood. The psychologist hangs out at the Café Coffay and asks customers to fill out a 10-point good-mood, bad-mood questionnaire (where 10 = great mood and 1 = bad mood) before and after their first cup of coffee that day. The research question is whether there is any evidence that drinking coffee improves mood. Before Mood Rating After Mood Rating Participant 1 5 9 Participant 2 3 8 Participant 3 9 9 Participant 4 3 8 Participant 5 2 7 Participant 6 4 9 Participant 7 1 10 Participant 8 8 8 Participant 9 6 5 Participant 10 7 7 Participant 11 4 3 Participant 12 3 10 Participant 13 8 7 Participant 14 7 9 Participant 15 5 9 -Assume this t test had a nondirectional alternative hypothesis, and we will use the conventional level of statistical significance.The critical value (plus and minus) of the t test for this problem (obtained from Appendix B: t distribution) is

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The way in which the _________________ hypothesis is stated determines whether a test of significance is one-tailed or two-tailed.

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