# Last fall, a sample of N = 20 freshmen was selected to participate in a new 4-hour training program designed to improve study skills. To evaluate the effectiveness of the new program, the sample was compared with the rest of the freshmen class

1.How can you decrease the denominator of the t-test?

3. Last fall, a sample of N = 20 freshmen was selected to participate in a new 4-hour training program designed to improve study skills. To evaluate the effectiveness of the new program, the sample was compared with the rest of the freshmen class. All freshmen must take the English Language Skills course, and the mean score on the final exam for the entire freshmen class was μ = 81.75. The students in the new program had a mean score of M = 83.54 with a standard deviation of SD = 12.82. Test if the study skills training program produced a significant difference in scores using a two-tailed test with an α = .01.

Which is the appropriate analysis for this data?

Hint: A z-test is used when σ is known, and a t-test is used when σ is unknown.

Question 4

Last fall, a sample of N = 20 freshmen was selected to participate in a new 4-hour training program designed to improve study skills. To evaluate the effectiveness of the new program, the sample was compared with the rest of the freshmen class. All freshmen must take the English Language Skills course, and the mean score on the final exam for the entire freshmen class was μ = 81.75. The students in the new program had a mean score of M = 83.54 with a standard deviation of SD = 12.82. Test if the study skills training program produced a significant difference in scores using a two-tailed test with an α = .01.

What is the symbolic null hypothesis (H0)?

Hint: This is a two-tailed test, so the null (H0) and research (H1) hypotheses are not directional.

Last fall, a sample of N = 20 freshmen was selected to participate in a new 4-hour training program designed to improve study skills. To evaluate the effectiveness of the new program, the sample was compared with the rest of the freshmen class. All freshmen must take the English Language Skills course, and the mean score on the final exam for the entire freshmen class was μ = 81.75. The students in the new program had a mean score of M = 83.54 with a standard deviation of SD = 12.82. Test if the study skills training program produced a significant difference in scores using a two-tailed test with an α = .01.

What is the verbal null hypothesis (H0)?

Question 6

Last fall, a sample of N = 20 freshmen was selected to participate in a new 4-hour training program designed to improve study skills. To evaluate the effectiveness of the new program, the sample was compared with the rest of the freshmen class. All freshmen must take the English Language Skills course, and the mean score on the final exam for the entire freshmen class was μ = 81.75. The students in the new program had a mean score of M = 83.54 with a standard deviation of SD = 12.82. Test if the study skills training program produced a significant difference in scores using a two-tailed test with an α = .01.

What is the symbolic research hypothesis (H1)?

Hint: This is a two-tailed test, so the null (H0) and research (H1) hypotheses are not directional.

Question 7

Last fall, a sample of N = 20 freshmen was selected to participate in a new 4-hour training program designed to improve study skills. To evaluate the effectiveness of the new program, the sample was compared with the rest of the freshmen class. All freshmen must take the English Language Skills course, and the mean score on the final exam for the entire freshmen class was μ = 81.75. The students in the new program had a mean score of M = 83.54 with a standard deviation of SD = 12.82. Test if the study skills training program produced a significant difference in scores using a two-tailed test with an α = .01.

What is the verbal research hypothesis (H1)?

Question 8

Last fall, a sample of N = 20 freshmen was selected to participate in a new 4-hour training program designed to improve study skills. To evaluate the effectiveness of the new program, the sample was compared with the rest of the freshmen class. All freshmen must take the English Language Skills course, and the mean score on the final exam for the entire freshmen class was μ = 81.75. The students in the new program had a mean score of M = 83.54 with a standard deviation of SD = 12.82. Test if the study skills training program produced a significant difference in scores using a two-tailed test with an α = .01.

What is the critical value for this study, α = .01, two-tailed?

Question 9

Last fall, a sample of N = 20 freshmen was selected to participate in a new 4-hour training program designed to improve study skills. To evaluate the effectiveness of the new program, the sample was compared with the rest of the freshmen class. All freshmen must take the English Language Skills course, and the mean score on the final exam for the entire freshmen class was μ = 81.75. The students in the new program had a mean score of M = 83.54 with a standard deviation of SD = 12.82. Test if the study skills training program produced a significant difference in scores using a two-tailed test with an α = .01.

Compute the standard error of the mean.

S E M s = S D N

Question 10

Last fall, a sample of N = 20 freshmen was selected to participate in a new 4-hour training program designed to improve study skills. To evaluate the effectiveness of the new program, the sample was compared with the rest of the freshmen class. All freshmen must take the English Language Skills course, and the mean score on the final exam for the entire freshmen class was μ = 81.75. The students in the new program had a mean score of M = 83.54 with a standard deviation of SD = 12.82. Test if the study skills training program produced a significant difference in scores using a two-tailed test with an α = .01.

Compute the t-value for this study.

t = M − μ S E M s

Question 11

Last fall, a sample of N = 20 freshmen was selected to participate in a new 4-hour training program designed to improve study skills. To evaluate the effectiveness of the new program, the sample was compared with the rest of the freshmen class. All freshmen must take the English Language Skills course, and the mean score on the final exam for the entire freshmen class was μ = 81.75. The students in the new program had a mean score of M = 83.54 with a standard deviation of SD = 12.82. Test if the study skills training program produced a significant difference in scores using a two-tailed test with an α = .01.

Identify the correct decision and APA format results for this analysis.

Hint: If the t value falls in the critical region, you Reject H0, and if the t value does not fall in the critical region, you Fail to Reject H0.

Question 12

Last fall, a sample of N = 20 freshmen was selected to participate in a new 4-hour training program designed to improve study skills. To evaluate the effectiveness of the new program, the sample was compared with the rest of the freshmen class. All freshmen must take the English Language Skills course, and the mean score on the final exam for the entire freshmen class was μ = 81.75. The students in the new program had a mean score of M = 83.54 with a standard deviation of SD = 12.82. Test if the study skills training program produced a significant difference in scores using a two-tailed test with an α = .01.

Identify the type of hypothesis testing error you may have made and why.

Hint: Type I Error can only happen if you Reject H0, and Type II Error can only happen if you Fail to Reject H0.

Question 13

Last fall, a sample of N = 20 freshmen was selected to participate in a new 4-hour training program designed to improve study skills. To evaluate the effectiveness of the new program, the sample was compared with the rest of the freshmen class. All freshmen must take the English Language Skills course, and the mean score on the final exam for the entire freshmen class was μ = 81.75. The students in the new program had a mean score of M = 83.54 with a standard deviation of SD = 12.82. Test if the study skills training program produced a significant difference in scores using a two-tailed test with an α = .01.

Calculate the effect size (Cohen’s d).

d = M − μ S D

Question 14

Last fall, a sample of N = 20 freshmen was selected to participate in a new 4-hour training program designed to improve study skills. To evaluate the effectiveness of the new program, the sample was compared with the rest of the freshmen class. All freshmen must take the English Language Skills course, and the mean score on the final exam for the entire freshmen class was μ = 81.75. The students in the new program had a mean score of M = 83.54 with a standard deviation of SD = 12.82. Test if the study skills training program produced a significant difference in scores using a two-tailed test with an α = .01.

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