Hello, This course uses statistics to understand psychologically behaviors. I have someone who understand statistics very well and has a background in psychology. There are 13 questions and please answer carefully. The questions are multiple choose questions, so check your answer twice to ensure that’s the correct answer. Also, I want a written solution included. In other words, I want step by step instructions on how you solved each questions .Good luck!!1.How can you decrease the denominator of the t-test?Group of answer choicesUse an alpha level of .01 rather than .05Use two groups rather than oneIncrease NUse an alpha level of .05 rather than .013. 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.Group of answer choicesA t-test because σ is unknown.A z-test because σ is unknown.A t-test because σ is known.A z-test because σ is known.Question 4Last 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.Group of answer choicesμtrainingprogram≥81.75μtrainingprogram≠81.75μtrainingprogram≤81.75Question 5Last 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)?Group of answer choicesThe mean estimated final exam score of the population of freshmen who participated in the new 4-hour training program and the English Language Skills course is lower than the actual mean freshmen final exam score of 81.75 points.The mean estimated final exam score of the population of freshmen who participated in the new 4-hour training program and the English Language Skills course is different than the actual mean freshmen final exam score of 81.75 points.The mean estimated final exam score of the population of freshmen who participated in the new 4-hour training program and the English Language Skills course is not different than the actual mean freshmen final exam score of 81.75 points.The mean estimated final exam score of the population of freshmen who participated in the new 4-hour training program and the English Language Skills course is higher than the actual mean freshmen final exam score of 81.75 points.’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.Group of answer choices81.75″>μtrainingprogram>81.75μtrainingprogram≠81.75μtrainingprogram=81.75Question 7Last 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)?Group of answer choicesThe mean estimated final exam score of the population of freshmen who participated in the new 4-hour training program and the English Language Skills course is higher than the actual mean freshmen final exam score of 81.75 points.The mean estimated final exam score of the population of freshmen who participated in the new 4-hour training program and the English Language Skills course is lower than the actual mean freshmen final exam score of 81.75 points.The mean estimated final exam score of the population of freshmen who participated in the new 4-hour training program and the English Language Skills course is not different than the actual mean freshmen final exam score of 81.75 points.The mean estimated final exam score of the population of freshmen who participated in the new 4-hour training program and the English Language Skills course is different than the actual mean freshmen final exam score of 81.75 points.Question 8Last 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?Group of answer choices+ 2.0930+ 2.0860 + 2.8609 + 2.8453Question 9Last 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 NGroup of answer choices2.870.640.8012.82Question 10Last 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 sGroup of answer choices2.7972.2380.6240.140Question 11Last 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.Group of answer choicesReject H0, t(19) = 2.24, p < .01Reject H0, t(19) = 2.80, p < .01Fail to Reject H0, t(19) = 0.14, p > .01Fail to Reject H0, t(19) = 0.62, p > .01Question 12Last 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.Group of answer choicesType II Error – may have rejected a true H0.Type I Error – may have rejected a true H0.Type II Error – may have failed to reject a false H0.Type I Error – may have failed to reject a false H0.Question 13Last 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 DGroup of answer choices0.010.050.140.37Question 14Last 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 which of the following statements represents an accurate interpretation of the results of this study, including effect size, in APA format.Group of answer choicesFreshmen who participated in the English Language Skills course, and also participated in the new four-hour training program designed to improve study skills (M = 83.54), did not have final exam scores significantly different from the population of freshmen who only participated in the English Language Skills course (µ = 81.75), t(19) = 0.14, p > .01. The effect size indicates an expected increase in final exam scores of 0.37 standard deviation when participating in the English Language Skills course and the four-hour study skills program versus the English Language Skills course only.Freshmen who participated in the English Language Skills course, and also participated in the new four-hour training program designed to improve study skills (M = 83.54), had final exam scores significantly higher than the population of freshmen who only participated in the English Language Skills course (µ = 81.75), t(19) = 2.80 p < .01. The effect size indicates an expected increase in final exam scores of 0.01 standard deviation when participating in the English Language Skills course and the four-hour study skills program versus the English Language Skills course only.Freshmen who participated in the English Language Skills course, and also participated in the new four-hour training program designed to improve study skills (M = 83.54), had final exam scores significantly higher than the population of freshmen who only participated in the English Language Skills course (µ = 81.75), t(19) = 2.24, p < .01. The effect size indicates an expected increase in final exam scores of 0.05 standard deviation when participating in the English Language Skills course and the four-hour study skills program versus the English Language Skills course only.Freshmen who participated in the English Language Skills course, and also participated in the new four-hour training program designed to improve study skills (M = 83.54), did not have final exam scores significantly different from the population of freshmen who only participated in the English Language Skills course (µ = 81.75), t(19) = 0.62, p > .01. The effect size indicates an expected increase in final exam scores of 0.14 standard deviation when participating in the English Language Skills course and the four-hour study skills program versus the English Language Skills course only.