answer the following questions in details . every single number of the calculation must be seen and demonstrated as you solve the problems. no shortcuts.you must follow the format and strategy used in...

answer the following questions in details . every single number of the calculation must be seen and demonstrated as you solve the problems. no shortcuts.you must follow the format and strategy used in the attached files that are supposed to help you with solutions and technique.hand writing is favorable. if not able to write by hand, use word doc. do not use excel or other calculation software.every single detail is appreciated.your asked to solve the problems in fine (assignment 10).other files are there to show how my instructor work. u must use the same style .



Assignment #7 1. A lecture of 12 students is split into two groups of 6 students for the final examination. Each group is given a different version of the examination; however, the instructor believes the exams are comparable in term of difficulty and knowledge required. Below is a table of test scores for the groups. Determine if there is a statistical difference between the two groups (7 points). a. Is this a “within” or “between” subjects study? Why? b. Using the appropriate test statistic, Determine if there is a statistical difference between group A and group B Test Scores Score # Group A Group B 1 90 88 2 87 83 3 88 86 4 89 87 5 96 74 6 92 81 2. You have found two separate studies reporting static back strength of male college students. Study results are reported as follows. Study #1: n=8, x-bar = 370.6, s = 102.9 Study #2: n=13, x-bar = 424.3, s = 130.3 a. Are these study results statistically comparable? (non-directional, test at alpha = 0.05; 6 points) 3. A researcher team is studying metabolic energy expenditure in warehouse operations. The team watches 8 workers performing two different operations. The workers vary in physical condition and their job performance technique varies from operation to operation. The researchers want to summarize the energy expenditure requirements for a typical worker performing each operation, and determine if the two operations require comparable energy. Worker # Operation #1 Operation #2 1 5.75 6.85 2 5.10 5.86 3 6.31 6.72 4 6.28 6.41 5 5.75 5.90 6 6.00 7.21 7 4.92 5.95 8 7.25 8.91 a. Test if there is a general difference between the energy expenditure requirements of Operation #1 and Operation #2 (6-points) • Is this a within or between subjects test? • State the final answer in a simple sentence. b. Test if Operation #1 requries less energy expenditure than Operation #2, for a given worker (ie, directional, or one-tailed test; 6 points). • Is this a within or between subjects test? • State the final answer in a simple sentence. Homework #06 Paired t-test 1. We can use a paired t-test for comparing average height of men and women. a. True b. False 2. We can use a paired t-test for comparing average weights before and after diet control. a. True b. False 3. We can use a paired t-test to test whether height and weight are related. a. True b. False 4. The following is true about the paired t-test: a. It examines the mean of individual differences of paired measurements b. It is often used to compare “before” and “after” scores c. To investigate the effectiveness of a new medicine by checking patients before and after they took the medicine. d. All of the above 5. One of the requirements for using paired t-test is that the: a. The observations are normally distributed b. The differences between the observations are normally distributed from two different samples c. The observations are from two independent samples d. None of the above 6. With n observations, the degrees of freedom for paired t-test is: a. n b. n-1 c. n-2 d. None of the above 7. The paired t-test is used to test the null hypothesis that the average of the differences between a series of paired observations is zero. a. True b. False 8. An occupational therapist claims that a certain type of therapy improves pinch strength. To test the therapist’s claim, a researcher measured pinch strengths of 20 patients before therapy and after 3 months of therapy (see Table 1). a. Calculate the mean difference (!), standard deviation (s) of the differences and standard error (SE) of sample mean (!). b. Calculate 95% Confidence interval c. Based on the confidence interval does therapy improve pinch strength? d. Calculate the t statistic and compare it with t critical to determine the approximate p-value for this test. Table 1. Patient Before Therapy (A) After Therapy (B) Difference (B-A) 1 18 22 2 21 25 3 16 17 4 22 24 5 19 16 6 24 29 7 17 20 8 21 23 9 23 19 10 18 20 11 14 15 12 16 15 13 16 18 14 19 26 15 18 18 16 20 24 17 12 18 18 22 25 19 15 19 20 17 16 9. An instructor measured anxiety scores on 11 students on two different days: a regular day and on an examination day (see Table 2). Determine if the exam day increases the anxiety level among students. a. Calculate the mean difference (!), standard deviation (s) of the differences and standard error (SE) of sample mean (!). b. Calculate 95% Confidence interval c. Based on the confidence interval does therapy improve pinch strength? d. Calculate the t statistic and compare it with t critical to determine the approximate p- value for this test. Table 2. student Regular day (A) Exam day(B) Difference (B-A) 1 16 32 2 3 22 3 17 23 4 3 13 5 19 20 6 15 29 7 24 11 8 23 25 9 3 13 10 12 20 11 32 30 10. A clinic has a weight loss program. To prove the program’s effectiveness the clinic asked an independent consumer agency to investigate the effectiveness of the weight loss program. The agency took a sample of 15 people, weighed each person in the sample before the weight loss program began and 3 months later (see Table 3). Determine whether the weight loss program is effective. a. Calculate the mean difference (!), standard deviation (s) of the differences in weights and standard error (SE) of sample mean (!). b. Calculate 95% Confidence interval c. Based on the confidence interval does therapy improve pinch strength? d. Calculate the t statistic and compare it with t critical to determine the approximate p- value for this test. Table 3. Subject Before Program (A) After Program (B) Difference (A-B) 1 210 197 2 205 195 3 193 191 4 182 174 5 259 236 6 239 226 7 164 157 8 197 196 9 222 201 10 211 196 11 187 181 12 175 164 13 186 181 14 243 229 15 246 231