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C. Reject Ha. D. No conclusion can be made. 1.7 A one-way ANOVA analysis is run with 4 different factor levels where the samples are not from SRS's from their respective populations. The p-value of the F-test is 0.001. What conclusion can you make concerning the means at a significance level of 0.05? A. At least two of the means are difference. B. All of the means are different. C. All of the means are the same. D. No decision can be made. (29 pts.) 2.A psychologist was interested in whether different TV shows lead to a more positive outlook on life. People were randomly split into 4 groups and then taken to a room to view a program. The four groups saw: The Muppet Show, Futurama, BBC News, or nothing. Each person had a blood sample taken before and after the program was watched and the difference of serotonin levels was measured (remember more serotonin means happier!). The summary data is shown below The Muppet Show Futurama BBC News Nothing n 7 7 7 7 x̄8.53 7.67 2.96 6.35 s 2.99 2.42 1.51 1.49 a. (4 pts.) Using the values already filled in, complete the ANOVA table. Please show your work for all of the empty cells. Source Degrees of Freedom Sum of Squares Mean Square F P-value Factor 125.89 0.00044 Error 115.80 Total 241.69
Practice 5 b. (10 pts.) Perform the hypothesis test to test the hypothesis that some TV shows make people happier than others for a level of significance 0.05. Provide all four steps as discussed in class. c. (10 points) The results of the Tukey multiple comparison method are below. Please indicate whether each of the differences are significant (Yes or No) and then complete the graphical representation of the output. Finally, write 1 –2 complete English sentences stating which program(s) raise the serotonin levels the most. i –j CI Is this significant? (Y/N) i –j CI Is this significant? (Y/N) Muppet –Futurama (-2.38, 4.10) Futurama –BBC News (1.47, 7.95) Muppet –BBC News (2.33, 8.81) Futurama –Nothing (-1.92, 4.56) Muppet –Nothing (-1.06, 5.42) BBC News –Nothing (-6.63,-0.15) BBC News Nothing Futurama The Muppet Show 2.96 6.35 7.67 8.53 d. (5 points) Knowing that both the Muppet show and Futurama are comedies, can you conclude that watching comedies improve serotonin levels? Please explain your answer.
Practice 6 (30 pts.) 3.Each employee hired at an electronics parts assembly line in the Lafayette area is given a dexterity test. The firm wants to know which of the following methods of training is more effective, written materials or interactive training videos. After going over the training materials which were assigned, either written or video, each employee was then asked to assemble a part used in a locater-beacon transmitter which requires a lot of fine motor skills and the time (in minutes) to completion was recorded. The summary data is shown below.
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Statistics, Statistical hypothesis testing, significance level, BBC News, Futurama