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PS390 Statistical Reasoning In Psychology

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  1. (25 points) A sports psychologist gave a questionnaire about healthy eating habits to randomly selected professional athletes. The results are displayed below. Using the .05 significance level, is there a difference in healthy eating habits among professionals in the three sports?

Baseball Players              Basketball Players              Football Players

            32                                    27                                        27

            27                                    36                                        23

            26                                    25                                        26

            35                                    30                                        20

  1. Make a graph for the data set.Use the five steps of hypothesis testing (report results in APA format).Figure the effect size of this study.Conduct a planned contrast for Baseball versus Football players (using Tukey’s HSD).
  1. A researcher is interested in the effects of sleep deprivation and caffeine intake on mood. Participants were randomly assigned to a sleep condition (normal or deprived) and a caffeine condition (0 cups, 2 cups, or 4 cups). After the manipulations, mood was measured (such that higher numbers indicated better mood). The results were as follows:

               Normal Condition                            Deprived Condition

            0 cups  2 cups  4 cups                          0 cups  2 cups  4 cups

                16       18         18                                0          5          6

                17       20         17                                6          4          8

                20       20         17                                3          4          6

                19       19         17                                2          2          7

                18       18         16                                4          5          8

Analyze these data using a factorial analysis of variance and including R2 for each effect. A researcher was interested in whether college GPA (X) would predict starting salary after college (Y). (For simplicity, salary was converted to a 100-point scale.) The participants' scores were:

            X                      Y         

            2.25                 55

            1.75                 23

            3.25                 80

            3.75                 42       

            M = 2.75          M = 50 

  1. Report the correlation and linear prediction equation.Make a graph with the regression line.Figure the standardized regression coefficient.An advertising firm wanting to target people with strong desires for success conducted a study to see if such people differed in the types of television shows they watched. Randomly selected participants recorded the shows they watched for a week, then their desire for success was assessed, and finally they were divided into two groups. Low Success seekers watched 8 comedies, 15 romances, 6 documentaries, 13 dramas, and 3 news shows. High Success seekers watched 3 comedies, 3 romances, 9 documentaries, 7 dramas, and 8 news shows. Using the .05 significance level, is the distribution of type of shows watched different for participants having high and low desires for success?
  1. Use the five steps of hypothesis testing.Figure a measure of effect size and indicate whether it is small, medium, or large.
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