In: Statistics and Probability
Testing the effect of meal type on test performance.Hypothesize that students eating a high protein meal will have higher test performance than students consuming a high carbohydrate meal. Forty students from the researcher’s Introduction to Psychology course were randomly selected from the 250 students in the course for participation in the study. Randomly assigned to either the high protein group or the high carbohydrate group. Each was then given a standardized test over intro psych material one hour after meal consumption (% correct is recorded). The data is below.
Protein Carbohydrate
95 |
92 |
83 |
73 |
88 |
79 |
80 |
67 |
79 |
82 |
79 |
81 |
97 |
85 |
92 |
83 |
87 |
73 |
89 |
65 |
84 |
72 |
95 |
76 |
86 |
63 |
79 |
60 |
88 |
78 |
69 |
70 |
97 |
75 |
95 |
81 |
90 |
82 |
87 |
69 |
Mean = 86.95 Mean = 75.3
S = 7.337538667 S = 8.137631881
S2 = 53.83947368 S2 = 66.22105263
A. What is your computed answer (t, F, or r) ? (What do I do here calculate a t-obs or t-crit? What does that mean/how do I do it? Vassarstats?)
B. What probability level did you choose and why?
C. If you have made an error, would it be a Type I or a Type II error? Explain your answer.
a)
this is independent sample t-test
also this is right-tailed test
b)
we choose alpha = 0.05
c)
type i error - when we reject the null hypothesis when null hypothesis is true
since we reject the null null hypothesis
we could have made type i error