Question
Batting Averages for 15 LA Dodgers Players Batting Averages for 15 Houston Astros Players 0.249 0.277 0.278 0.278 0.258 0.294 0.264 0.279 0.297 0.319 0.254
Batting Averages for 15 LA Dodgers Players | Batting Averages for 15 Houston Astros Players |
0.249 | 0.277 |
0.278 | 0.278 |
0.258 | 0.294 |
0.264 | 0.279 |
0.297 | 0.319 |
0.254 | 0.257 |
0.306 | 0.27 |
0.254 | 0.172 |
0.165 | 0.311 |
0.338 | 0.235 |
0.27 | 0.259 |
0.242 | 0.26 |
0.215 | 0.211 |
0.215 | 0.304 |
0.169 | 0.176 |
1 What is the null hypothesis?
2 What is the alternative hypothesis?
3 What is the risk level?
Group of answer choices
.05
.01
.5
.25
4 What is the best statistical test to use?
Group of answer choices
t-Test for independent samples
t-Test for dependent samples
correlation test
ANOVA
z-test
5 Compute the test statistic. The formula is below for you. Also, remember to use the variance rather than the standard deviation in your calculation. You have already calculated the variance for your previous assignment, so that part is already done! Put your calculated t value below, round your answer to two decimal places:
6 Now it's time to compare our obtained value (the one you just calculated) to the critical value. First, we'll need the degrees of freedom. What are the degrees of freedom?
Group of answer choices
19
28
40
39
7 Should we use a "one tailed" or a "two tailed" test for this?
Hint: To figure this out, think about whether it is directional or non-directional. Take a look at your alternative hypothesis (above!), and think about the prompt for the assignment---did we expect a specific team to be better than the other (directional), or are we simply looking at whether the teams are different (non-directional)?
Group of answer choices
one tailed
two tailed
8 What is the critical value for this statistical test? (hint: you'll need your answers to the previous two questions, as well as your "level of risk"; remember, if the exact degrees of freedom aren't in the t-test table of critical values, you can choose the closest value that is there).
Group of answer choices
2.049
1.701
1.562
2.023
9 Write up your results as you would see it in a results section of an empirical research paper (in APAstyle). Make sure to include the means and SDs.
10 Based on your answer to the previous question, what is your decision?
Group of answer choices
Fail to reject the null hypothesis
Reject the null hypothesis
Not enough information to decide
11 Imagine that you also want to compare two other teams, The Red Sox and Yankees. After anther t-test to compare the two teams and you writ the following write-up:
An independent samples t-Test comparing the average batting averages of the Red Sox and Yankees was significant, t(28) = 1.92, p < .05. The batting average for the Red Sox was significantly higher (M = 0.25, SD = 0.05) than the batting average for the Yankees (M = 0.210, SD = .05).
Calculate the effect size for this new t-test, using the Pooled Variance Formula (Below). Round your answer to two decimal places.
12 What "size" is this effect size?
Group of answer choices
There isn't enough information to answer this question.
Medium
Large
Small
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