Pretend that you are a Red Sox fan and you want to test specifically whether the Red Sox are a better team than the Yankees.

Data for team batting averages

Red Sox Yankees

0.275 0.295

0.321 0.252

0.318 0.21

0.288 0.269

0.269 0.185

0.195 0.184

0.224 0.18

0.251 0.194

0.203 0.235

0.125 0.133

0.289 0.253

0.273 0.272

0.179 0.118

0.245 0.19

0.25 0.182

1. What is the Null Hypothesis?

2. What is the Alternative Hypothesis?

3. What is the level risk?

a. .25

b. .01

c. .05

d. .5

4. What is the best statistical test to use?

a. z-test

b. ANOVA

c. correlation test

d. t-Test for dependent samples

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.

The variance for Red Sox players and Yankee Players is 0.003. Put your calculated t value below, round your answer to two decimal places:

( mi -m2) (#1-1)57+ (12-1)$7 (#1+/2) #1+07-2