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Batting Averages for 15 Red Sox Players: BattingAverages for 15 Yankees Players: 0.275 0.295 0.321 0.252 0.318 0.210 0.288 0.269 0.269 0.185 0.195 0.184 0.224

Batting Averages for 15 Red Sox Players:

BattingAverages for 15 Yankees Players:

0.275 0.295
0.321 0.252
0.318 0.210
0.288 0.269
0.269 0.185
0.195 0.184
0.224 0.180
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 0.190
0.250 0.182

RED SOX PLAYERS:

Mean (Rounded tp three decimal places) = 0.247

Variance (Rounded to three decimal places) = 0.003

Standard Deviation (Rounded to three decimal places) = 0.055

Yankee Players:

Mean (Rounded to 3 decimal) = 0.210

Variance (Rounded 3 decimals) = 0.003

Standard Deviation (Rounded 3 decimal places) = 0.055

  1. Which team seems to have more variability, the Yankees or Red Sox? (careful: they're very close!).

Yankees

Red Sox

Neither group has any variability

2. Which team has the higher mean?

neither group has a higher mean

Red Sox

Yankees

3. The Yankees are considering bringing a new player onto their team. This new player has a batting average of 0.271. Is this new player's batting average within one standard deviation (above or below) the mean for the Yankees? Why or why not?

4. Based on the new player's batting average (the one from the question above), should the Yankees hire him? Why or why not?

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