. Over the last 15 Major League Baseball seasons, the mean number of strikeouts by the American League leader is 258.5. Assuming that the number of strikeouts by the league leader is normally distributed and the standard deviation for all seasons in all leagues is 34.9, find the 82% Confidence Interval and the 93% Confidence Interval for the mean.

Question

.  Over the last 15 Major League Baseball seasons, the mean number of strikeouts by the American League leader is 258.5. Assuming that the number of strikeouts by the league leader is normally distributed and the standard deviation for all seasons in all leagues is 34.9, find the 82% Confidence Interval and the 93% Confidence Interval for the mean.

drwls · Answer

I assume that you want the range of maximum strikeouts, centered about the mean, that the number falls within 82% or 93% of the time.
Using the normal distribution function, I get 93% probability for being between 196 and 323, and 82% probability for being between 215.5 and 301.5.

I used http://psych.colorado.edu/~mcclella/java/normal/accurateNormal.html