The number of home runs hit for each player in Major League Baseball are approxi
ID: 3023850 • Letter: T
Question
The number of home runs hit for each player in Major League Baseball are approximately normally distributed with a mean of 21.94 and a standard deviation of 2.185. Would it be unusual for a randomly selected player of have hit between 19.7 and 20.7 homeruns in the previous season? Question 10 options:
1) It is impossible for a value in this interval to occur with this distribution of data.
2) We do not have enough information to determine if a value in this interval is unusual.
3) A value in this interval is unusual.
4) A value in this interval is not unusual.
5) A value in this interval is borderline unusual.
Explanation / Answer
Would it be unusual for a randomly selected player of have hit between 19.7 and 20.7 homeruns in the previous season?
P( 19.7 < x < 20.7 )
P( [19.7 - 21.94] / 2.185 < z < [20.7 - 21.94] / 2.185 )
P( -1.03 < z <-0.57) = P( z < -0.57 ) - P(z < -1.03) = 0.2843 - 0.1515 = 0.1328
it would be unusual if the probability will be 5% or less
since the probability is 13.28% that is probability not unusual we can conclude that
4) A value in this interval is not unusual.