Susan has been on a bowling team for 14 years.After examining all of her scores over that period of time,she finds that they follow a normal distribution.Her average score is 225,with a standard deviation of 13. Refer to Exhibit 7-3.If during a typical month Susan bowls 64 games,what is the probability that her average score in this month is above 227?
A)0.1093
B)0.4404
C)0.5596
D)0.8907

Question

Quizplus · Accepted Answer

We need to find the probability that Susan's average score for the month is above 227.

First, we need to find the standard error of the mean (SEM) using the formula: 
SEM = standard deviation / square root of sample size 
SEM = 13 / sqrt(64) 
SEM = 1.625

Then, we need to standardize the average score using the formula: 
z = (x - mean) / SEM 
z = (227 - 225) / 1.625 
z = 1.23

We can use a z-table or calculator to find the probability of getting a z-score of 1.23 or higher. 
The probability is 0.1093, which is approximately 11%.

Therefore, the best choice is A) 0.1093.

Susan Has Been on a Bowling Team for 14 Years