A standardized exam's scores are normally distributed. In a recent year, the mean test score was 20.7 and the standard deviation was 5.4 . The test scores of four students selected at random are 14, 22, 8, and 36 . Find the
The
(Round to two decimal places as needed.)
The
(Round to two decimal places as needed.)
The
(Round to two decimal places as needed.)
The
In a normal distribution, any z-score greater than 3 or less than -3 is considered unusual. Therefore, none of the scores are unusual, which is the final answer
Step 1 :Calculate the z-score for each student using the formula
Step 2 :For the student with a score of 14, the z-score is calculated as
Step 3 :For the student with a score of 22, the z-score is calculated as
Step 4 :For the student with a score of 8, the z-score is calculated as
Step 5 :For the student with a score of 36, the z-score is calculated as
Step 6 :In a normal distribution, any z-score greater than 3 or less than -3 is considered unusual. Therefore, none of the scores are unusual, which is the final answer