+0  
 
+2
1979
1
avatar+593 

1. The heights of the children at a summer camp are normally distributed with a mean of 54 inches and a standard deviation of 2.4 inches. What is the height of a child with a z-score of 1.5?

 

 

 

2. What is P(2≤X≤5)?

 Mar 22, 2018
 #1
avatar+1242 
+1

The z-score is a measure of how many standard deviations the value is from the mean. A z-score of 1.5 means that the value is 1.5 standard deviations above the mean. 

1.5 x 2.4 = 3.6 
54 + 3.6 = 57.6 

Answer: 
57.6 in 

The formula is:  
x = zσ + μ 

z : z-score (1.5) 
σ : standard deviation (2.4)  
μ : mean (54)  

Answer:  
x = 57.6

 Mar 22, 2018

2 Online Users

avatar
avatar