Suppose the random variable x is best described by a normal distribution with u = 27 and o = 4. Find the z-score that corresponds to each of the following x-values. a. X = 16 b. x= 17 C. X= 15 d. x= 14 e. x= 22 f. x= 32 a. The z-score that corresponds to x = 16 is z= -2.75 (Round to two decimal places as needed.) b. The z-score that corresponds to x = 17 is z = -2.5. (Round to two decimal places as needed.) c. The z-score that corresponds to x = 15 is z = -3 (Round to two decimal places as needed.) d. The z-score that corresponds to x =14 is z=-3.25 (Round to two decimal places as needed.) e. The z-score that corresponds to x= 22 is z=-3.5. (Round to two decimal places as needed.) 1)

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E and f

Suppose the random variable \( x \) is best described by a normal distribution with \( \mu = 27 \) and \( \sigma = 4 \). Find the z-score that corresponds to each of the following x-values.

a. \( x = 16 \)  
b. \( x = 17 \)  
c. \( x = 15 \)  
d. \( x = 14 \)  
e. \( x = 22 \)  
f. \( x = 32 \)

---

a. The z-score that corresponds to \( x = 16 \) is \( z = -2.75 \).  
(Round to two decimal places as needed.)

b. The z-score that corresponds to \( x = 17 \) is \( z = -2.5 \).  
(Round to two decimal places as needed.)

c. The z-score that corresponds to \( x = 15 \) is \( z = -3 \).  
(Round to two decimal places as needed.)

d. The z-score that corresponds to \( x = 14 \) is \( z = -3.25 \).  
(Round to two decimal places as needed.)

e. The z-score that corresponds to \( x = 22 \) is \( z = -1.25 \).  
(Round to two decimal places as needed.)
Transcribed Image Text:Suppose the random variable \( x \) is best described by a normal distribution with \( \mu = 27 \) and \( \sigma = 4 \). Find the z-score that corresponds to each of the following x-values. a. \( x = 16 \) b. \( x = 17 \) c. \( x = 15 \) d. \( x = 14 \) e. \( x = 22 \) f. \( x = 32 \) --- a. The z-score that corresponds to \( x = 16 \) is \( z = -2.75 \). (Round to two decimal places as needed.) b. The z-score that corresponds to \( x = 17 \) is \( z = -2.5 \). (Round to two decimal places as needed.) c. The z-score that corresponds to \( x = 15 \) is \( z = -3 \). (Round to two decimal places as needed.) d. The z-score that corresponds to \( x = 14 \) is \( z = -3.25 \). (Round to two decimal places as needed.) e. The z-score that corresponds to \( x = 22 \) is \( z = -1.25 \). (Round to two decimal places as needed.)
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