In: Statistics and Probability
.According to a recent random sample of 31 Canadian Football League players, the mean age was approximately 27.71 years with a variance of 2.59. Lonnie Lobowsky of the Yukon Argonauts has an age with z-score equivalent to 2.21. Determine his age.
A. 31
B. 37
C. 33
D. 35
E. 28
Solution :
Given that,
mean =
= 27.71
standard deviation =
=
2.59 = 1.61
n = 31
=
= 27.71
=
/
n = 1.61 /
31 = 0.29
z = 2.21
Using z-score formula
= z *
+
= 2.21 * 0.29 + 27.31
= 27.95
= 28
option E