Homework Assignment #2 15 Points Possible Show all work. 1. Say you have a distr

Question

Homework Assignment #2 15 Points Possible Show all work. 1. Say you have a distribution with a mean 25.7 and a standard deviation 5.2. Calculate the z-scores for the following X-values. a, x=21.6 b, X= 28.7 c. The mean 2. Using the standard normal table, find the proportions for the areas listed below. a. What is the proportion below (to the left) of z - 1.67? b. What is the proportion to the right of z-1.59 c. What z-score places 0934 in the left tail? d. What z-score places.0350 in the right tail?

Explanation / Answer

Solution:

1)

Given mean =25.7
Standard deviaition = 5.2

To calculate z-scores
a) X=21.6

Formulae: z = x – /

z =21.6-25.7 /5.2
= -0.7884

b) X= 28.7

z= 28.7 -25.7/5.2
=0.5769

c) mean = x = 25.7

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