Chapter 6, Problem 11P

### Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570

Chapter
Section

### Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570
Textbook Problem

# A normal distribution has a mean of μ = 70 and a standard deviation of σ = 8. For each of the following scores, indicate whether the tail is to the right or left of the score and find the proportion of the distribution located in the tail.a. X = 72b. X= 76c. X = 66d. X = 60

a.

To determine

To find: The proportion of the distribution located at the tail when X=72.

Explanation

Given info: Score follows normal distribution with mean 70 and standard deviation 8. X score is 72.

Calculation:

Let μ and σ be the mean and standard deviation of score X respectively. Then,

μ=70σ=8

Let, p is the probability that score obtained is greater than 93 Then,

p=P(X>72)=1P(X>72)

b.

To determine

To Find: The proportion of the distribution located at the tail when X=76.

c.

To determine

To Find: The proportion of the distribution located at the tail when X=66

d.

To determine

To Find: The proportion of the distribution located at the tail when X=60

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