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Chapter 6: Q 17 (page 385)

Suppose X ~ N(9, 5). What value of x has a z-score of 鈥�0.5?

Short Answer

Expert verified

The value of xis 6.5

Step by step solution

01

Given Information

Given that,z=-0.5And,

X~N(9,5)Where,

渭=9

蟽=5

We have to find the value of x

02

Explanation

The value ofz-score can be calculated as below:

z=x-渭蟽

Put the provided values in the above expression. Then,

-0.5=x-95

x-9=-0.5脳5

x=-2.5+9

x=6.5

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Most popular questions from this chapter

Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 250 feet and a standard deviation of 50 feet.

a. If X=distance in feet is for a fly ball, then X~

b. If one fly ball is randomly chosen from this distribution, what is the probability that this ball will travel fewer than 220 feet? Sketch the graph. Scale the horizontal axis XShade the region corresponding to the probability. Find the probability.

c. Find the 80ithpercentile of the distribution of fly balls. Sketch the graph, and write the probability statement.

A The distance of fly balls hit to the outfield in baseball is denoted as: N~N(250,50)

B: The probability that a randomly selected fly ball traveled fewer than 220 feet is given by P(x<220)=0.2743

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