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Chapter 6: Q 16 (page 385)

Suppose X ~ N(8, 1). What value of x has a z-score of –2.25?

Short Answer

Expert verified

The value of xis5.75

Step by step solution

01

Given Information

Given that, z=-2.25. And,

X~N(8,1)Where,

μ=8

σ=1

We have to find the value ofx

02

Explanation

The value ofz-score can be calculated as below:

z=x-μσ

Put the provided values in the above expression. Then,

-2.25=x-81

x-8=-2.25×1

x=-2.25+8

x=5.75

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Most popular questions from this chapter

About what percent of xvalues lie between the first and second standard deviations from the mean (both sides)?

About what percent ofx values lie between the mean and one standard deviation?

a. Suppose a 15 to 18-year-old male from Chile was 176cm tall from 2009to 2010. The z-score when x=176 cm isz= _______. This z-score tells you that x=176cm is ________ standard deviations to the ________ (right or left) of the mean _____ (What is the mean?). b. Suppose that the height of a 15 to 18-year-old male from Chile from2009 to 2010 has a z-score of z=–2. What is the male’s height? The z-score(z=–2) tells you that the male’s height is ________ standard deviations to the __________ (right or left) of the mean.

The length of time to find it takes to find a parking space at 9 A.M. follows a normal distribution with a mean of five minutes and a standard deviation of two minutes. If the mean is significantly greater than the standard deviation, which of the following statements is true?

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