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Chapter 6: Q 19 (page 385)

Suppose X ~ N(4, 2). What value of x is 1.5 standard deviations to the left of the mean?

Short Answer

Expert verified

The value of x is 1

Step by step solution

01

Given Information

Given thatX~N(4,2)

We have to find the value of x 1.5 standard deviations to the left of the mean

02

Explanation

The value of z-score can be calculated as below:

z=x-渭蟽

Put the provided values in the above expression. Then,

-1.5=x-42

x-4=-1.5脳2

x=-3+4

x=1

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Most popular questions from this chapter

The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.3days and a standard deviation of 2.1days.

The 90thpercentile for recovery times is

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IQ is normally distributed with a mean of 100and a standard deviation of 15. Suppose one individual is randomly chosen. Let X=IQof an individual.

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d. The middle 50%of IQs fall between what two values? Sketch the graph and write the probability statement.

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What is the z-score of x, when x=1and X~N(12,3)?
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