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Chapter 6: Q. 18 (page 287)

18. Roughly speaking, what are the normal scores corresponding to a sample of observations?

Short Answer

Expert verified

Simply subtract the mean score from the standard deviation to receive a score.

Step by step solution

01

Concept Introduction

Normal scores are calculated by dividing a data set's ranks by a standard normal quantile amount.

Alternatively, the standard z-score can be referred to as the normal score.

02

Explanation

Take into account the sample of observations' normal scores.

The predicted observations for a variable with the same sample size and standard normal distribution are called normal scores.

It's just a score that's less than the mean score divided by the standard deviation.

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Most popular questions from this chapter

According to Table II, the area under the standard normal curve that lies to the left of -2.08 is 0.0188. Without further consulting Table II, determine the area under the standard normal curve that lies to the right of 2.08. Explain your reasoning.

Booted Eagles. The rare booted eagle of western Europe was the focus of a study by S. Suarez et al. to identify the optimal nesting habitat for this raptor. According to their paper "Nesting Habitat Selection by Booted Eagles (Hieraaefus pennatus) and Implications for Management" (Journal of Applied Ecology, Vol. 37. pp. 215-223). the distances of such nests to the nearest marshland are normally distributed with a mean 4.66kmand a standard deviation 0.75km. Let Ybe the distance of a randomly selected nest to the nearest marshland.

Determine and interpret

a. P(Y>5).

b. P(3鈮�Y鈮�6).

Obtain the following z-scores

a. z0.20

b.z0.06

DetermineZ0.015

Define

a. Normally distributed variable.

b. Normally distributed population.

c. Parameters for a normal curve.
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