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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 1.96 is 0.975. Without further consulting Table II, determine the area under the standard normal curve that lies to the left of -1.96. Explain your reasoning.

12. Consider the normal curves that have the parameters μ=1.5and σ=3;μ=1.5and σ=6.2;μ=-2.7and σ=3;μ=0andσ=1.

a. Which curve has the largest spread?

b. Which curves are centered at the same place?

c. Which curves have the same spread?

d. Which curve is centered farthest to the left?

e. Which curve is the standard normal curve?σ

Obtain the z-score for which the area under the standard normal curve to its left is0.025.

Express thekth percentile, Pk, of a normally distributed variable in terms of its mean, μ, and standard deviation, σ.

Desert Samaritan Hospital in Mesa, Arizona, keeps records of emergency room traffic. Those records reveal that the times between arriving patients have a special type of reverse-J-shaped distribution called an exponential distribution. The records also show that the mean time between arriving patients is 8.78 minutes.

a. Use the technology of your choice to simulate four random samples of75 interarrival times each.

b. Obtain a normal probability plot of each sample in part (a).

c. Are the normal probability plots in part (b) what you expected? Explain your answer.
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