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Chapter 6: Q. 16 (page 287)

What does the symbol zαsignify?

Short Answer

Expert verified

The symbol zαcorresponds to the z-score.

Step by step solution

01

Given Information

To clarify the meaning of the symbolzα.

02

Explanation

Imagine the symbol zα,

Under the standard normal curve, the z-score is denoted by the symbol zα, which has the area αto its right as well.

Above is a diagram showing the area under the curve on the right side.

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Most popular questions from this chapter

27. Lower Limb Surgery. The study "Intrathecal Sufentanil versus Fentanyl for Lower Limb Surgeries - A Randomized Controlled Trial" (Journal of Anesthesiology Clinical Pharmacology, Vol. 27 . Issue 1. pp. 67-73) by P. Motiani et al. compares two different agents, intrathecal Sufentanil and fentanyl, used in enhancing the anesthesiology of patients receiving major lower limb surgery. One variable compared between the two agents was the amount of blood loss during the surgery. Based on the study, we will assume that using fentanyl, the amount of blood loss during major lower limb surgery is normally distributed with mean 283.3mland standard deviation 83.3ml. Find the percentage of patients whose amount of blood loss during major lower limb surgery using fentanyl is

a. Less than 304ml.

b. Between 221and429ml

c. More than450ml.

Explain why the percentage of all possible observations of a normally distributed variable that lie within two standard deviations to either side of the mean equals the area under the standard normal curve between -2and2.

Obtain the z-score that has an area of 0.95 to its right.

Find the following z-scores.

a. Z0.03

b.z0.005

Identify the distribution of the standardized version of a normally distributed variable.
See all solutions

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