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Chapter 6: Q.6.122 (page 283)

We have provided a normal probability plot of data from a sample of a population. In each case, assess the normality of the variable under consideration.

Short Answer

Expert verified

There are no outliers in the data, and the data is normal.

Step by step solution

01

Given Information

Consider the probability of the normalcy plot.

02

Explanation

The data is distributed along a straight line, according to the specified normality probability plot. The plot follows a somewhat straight line.

As a result, the data is normal and there are no outliers.

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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.

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.

(a)

In the article "Material Culture as Memory: Combs and Cremations in Early Medieval Britain" (Early Medieval Europe, Vol. 12, Issue 2, pp. 89-128). H. Williams discussed the frequency of cremation burials found in 17 archaeological sites in eastern England. Here are the data.

a. Obtain a normal probability plot of the given data.

b. Use part (a)to identify any outliers.

c. Use partto assess the normality of the variable under consideration.

Philosophical and health issues are prompting an increasing number of Taiwanese to switch to a vegetarian lifestyle. In the paper "LDL of Taiwanese Vegetarians Are Less Oxidizable than Those of Omnivores" (Journal of Nutrition, Vol. 130, Pp. 1591-1596), S. Lu et al. compared the daily intake of nutrients by vegetarians and omnivores living in Taiwan. Among the nutrients considered was protein. Too little protein stunts growth and interferes with all bodily functions; too much protein puts a strain on the kidneys, can cause diarrhea and dehydration, and can leach calcium from bones and teeth. The daily protein intakes, in grams, for 51 female vegetarians and 53 female omnivores are provided on the Weiss Stats site. Use the technology of your choice to do the following for each of the two sets of sample data.

a. Obtain a histogram of the data and use it to assess the (approximate) normality of the variable under consideration.

b. Obtain a normal probability plot of the data and use it to assess the (approximate) normality of the variable under consideration.

c. Compare your results in parts (a) and (b).

Find the z-score that has an area of 0.75 to its left under the standard normal curve.
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