Chapter 6: Q. 6.56 (page 268)
Why is the standard normal curve sometimes referred to as the z-curve?
Short Answer
In the standard normal curve, a dummy variable has been used. So, it referred to as the z-curve.
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Chapter 6: Q. 6.56 (page 268)
Why is the standard normal curve sometimes referred to as the z-curve?
In the standard normal curve, a dummy variable has been used. So, it referred to as the z-curve.
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28. Verbal GRE Scores. The Graduate Record Examination (GRE) is a standardized test that students usually take before entering graduate school. According to the document GRE Guide to the Use of Scores, a publication of the Educational Testing Service, the scores on the verbal portion of the GRE have mean points and standard deviation points. Assuming that these scores are (approximately) normally distributed,
a. obtain and interpret the quartiles.
b. find and interpret the 99th percentile.
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.

Gibson Song Duration. A preliminary behavioral study of the Jingdong black gibbon, a primate endemic to the Wuliang Mountains in China, found that the mean song bout duration in the wet season is 12.59 minutes with a standard deviation of 5.31 minutes. [SOURCE: L. Shecran et al.. "Preliminary Report on the Behavior of the Jingdong Black Gibbon. Tropical Biodiversity, Vol, 5(2). Pp. 113-125] Assuming that song bout is normally distributed, determine the percentage of song bouts that have durations within
a. one standard deviation to either side of the mean.
b. two standard deviations to either side of the mean.
C. three standard deviations to either side of the mean.
The following table provides the daily charges, in dollars, for a sample of 15 hotels and motels operating in South Carolina. The data were found in the report South Campina Statistical Abstract, sponsored by the South Carolina Budget and Control Board.

a. Obtain a normal probability plot of the given data.
b. Use part to identify any outliers.
c. Use partto assess the normality of the variable under consideration.
Each year, thousands of high school students bound for college take the Scholastic Assessment Test (SAT). This test measures the verbal and mathematical abilities of prospective college students. Student scores are reported on a scale that ranges from a low of to a high of . Summary results for the scores are published by the College Entrance Examination Board in College Bound Seniors. In one high school graduating class, the SAT scores are as provided on the WeissStats site. Use the technology of your choice to answer the following questions.
a. Do the SAT verbal scores for this class appear to be approximately normally distributed? Explain your answer.
b. Do the SAT math scores for this class appear to be approximately normally distributed? Explain your answer.
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