Chapter 6: Q.6.50 (page 268)
With which normal distribution is the standard normal curve associated?
Chapter 6: Q.6.50 (page 268)
With which normal distribution is the standard normal curve associated?
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Get started for freeEach 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.
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 to identify any outliers.
c. Use partto assess the normality of the variable under consideration.
13. What key fact permits you to determine percentages for a normally distributed variable by first converting to scores and then determining the corresponding area under the standard normal curve?
Explain in detail what a normal probability plot is and how it is used to assess the normality of a variable.
Obtain the z-score that has an area to its left under the standard normal curve.
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