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Chapter 6: Q. 23 (page 385)
Suppose X ~ N(12, 6). What is the z-score of x = 2?
The value of the score is
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Suppose that Ricardo and Anita attend different colleges. Ricardo's GPA is the same as the average GPA at his school. Anita's GPA is standard deviations above her school average. In complete sentences, explain why each of the following statements may be false.
a. Ricardo's actual GPA is lower than Anita's actual GPA.
b. Ricardo is not passing because his -score is zero.
c. Anita is in the percentile of students at her college.
What is the area to the right of one?
What does a z-score measure?
The length of time it takes to find a parking space at 9 A.M. follows a normal distribution with a mean of five minutes and a standard deviation of two minutes.
Find the probability that it takes at least eight minutes to find a parking space.
a. 0.0001
b. 0.9270
c. 0.1862
d. 0.0668
Facebook provides a variety of statistics on its Web site that detail the growth and popularity of the site.
On average, 28 percent of 18 to 34 year olds check their Facebook profiles before getting out of bed in the morning. Suppose this percentage follows a normal distribution with a standard deviation of five percent.
a. Find the probability that the percent of 18 to 34-year-olds who check Facebook before getting out of bed in the morning is at least 30 .
b. Find the percentile, and express it in a sentence.
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