Intro to Stat_Part_32

Intro to Stat_Part_32 - 110 CHAPTER 7 THE CENTRAL LIMIT...

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Unformatted text preview: 110 CHAPTER 7. THE CENTRAL LIMIT THEOREM a. When the sample size is large, the mean of X is approximately equal to the mean of X . b. When the sample size is large, X is approximately normally distributed. c. When the sample size is large, the standard deviation of X is approximately the same as the standard deviation of X . Exercise 7.3 (Solution on p. 118.) The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 36 and a standard deviation of about 10. Suppose that 16 individuals are randomly chosen. Let X = average percent of fat calories. a. X ~______ ( ______ , ______ ) b. For the group of 16, find the probability that the average percent of fat calories consumed is more than 5. Graph the situation and shade in the area to be determined. c. Find the first quartile for the average percent of fat calories. Exercise 7.4 Previously, De Anza statistics students estimated that the amount of change daytime statistics students carry is exponentially distributed with a mean of $0.88. Suppose that we randomly pick 25 daytime statistics students. a. In words, X = b. X ~ c. In words, X = d. X ~ ______ ( ______ , ______ ) e. Find the probability that an individual had between $0.80 and $1.00. Graph the situation and shade in the area to be determined. f. Find the probability that the average of the 25 students was between $0.80 and $1.00. Graph the situation and shade in the area to be determined. g. Explain the why there is a difference in (e) and (f). Exercise 7.5 (Solution on p. 118.) Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 250 feet and a standard deviation of 50 feet. We randomly sample 49 fly balls....
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Intro to Stat_Part_32 - 110 CHAPTER 7 THE CENTRAL LIMIT...

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