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Chapter 6: Q.6.5 (page 370)
Suppose has a normal distribution with mean and standard deviation of five. Between what values of do of the values lie
The range of value is .
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The heights of the National Basketball Association players were listed on team rosters at the start of the season. The heights of basketball players have an approximately normal distribution with mean, inches and a standard deviation, inches. For each of the following heights, calculate the z-score and interpret it using complete sentences
a. inches
b. inches
c. If an NBA player reported his height had a z-score of , would you believe him? Explain your answer
In China, four-year-olds average three hours a day unsupervised. Most of the unsupervised children live in rural areas, considered safe. Suppose that the standard deviation is hours and the amount of time spent alone is normally distributed. We randomly select one Chinese four-year-old living in a rural area. We are interested in the amount of time the child spends alone per day.
a. In words, define the random variable
b.
c. Find the probability that the child spends less than one hour per day unsupervised. Sketch the graph, and write the probability statement.
d. What percent of children spend over ten hours per day unsupervised?
e. Seventy percent of the children spend at least how long per day unsupervised?
A normal distribution has a mean of 61 and a standard deviation of 15. What is the median?
Terri Vogel, an amateur motorcycle racer, averages seconds per mile lap (in a seven-lap race) with a standard deviation of seconds. The distribution of her race times is normally distributed. We are interested in one of her randomly selected laps.
a. In words, define the random variable .
b. ,
c. Find the percent of her laps that are completed in less than seconds.
d. The fastest of her laps are under
e. The middle of her laps are from seconds to seconds.
SupposeBetween what values does of the data lie? The range of values is centered at the mean of the distribution(i.e., 鈥�3).
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