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Chapter 6: Q. 24 (page 385)
Suppose X ~ N(9, 3). What is the z-score of x = 9?
The value of thescore is.
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What does a z-score measure?
If the area to the left of in a normal distribution is , what is the area to the right of ?
How would you represent the area to the left of one in a probability statement?
About what percent of values lie between the mean and three standard deviations?
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 1.5 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 X.
b. X ~ _____(_____,_____)
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 the children spend over ten hours per day unsupervised?
e. Seventy percent of the children spend at least how long per day unsupervised?
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