Chapter 6: Q 18 (page 385)
Suppose X ~ N(2, 3). What value of x has a z-score of –0.67?
Short Answer
The value of x is
Chapter 6: Q 18 (page 385)
Suppose X ~ N(2, 3). What value of x has a z-score of –0.67?
The value of x is
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The patient recovery time from a particular surgical procedure is normally distributed with a mean of days and a standard deviation of days.
The percentile for recovery times is
a. 8.89
b. 7.07
c. 7.99
d. 4.32
Use the following information to answer the next two exercises: The life of Sunshine CD players is normally distributed with mean of 4.1 years and a standard deviation of 1.3 years. A CD player is guaranteed for three years. We are interested in the length of time a CD player lasts.
In , students took the SAT exam. The distribution of scores in the verbal section of the SAT had a mean and a standard deviation . Let X = a SAT exam verbal section score in . Then . Find the z-scores for and. Interpret each z-score. What can you say about and as they compare to their respective means and standard deviations ?
About what percent of the x values from a normal distribution lie within two standard deviations (left and right) of the mean of that distribution?
In a normal distribution, x = 3 and z = 0.67. This tells you that x = 3 is ____ standard deviations to the ____ (right or left) of the mean.
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