Chapter 6: Q.6.1 (page 367)
What is the -score of , when and ?
Short Answer
The value of the -score for isrole="math" localid="1648286217464" .
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Chapter 6: Q.6.1 (page 367)
What is the -score of , when and ?
The value of the -score for isrole="math" localid="1648286217464" .
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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?
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
About what percent of values lie between the mean and three standard deviations?
The scores on a college entrance exam have an approximate normal distribution with mean, points and a standard deviation, points.
a. About of the values lie between what two values? These values are ________________. The -scores are ________________, respectively.
b. About of the values lie between what two values? These values are ________________. The -scores are ________________, respectively.
c. About of the values lie between what two values? These values are ________________. Thescores are ________________, respectively.
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of feet and a standard deviation of feet.
a. If distance in feet for a fly ball, then (------)
b. If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than feet? Sketch the graph. Scale the horizontal axis . Shade the region corresponding to the probability. Find the probability.
c. Find the percentile of the distribution of fly balls. Sketch the graph, and write the probability statement.
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