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Chapter 7: Q.17 (page 428)
Find the probability that the sum of the values is less than 3900.
The probability that the sum of the values is less than isrole="math" localid="1648552619706" .
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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.
a. If the average distance in feet for 49 fly balls, then
b. What is the probability that the 49 balls traveled an average of fewer than 240 feet? Sketch the graph. Scale the horizontal axis for. Shade the region corresponding to the probability. Find the probability.
c. Find the percentile of the distribution of the average of 49 fly balls.
An unknown distribution has a mean of 19 and a standard deviation of 20. Let X = the object of interest. What is the sample size if the mean of 危X is 15,200?
A manufacturer produces 25-pound lifting weights. The lowest actual weight is 24 pounds, and the highest is 26 pounds. Each weight is equally likely so the distribution of weights is uniform. A sample of 100 weights is taken.
a) What is the distribution for the sum of the weights of 100 25-pound lifting weights?
b) Find P(危x < 2,450).
Find the percentage of sums between 1.5 standard deviations below the mean and one standard deviation above the mean.
82. Would you be surprised, based upon numerical calculations, if the sample average wait time (in minutes) for 100 riders was less than 30 minutes?
a. yes
b. no
c. There is not enough information.
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