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Chapter 7: Q.32 (page 429)
What is the z-score for 危x = 1,186?
The Z- score is approximately
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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.
Find the 90th percentile for the total weight of the 100 weights.
According to Boeing data, the airliner carries passengers and has doors with a height of inches. Assume for a certain population of men we have a mean height of inches and a standard deviation of inches.
a. What doorway height would allow of men to enter the aircraft without bending?
b. Assume that half of the passengers are men. What mean doorway height satisfies the condition that there is aprobability that this height is greater than the mean height of men?
c. For engineers designing the , which result is more relevant: the height from part a or part b? Why?
For the sums of distribution to approach a normal distribution, what must be true?
An unknown distribution has a mean of and a standard deviation of . A sample size of is drawn randomly from the population.
Find the probability that the sum of the values is greater than .
The length of time a particular smartphone's battery lasts follows an exponential distribution with a mean of ten months. A sample of 64 of these smartphones is taken.
What is the distribution for the length of time one battery lasts?
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