Chapter 7: Q.29 (page 429)
An unknown distribution has a mean of and a standard deviation of six. Let = one object from this distribution. What is the sample size if the standard deviation of is ?
Short Answer
The sample size is.
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Chapter 7: Q.29 (page 429)
An unknown distribution has a mean of and a standard deviation of six. Let = one object from this distribution. What is the sample size if the standard deviation of is ?
The sample size is.
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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.
Find the 80th percentile for the total length of time 64 batteries last .
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?
Men have an average weight of pounds with a standard deviation of pounds.
a. Find the probability that randomly selected men will have a sum weight greater than lbs.
b. If men have a sum weight greater than lbs, then their total weight exceeds the safety limits for water taxis. Based on (a), is this a safety concern? Explain.
Certain coins have an average weight of grams with a standard deviation of g. If a vending machine is designed to accept coins whose weights range from g to g, what is the expected number of rejected coins when randomly selected coins are inserted into the machine?
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.
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