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Chapter 7: Q.22 (page 428)
An unknown distribution has a mean 12 and a standard deviation of one. A sample size of is taken.
Let = the object of interest.
What is the mean of ?
The mean of.
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NeverReady batteries has engineered a newer, longer lasting AAA battery. The company claims this battery has an average life span of hours with a standard deviation of hours. Your statistics class questions this claim. As a class, you randomly select batteries and find that the sample mean life span is hours. If the process is working properly, what is the probability of getting a random sample of batteries in which the sample mean lifetime is hours or less? Is the company鈥檚 claim reasonable?
A uniform distribution has a minimum of six and a maximum of ten. A sample of is taken.
Find the th percentile for the sums.
Use the information in Example \(7.9\), but change the sample size to \(144\).
a. Find \(P(20<\bar{x}<30)\).
b. Find \(P(\sum x\) is at least \(3,000)\).
c. Find the \(75th\) percentile for the sample mean excess time of \(144\) customers.
74. Suppose that the weight of open boxes of cereal in a home with children is uniformly distributed from two to six pounds with a mean of four pounds and a standard deviation of 1.1547. We randomly survey 64 homes with children.
a. In words, X=
b. The distribution is
c. In words, =
d.
e. Find the probability that the total weight of open boxes is less than 250 pounds.
f. Find thepercentile for the total weight of open boxes of cereal.
Find the probability that the average price for gas stations is less than .
a.
b.
c.
d.
e.
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