Chapter 7: Q.27 (page 429)
In order for the sums of distribution to approach a normal distribution, what must be true?
The sample size,gets larger.
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Find the percentage of sums between 1.5 standard deviations below the mean and one standard deviation above the mean.
A uniform distribution has a minimum of six and a maximum of ten. A sample of is taken.
Find .
The distribution of income in some Third World countries is considered wedge shaped (many very poor people, very few middle income people, and even fewer wealthy people). Suppose we pick a country with a wedge shaped distribution. Let the average salary be per year with a standard deviation of . We randomly survey residents of that country.
a. In words,
b. In words,
c.
d. How is it possible for the standard deviation to be greater than the average?
e. Why is it more likely that the average of the residents will be from to than from ?
According to the Internal Revenue Service, the average length of time for an individual to complete (keep records for, learn, prepare, copy, assemble, and send) IRS Form is hours (without any attached schedules). The distribution is unknown. Let us assume that the standard deviation is two hours. Suppose we randomly sample taxpayers.
a. In words,
b. In words,
c.
d. Would you be surprised if the taxpayers finished their Form s in an average of more than hours? Explain why or why not in complete sentences.
e. Would you be surprised if one taxpayer finished his or her Form in more than hours? In a complete sentence, explain why.
Suppose that it is past noon on a delivery day, The probability that a person must wait at least one and half more hours is;
a.
b.
c.
d.
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