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Systematic random samples. Systematic random samples are often used at the last stage of a multistage sample to choose a sample of apartments in a large building or dwelling units in a block. An example will illustrate the idea of a systematic sample. Suppose that we must choose 4 addresses out of 100. Because 100/4 = 25, we can think of the list as four lists of 25 addresses. Choose 1 of the first 25 at random, using Table B. The sample contains this address and the addresses 25, 50, and 75 places down the list from it. If 13 is chosen, for example, then the systematic random sample consists of the addresses numbered 13, 38, 63, and 88.
(a) A study of dating among college students wanted a sample of 200 of the 9000 single male students on campus. The sample consisted of every 45th name from a list of the 9000 students. Explain why the survey chooses every 45th name.
(b) Use Table B at line 115 to choose the starting point for this systematic sample.
Would you expect the mean absolute percentage error to be more than or less than 0.25? Describe.
Find out the upper and lower bounds on average life expectancy of the Canadian women such that at least 90% of all population is included.
When no natural gas is present the test is accurate 90% of the time. Find the best set of decision for the landowner to maximize her profit.
Cereal again. The correlation between a cereal s fiber and potassium contents is r = 0.903. What fraction of the variability in potassium is accounted.
45% of the students at U of M do neither have a tattoo nor a body piercing (other than an ear piercing). 40% of the students at U of M have a tattoo. 30% of the students at U of M have a body piercing
The thing I like least about the weekend is Sunday evening. It's the furthest point away from Friday, but it's also the closest point to yet another Monday.
The grades on a chemistry midterm at Talladega College are normally distributed with M=78 and σ = 6.2. John scored 72 on the exam.- Find the z-score for John's exam grade.- What does this answer mean?
International Business Methods Snyder Golf Co., a U.S. firm that sells high-quality golf clubs in the United States, wants to expand internationally by selling the same golf clubs in Brazil.
A random sample of 61 accounts were checked. The standard deviation was $286.20. At α= 0.01, test the firms' assumption. Assume the account balances are normally distributed.
A medical researcher wants to know how lifetime sun exposure affects the risk of skin cancer for persons over 50 years old.
Use the fact that the sum of independent normal random variables is normally distributed, with mean equal to the sum of the individual means and variance equal.
Use the correct formula to find the probability that, out of 45 houses, exactly 4 of the houses will be burglarized. Show your calculations or explain how you found the probability.
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