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1) Kindly explain to me the importance of random sampling. What problems/limitations could prevent a truly random sampling and how can they be prevented
2) How large would a population have to be for a sample to be appropriate (i.e., rather than measuring the whole population)
A survey of undergraduate students in the School of Business at Northern University revealed the following regarding the gender and majors of the students:
Suppose we have observations x1, x2, . . . , xn. Prove that the sum of deviations of the observations from their arithmetic mean is always equal to zero.
How large sample should be selected in order to obtain p estimate with a bound of 0.08 on the error of estimation.
The length of a particular telemarketing phone call, x, has an exponential distribution with mean equal to 1.5 minutes.
A random sample of 80 voters found that 44% were going to vote for a certain candidate. Find the 90% limit for the population proportion of voters who will vote for that candidate?
Consumer products companies design different promotional activities to accomplish different goals. According to a spokesperson for General Mills, the company's cents-off coupon offers are designed to convince people to buy its products
A sample of 4 different calculators is randomly selected from a group containing 42 that are defective and 27 that have no defects. what is the probability that all four of the calculators selected are defective?
In the past, Judy Holmes's tire dealership sold an average of 1,000 radials each year. In the past two years, 200 and 250, respectively, were sold in fall, 350 and 300 in winter, 150 and 165 in spring, and 300 and 285 in summer.
Increasing the confidence-interval level from .95 to .99
Hypothesis test for difference between two population variances - compare the variation in the selling price of homes on the oceanfront with those one to three blocks from the ocean.
A researcher desires to estimate the difference in means of two populations. To accomplish this, she takes a random sample of 81 items from the first population.
What units represent the margin of error? Suppose you want to decrease the margin of error, but want to keep the 95% confidence interval. What do you need to do?
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