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1) A sample of 49 observations is taken from a normal population. The sample mean is 55 and the sample standard deviation is 10. Determine the 99% confidence interval for the population mean.
2) The Fox TV network is considering replacing one of its primetime crime investigation shows with a new family-oriented comedy show. Before a final decision is made, network executives commission a sample of 400 viewers. After viewing the comedy, 250 indicated they would watch the new show and suggested it replace the crime investigation show.
Gallup Polls When Gallup and other polling organizations conduct polls, they typically contact subjects by telephone. In recent years, many subjects refuse to cooperate with the poll.
What can you say about the effect of sample size on confidence intervals?
Using the .05 level of significance, what should we conclude about the theory that 24 hours is the natural cycle? (That is, does the average cycle length under these conditions differ significantly from 24 hours?)
Most traffic lights are set so that there is enough time for pedestrians to cross the road safely. A recent study indicates that a large number of elderly cannot get across the road in the usual 15 seconds allowed.
A manufacturer claims that the mean lifetime,M , of its light bulbs is 51 months. The standard deviation of these lifetimes is 9 months. Ninety bulbs are selected at random, and their mean lifetime is found to be 53 months.
A state survey investigates either the proportion of 8percent for employees who commute by car to work is higher than it was five years ago.
It is estimated that the probability that the general population will live past their 85th birthday is 5.4%. Use the standard normal distribution to approximate this Binomial problem and answer the following questions.
Use a 0.01 significance level to test the claim that most people believe that the Loch Ness monster exists. How is the conclusion affected by the fact that Internet users who saw the question could decide whether to respond.
Critically discuss the difference between the "skewedness" of the distribution of a dataset and its "kurtosis"? What is the expected value (EV) of an investment if there is a 20% chance of realizing a return of $20,000 or a 55% chance of realizing a..
A company must hire a new CFO and prepares a final list of five candidates - all are equally qualified. Two of the candidates are members of a minority of a minority group. To avoid bias in the selection of the candidate
A real estate agent in the coastal area of Georgia wants to compare the variation in the selling price of homes on the oceanfront with those one to three blocks from the ocean sample of 21 oceanfront homes sold within the last year revealed the st..
You attempt a 50 item (n = 50) true-and-false exam. You did not study for the material and your attempt to answer any item is a guess, with a 50% chance that you will get any item correct. You need a score of 30 or better to pass the exam.
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