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1. A researcher believes that the average size of farms in the U.S. has increased from the 2002 mean of 471 acres. She took a sample of 23 farms in 2011 to test her belief and found a sample mean of 498.8 acres and a sample standard deviation of 46.9 acres. At a 5% level of significance, 1. A researcher believes that the average size of farms in the U.S. has increased from the 2002 mean of 471 acres. She took a sample of 23 farms in 2011 to test her belief and found a sample mean of 498.8 acres and a sample standard deviation of 46.9 acres. At a 5% level of significance, test the researcher's claim. What is your conclusion? 2. A study by Hewitt Associates showed that 79% of companies offer employees flexible scheduling. Suppose a researcher believes that in accounting firms this figure is lower. The researcher randomly selects 415 accounting firms and determines that 310 of these firms have flexible scheduling. At a 1% level of significance, does your test show enough evidence to conclude that a significantly lower percentage of accounting firms offer employees flexible scheduling? What is the p-value for this test? 3. The American Lighting Company developed a new light bulb that it believes will last at least 700 hours on average. A test is to be conducted using a random sample of 100 bulbs, and a 5% level of significance. Assume that the population standard deviation is 15 hours. What are the consequences of making a type II error? What is the probability of making a Type II error if the true population mean is 695 hours?
Is there evidence of difference in mean life of bulbs produced by the two kinds of machines. What is your conclusion?
What do you mean by degrees of feedom in statistics? Explain the concept of degrees of freedom for each of the following hypothesis tests.
Airlines must be careful about the total weight of baggage carried by a plane on a commercial flight. Passengers with items exceeding the maximum single-item weight (usually about 70 pounds) must pay a fee
Can we conclude that the mean age of the population from which the sample may be presumed to have been drawn is less than 60 years? Let α = .05
Choose one of these tests and describe in your own words, the purpose of the test, any particular assumptions or limitations pertaining to the test, and provide an example where you could employ the test.
An office manager wishes to estimate the mean time required to handle customer complaints. A sample of 38 complaints shows a mean time of 28.7 minutes with a standard deviation of 12 minutes.
If the proposed textbook receives a favorable review, how should the editor revise the probabilities of the various outcomes to take this information into account?
A suburban hotel derives its gross income from its hotel and restaurant operations. The owners are interested in the relationship between the number of rooms occupied on a nightly basis and the revenue per day in the restaurant.
Another location if it meant a substantial promotion. Based on these findings, write a brief note to management regarding all executives in the firm.
How would your colleagues probably react to such a statement of yours? Is their expected (positive or negative) reaction the local cultural habit in your company or is it a wider position common for people in your country?
What percent of the SAT verbal scores are less than 675? If 1000 SAT verbal scores are randomly selected about how many would you expect to be greater than 575?
In testing whether each of the independent variables (Xs) in a multiple regression equation is statistically significant in explaining the dependent variable (Y), one uses the:
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