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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?
Find the area between the graphs of the functions y1 (x) = x ln x and y2 (x) = -4 exp(3ln x) in the interval between the points x1 = 1 and x2 = e.
So construct a multiple regression model for predicting the crime rate based upon various explanatory variables unemployment rate, median income, education level.
A telephone manufacturer wants its telescope to have standard deviation in resolution to be significantly below 2 when focusing on object 500 light-years away.
Produce the summary output and give the estimated equation for your chosen model and find a suitable regression model to predict y2 using x2 as an explanatory variable. Comment on the output used and justify your choice of model.
For many years, TV executives used the guideline that 30 percent of the audiences were watching each of the prime-time networks and the 10 percent were watching cable stations on a weekday night. A random sample of 500 viewers in the Tampa - St.
Determine the special property of standard normal distribution, compared to other normal distributions?
What is the probability that the interpupillary distance for a randomly selected male will be between 64 and 67 mm and What is the standard deviation of the sample mean
Compare the margin of error for the interval estimates in parts (a), (b), and (c). The margin of error (Increases or Decreases) as p-bar gets smaller.
Where is the flaw and how can it be fixed? If R^2 is taken as a model for the Euclidean plane, does this help resolve the difficulty? Explain.
Based on the Correlation following are Multiple choices question. If the correlation coefficient among two variables is equal to zero, what can be said of the variables X and Y.
Suppose we have the following information from a single regression: What is the coefficient of determination? What is the correlation coefficient?
A sample of n = 25 scores has a mean of M = 40 and a variance of s2 = 100. If this sample is being used to test a null hypothesis stating that m = 43, then what is the tstatistic for the sample?
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