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1. National data show that, on average, college freshman spend 7.5 hours a week going to parties. President DeRosa doesn't believe that these figures apply at his school; he thinks freshman at his school party less. He takes a simple random sample of 50 freshmen and interviews them. He asks you to analyze his sample data. You determine that a 95% confidence interval for the mean number of hours freshmen spend each week going to parties is (5.7, 7.2).
(a) Explain to the President what is meant by the '95% confidence interval of (5.7, 7.2)
(b) The President wants to test the hypothesis that the mean for his school is different from the national mean at a 5% significance level. Specify the null and alternative hypotheses for this test.
(c) Which test procedure should he use to conduct this test? Why?
(d) Eager to gain favor with the president, you tell him that you can save him lots of time because, based on the confidence interval results already presented, you know what he will conclude and he doesn't have to perform any other calculations. Will he reject or fail to reject the null hypothesis at the 5% significance level? Explain.
The lifetimes of light bulbs of a particular type are normally distributed with a mean of 370 hours and a standard deviation of 5 hours. What percentage of bulbs has lifetimes that lie within 1 standard deviation of the mean on either side?
Assume the population standard deviation (s) is 0.5 and the sample size (n) is 100. Calculate the values for alpha, a type I error and beta, a type II error. (To calculate Beta, consider a mean that is 1 standard error away from the lower end valu..
Evaluate 2-month moving average and Exponential smoothing by MAD.
Four different paints are advertised as having the same drying time. To check the manufacturer's claims, five samples were tested for each of the paints.
A monthly report to the Texas Department of Health, division of Water Hygiene, contained the following water production data in thousands of gallons:
The Central Limit Theorem states that the sampling distribution of means is:
What is the underlying variable that indirectly correlates these 2 variables? What other variables could you identify as having an indirect relationship?
Suppose you study a random sample of 100 GRE verbal exams. Determine the probability that the average (mean) score in this sample will be between 485 and 515.
Researchers are studying the absorption of two drugs into the bloodstream. Each drug is to be injected at three dosages. There are 24 people in the study, and they are randomly divided into six groups.
Gas Station pump signs, at one chain, encourage customers to have their oil checked, claiming that one out of every four cars should have its oil topped.
In a certain city, there are 100,000 persons age 18 to 24. A simple random sample of 500 such persons is drawn, of whom 198 turn out to be currently enrolled in college.
Using the .05 significance level, can we conclude that there is a positive association between the two variables?
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