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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.
A study published in the New England Journal of Medicine (Aug. 2001) suggests that it's dangerous to enter a hospital on a weekend. During a 10-year period, researchers tracked over 4 million emergency admissions to hospitals in Ontario, Canada. T..
Do the confidence interval limits contain 98.6F? What does the sample suggest about the use of 98.6F as the mean body temp.
History suggests that the average number of hurricanes formed during a year is 6.0 hurricanes. Find the probability of at most three hurricanes being formed during a randomly selected year.
You decide to predict gasoline prices in different cities and towns in the U.S. for your term project. Your dependent variable is price of gasoline per gallon and your explanatory variables are per capita income
Suppose B^0 and B^1(beta hut 0 and beta hut 1) are the least squares estimates of B0 and B1 of the first model. Find the estimates of B0* and B1* in terms of B^0 and B^1.
30% of college freshmen support increased military spending. If 12 college freshmen are randomly selected, find the probability that more than 5 selected students support increased military spending.
What is coefficient of determination? Calculate F statistic. (Hint: You must complete the table to answer the question.)
A new president at Big State University has made student satisfaction with the enrollment and registrations process one of her highest priorities.
One school found that 28.6% of all students are liberal. You wonder whether this percentage is different at your school, but don't know whether it's higher or lower. What hypotheses will you test to see if your school significantly differs from th..
A filling machine in a brewery is designed to fill bottles with 355 ml of hard cider. In practice, however, volumes vary slightly from bottle to bottle. In a sample of 49 bottles, the mean volume of cider is found to be 354 ml, with a standard dev..
How large sample size must be taken to be 95% confident.
Give three logically possible directions of casualty, indicating for each direction whether it is a reasonable explanation for the correlation in light of the variables involved (and why).
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