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In a multiple regression with 40 observations, the following sample regression equation is obtained: y = 12.8 + 2.6x1 - 1.2x2 with se = 5.84. Also, when x1 equals 15 and x2 equals 6, se(y0) = 2.20.
a. Construct a 95% confidence interval for E(y) if x1 equals 15 and x2 equals 6.
b. Construct a 95% prediction interval for y if x1 equals 15 and x2 equals 6.
c. Which interval is wider? Explain.
A researcher wants to determine if different forms of regular exercise alter HDL levels in obese middle aged males between the ages of 35 and 45. What is the null hypothesis equation for this experiment
In a study of weight loss, two educational methods were tested to see if they resulted in the same weight loss among the subjects.
When a directional hypothesis is being tested and the rejection region is on the right of the mean, then the alternate hypothesis must be of the form:
Need to find the value of the Test Statistic and calculate the mean squares for regression and error for the following:
Ffinding that the mean sodium content is 324 mg, with a standard deviation of 35 mg. Find a 95 % confidence interval for the mean sodium content of this brand of hotdog.
A standard deviation of 1.5. The distribution is normal. What proportion of faculty consume an amount between 4 & 6 cups?
a computer program can make calls to two subroutines a and b. in a randomly chosen run let x be the number of calls to
Microlenders are institutions that lend relatively small amounts of money to businesses. An article on microlenders compared the average return on equity.
Illustrative Example 1 of this section dealt with a random sample of size n = 2 from a gamma distribution with « = I, fJ = 6. Thus the m.g.f. of the distribution is (I - 8t>- 1, t l /8, 8 > 2. Let Z = X1 + X2
customers arrive at the atm at the rate of 12 customers per hour and spend 2 minutes on average on all the
Assume that a distribution of data is normally distributed. For a sample size n = 7, by using a sample mean, which distribution would you employ (t or Z) to make an inference about a population?
find expected gain or loss for a holder of a european call option with strike price 90 to exercised in 6 months if the
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