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You collect a sample of 100 observations on monthly spending on fast food. The sample mean is $96 and the sample variance is 400. Test the null hypothesis that the population mean is $100. Show your work.
Distinguish between a minimization and maximization LP model. Other than minimizing costs and maximizing profits, give a real-world example of where you would want to minimize something or maximize something.
Assume a sample size of n=20. Draw a picture of the distribution of the t statistics under the null hypothesis. Use the t distribution critical values (upper-tail p) table.
Assume 41% of all American adults have some college education. American adult is randomly selected. Determine the probability that adult owns stock or has some college education?
Illustrate how critical values associate to the confidence interval using example variable. Explain how margin of error associates to confidence intervals and to ecology.
Simplify the principal square root of 64 z^4. Assume that z represents a positive real number.
Find a 95% confidence interval for the mean dielectric strength of the oil.
If the Consumer Price Index in June 2006 was 159.3 (1982-84=100), what does this indicate about prices from 1982-84 to June 2006?
Define Yt = et for t not= 1 and Yt = 1/sqrt2 (e_t-1_squared - 1) for t=1. Show that Yt is a white noise process despite the fact that Y1 is perfectly predictable from the earlier observation.
Box 1 has 3 chips numbered 1,2,3. Box 2 has 2 chips numbered 1 and 2. Suppose a chip is randomly selected from box 1 and placed in box 2.
A research analyst regresses the number of calls for service (Y) on the Fahrenheit temperature at 4:00 in the afternoon (X). The regression equation finds: Y = 62 + 2.4 X with an r 2 of .67
Research question: Are mean crash damages same for these 3 vehicles? Crash1 Crash Damage ($).
Cardio-Pulmonary Resuscitation (CPR). In 180 days of school, about how many days can we expect that the teacher on bus duty will likely be certified in CPR?
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