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You conduct a study to see if males and females differ on their levels of math anxiety. All participants (30 males and 30 females) completed a math anxiety test and you compared the two groups using an independent measures t-test, and hypothesized there will be a difference (not stating if one will be better or worse, thus, it is a non-directional hypothesis). You select your alpha level at α = .05 and do a two-tailed test. The effect size obtained was moderate (medium) at d = .50. How much power did your study have? Is this an acceptable amount of power to confidently reject the null (and say there truly is a difference)? If yes, good. If no, how could you fix it so that you at least reach 80% power (or more)?
Heights X of adult men are normally distributed with mean 69.1 inches and standard deviation 2.92 inches. Juliet, who is 63.25 inches tall.
a company is studying the feasibility of buying an elevator for a building under construction. one proposal is a
Is the quality of a car affected by what day it was built? A car manufacturer examines a random sample of the warranty claims filed over the past two years to test whether defects are randomly distributed across days of the work week.
One sided or two? In each of the following situations, is the alternative hypothesis one-sided or two-sided? What are the hypotheses?
Let X1, ..., Xn be i.i.d. binary random variables with P(Xi = 1) = p ? (0, 1).
Suppose a bookie will give you $6 for every $1 you risk if you pick the winner in 3 ballgames. For every $1 bet, you either lose $1 or gain $6. What is the bookie's expected earnings per dollar wagered?
We wish to measure the average prevalence of a chemical in the population. The measurement is done by a blood test.
The project will produce cash inflows of $8,000 a year for the first two years and $12,000 a year for the following three years. What is the payback period?
As this chapter is being written, March Madness, the final championship series in college basketball in the United States, is in full swing.
What is the probability of taking out two blue marbles and one green marble?
Thus, depending on the value of the correlation coefficient ρ, the joint PDF of X1 and X2 may resemble one of the graphs of Figure 4.5 with X1 = X and X2 = Y.
In studies for a medication, 13 percent of patients gain weight as a side effect. suppose 514 patients are randomly selected. Use the normal approximations to the binomial to approximate probability that
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