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According to Investment Digest ("Diversification and the Risk/Reward Relationship", Winter 1994, 1-3), the mean of the annual return for common stocks from 1926 to 1992 was 19.4%, and the standard deviation of the annual return was 24.5%. During the same 67-year time span, the mean of the annual return for long-term government bonds was 5.5%, and the standard deviation was 6.0%. The article claims that the distributions of annual returns for both common stocks and long-term government bonds are bell-shaped and approximately symmetric. Assume that these distributions are distributed as normal random variables with the means and standard deviations given previously.
a. Find the probability that the return for common stocks will be greater than 8%.
b. Find the probability that the return for common stocks will be greater than 20%.
Ethics. The one-time fling! Have you ever purchased an article of clothing (dress, sports, jackets, etc.) worn the item once to a party, then returned the purchase?
Pilots who cannot maintain regular sleep hours due to their work schedule often suffer from insomnia. A recent study on sleeping patterns of pilots focused on quantifying deviations from regular sleep hours.
The best estimator or appreciative for the population proportion is 0.45. How large must the sample be?
A sample of 45 overweight men participated in an exercise program. At the conclusion of the program 32 had lost weight. At the .05 significance level, can we conclude the program is effective?
Does the sample provide sufficient evidence that the mean pH level in the water differs from 8.5? Conduct a test at the ? = .01 level. What are the upper and lower limits of the 95% confidence intervals?
Should Katie conduct a between-subject ANOVA or a within-subject ANOVA? Describe your answer.
Does drug have significant effect on aggression? Use an alpha level of .05, two tails.
A recent study, "[b]ased on data from a survey of nearly 1,500 Boston men aged 18 to 35 years...found that 16 percent of the men - about one in six -- said they had abused their partner physically or sexually within the past year.
What percentage of men are too tall to fit though a standard doorway without bending, and what percentage of women are too tall to fit through a standard doorway without bending?
Food intake and weight gain. If we increase our food intake, we generally gain weight. Nutrition scientists can calculate the amount of weight gain that would be associated with a given increase in calories.
Critically discuss the assumptions, if any, regarding a Chi-square test? What are the assumptions to apply linear regression?
A major problem resulting from the lack of randomization in a cohort study is: the possibility that a factor that led to the exposure, rather than the exposure itself, might have caused the disease.
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