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Probability using normal distribution. 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 15.4 percent, and the standard deviation of the annual return was 24.5 percent. 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 percent. 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.
1. Find the probability that return for common stocks will be greater than 0 percent.
2. Find the probability that return for common stocks will be less than 20 percent.
Formulate the null and alternative hypotheses for this application.
Survey on What do you think is the biggest problem facing education today. One problem with exit polls may be that the wrong "key precincts" were chosen.
State the appropriate set of hypothesis to test whether there is a relationship between the variables X and Y.
At 1 excavation site 8641 pot shards have been found that have not presently been cleaned also identified. Define the probability.
Now he wants to know if there is a difference between the three formats. Is there?
What is the best prediction for the number of products sold based on advertising costs of $7000?
For each of the following problems, assume that the homogeneity of variance assumption has not been met and that you will need to use the adjusted Welch statistic.
What is the mean and standard deviation of the number preferring the incumbent and what is the probability that more than 68% will favor the incumbent?
At the end of 24 weeks of treatment, subjects were classified as responders or non-responders to treatment based on a battery of psychological tests.
Compute the probability that debt for a randomly selected borrower with good credit is more than $18,000?
What is an appropriate sample space for this experiment?
Let S = {c, h, j, q, t, y} be a sample space of an experiment and let E = {c, h}, F = {c, q, y}, and G = {h, j, t} be events of this experiment. (Enter your answers using roster notation. Enter Ø for the empty set.)
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