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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 15.4%, and the standard deviation of the annual return was 21.5%. 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 7.0%. 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 0%.
b. Find the probability that the return for common stocks will be less than 20%.
Which of the given properties doesn't apply to theoretical normal distribution?
The field of statistics can be roughly subdivided into two areas: descriptive statistics and probability.
An experiment was carried out to assess the effects of four tomato varieties and four planting densities on yield. There were 64 plots, and each of the 16 factor combinations was randomly assigned to 4 plots
Each vehicle had the gallon of gas added to the empty tank and then driven until empty. Number of miles travelled for all twelve readings are below. Use data to compute the mean and median mileages.
The daily numbers of calls received by the Internal Revenue Service office in July are shown below:
Run an ANOVA using only groups 1 to 6 (You can hide group 7 from the analysis by data followed by select cases and then you filter out group 7 by if GROUP~= ). Also run the posthoc tests LSD and Bonferroni.
Determine the dependent variable(s)? Determine the value of the statistic? Write down the name of one variable not mentioned in this study that one might wish to control for.
To demonstrate the process is in control or out of control utilizing p-chart. A company which produces nails has retained you as a consultant.
At.05 significance level, can we conclude that larger proportion of the agents think the economy is expanding this month?
Is the z value positive or negative? Explain why it should be positive or negative.
Run a multiple regression and interpret all the findings, R 2 , F, IV coefficients, and the intercept. Then in paragraph format, identify and report the following:
Compute the 95% confidence interval around the mean of each of the three groups and plot the confidence interval in the space provided above.
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