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Investment A has an expected return of $25 million and investment B has an expected return of $5 million. Market risk analysts believe the standard deviation of the return from A is $10 million, and for B is $30 million (negative returns are possible). (A) If you assume returns follow a normal distribution, which investment would give a better chance of getting at least a $40 million return? Explain. (B) How could your answer to part (A) change if you knew returns followed a skewed distribution instead of a normal distribution? Explain.
Suppose that the thermometer readings are normally distributed with mean of 0° C and a standard deviation of 1.00° C. A thermometer is randomly selected and tested.
Compute SS, variance, and standard deviation for following population of N = 7.Scores: 8, 1, 4, 3, 5, 3, and 4. The definitional formula works well with these scores. Use the definitional formula to compute SS.
The grade point average of the students at UTC is 2.80 with a standard deviation of 0.84. The grade point average of students at UTK is 2.4 with a standard deviation of 0.84. Which university shows a more dispersed grade distribution?
Suppose an appliance manufacturer is doing a regression analysis,using quarterly time-series data, of the factors affecting its sales of appliances.
There are 4 samples of 40 individuals each interviewed to find out how often they visit a fast food restaurant in the week.
Construct a 95% confidence interval for the difference in the proportions of women and men who have regular exercise programs.
14 machines are planned to be used for a 60-day production run for a customer. The operating time is 1660 hours. Upon failure, a machine must be returned to the manufacturer for repair.
Find out the test statistic P-value, and critical value, and state the final conclusion. The mean IQ score of statistic professors is less than 120. Sample data: n = 46. Suppose that = 17, and the significance level is = 0.05.
You are the designer for your company's web site. You have data to indicate that the mean download time for the homepage is 5.8 seconds and that the standard deviation of download time is 2.1 seconds.
Use the normal approximation to estimate the probability of at least one disaster in 25 missions.
If the mean IQ of all Omega University students was equal to 115, and a small random sample of students was selected from the population whose mean IQ was 120, then this difference of 5 points would equal the:
Correlation based on Scatter Plot - Draw the scatter plot for the variables.
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