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A random sample of 85 group leaders, supervisors, and similar personnel revealed that on the average a person spent 6.5 years on the job before being promoted. The standard deviation of the sample was 1.7 years. Using the 0.95 degree of confidence, what is the confidence interval within which the population mean lies?
The project requires you forecast the historical data, replicating the appropriate trends, seasonalities, week-over-week variability, etc. Please refer to the chapter and materials on Forecasting for the procedures to do.
The scores are normally distributed with a mean of 165 and a standard deviation of 17. If only the top 20% of the soldiers are selected, what would the cutoff score be?
Clouds were randomly seeded or not with silver nitrate. Rainfall amounts were recorded from the clouds. The purpose of the experiment was to determine if cloud seeding increases rainfall. The following data is obtained:
Find the probability that follows Binomial distribution.
A normal population has a mean of 75 and a standard deviation of 5. You select a sample of 40. Compute the probability the sample mean is
A study is conducted to compare mean cholesterol levels for individuals following a low carbohydrate diet for at least 6 months to individuals following a conventional (low fat, low calorie )diet for at least 6 months.
With a selling price of 40 dollars each, how many pool cues must be sold to break even? What would the total revenue be at this break even point?
A p-value of 0.82 obtained for a particular hypothesis test would indicate strong evidence that the null hypothesis is true. Discuss.
Consider random variables X and Y with a joint pmf, given in the following table. Compute the conditional expectations E[X|Y = 1] and E[X|Y > 1].
Assume that each of the following studies cannot be analyzed using a parametric procedure. For each of the following studies (below), indicate the appropriate nonparametric procedure, and explain why you chose it.
Arbitarily sampling one man and one woman from this population, determine probability neither is a Tay-Sachs carrier? Compute the probability both are carriers?
Note that under the exponential assumption, P(X>t) = exp(-t/theta). If t=5, use the result from (a) to find an approximate one-sided lower 95% confidence limit for theta.
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