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Suppose that an object is 10 inches long and suppose that a measuring device gives the readings 7 inches with probability 1/4, 9 inches with probability 1/4, 11 inches with probability 1/4 and 13 inches with probability 1/4. Write down all 16 possible ways that two measurements can turn out. Put a check mark by those possibilities where one measurement is above 10 and the other measurement is below 10, i.e. where high measurements tend to cancel low measurements. Use these possibilities to compute the distribution of when n = 2(i.e., find , , etc.).
Find an unbiased estimator of mp(1 - p)/n. Find the optimal estimator using the Rao-Blackwell Theorem.
Based on this sample information find out what percent of variation in starting salaries is described by GPA, and find out the equation that would forecast salary from GPA. Give a scatter plot.
Explain the difference between the null and alternative hypothesis. Which one can be proven in a statistical sense?
Compute Pearson's correlation coefficient between age and amount spent on this particular product.
The amount of time ships spend at the Philadelphia dockyard follows an exponential distribution and the average time spent in the dockyard is 3.1 days.
If 1 man aged 18-24 is arbitrarily chosen, determine the probability that his serum cholesterol level is between 165 and 200.
Identify at least 2 variables for which you would utilize a repeated-measures ANOVA in your analysis. Describe the variables and their scale of measurement.
Three companies are attempting to sell you a pollution reduction additive to your chemical waste. Given limited resources, which prevents you from developing the additive yourself, you get each company to give you a sample to the product.
Select an industry with which you are familiar. Predict how future technology will inform, support, and potentially hinder productivity, culture, and work satisfaction within an organization in the industry.
If Chebychev Inequality gives the lower bound for probability. For the present problem the lower bound for the probability is 0.75 and actual probability is 0.87.
Given that both balls selected are white what is the probability that bowl 3 was selected?
Suppose we sample five boys and five girls, and find that the average height of the boys is 0.5 inches more than the average height of the girls.
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