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Part A: A random variable is a numerical value determined by the outcome of an experiment. Briefly describe a discrete random variable. For each of the following indicate whether the random variable is discrete, and provide your reasoning.
i) The distance between Gainesville, Florida, and all Florida cities with population at least 50,000
ii) The number of hits for a team in a high school girls' softball game
iii) The length of time to get a haircut.
iv) The number of cars a jogger passes each morning while running.
Part B:
(a) Describe a Bernoulli experiment and give two examples.
(b) What is the connection between a Bernoulli experiment and a binomial distribution? Explain.
Compute the skewness for your data set using Pearson's
What characteristic (or property of random samples) could be observed during the sampling process?
Set up hypotheses and carry out all relevant tests. Describe all results and implications which you have discovered.
Super Markets, Inc. is considering expanding into the Scottsdale, Arizona, area. Ms. Luann Miller, Director of Planning, must present an analysis of the proposed expansion to the operating committee of the board of directors.
One state lottery has 500 prizes of $1, 75 prizes of $15, 15 prizes of $100, 5 prizes of $450, 2 prizes of $1225, and 1 prize of 2500. Assume that 28,000 lottery tickets are issues and sold for $1. What is the lottery's expected profit per ticket?
Evaluate the multiple regression model between quantity sold (Y) and following explanatory variables: average price of deep-dish pizzas, monthly advertising expenditures, and disposable income per household in areas surrounding outlets.
The professor wishes to use a random-number table to determine which letter choice should correspond to the correct answer for a question.
Conduct a matched pairs t-test to see if the differences in locations is significant - The air in poultry-processing plants often contains fungus spores.
A social psychologist has developed a test measure gregariousness. The test is normed so that it has a mean of 70 and a standard deviation of 20, and the gregariousness scores are normally distributed in the population of college students used to ..
The sample was collected by interviewers going to people's homes in randomly chosen areas in each of the 9 countries. The population represented by this sample was:
Compute mean absolute percentage error (MAPE) of the forecasts.
The results for college x was a mean of 5 hours and an estimated population variance of 2 hours: for college y, m= 4, s 2 =1.5; and for college Z, M= 6, s 2 =2.5 what should you conclude? Use the .5 level.
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