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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.
Do the data indicate that the lengths of one supplier's 2x4's are subject to more variability than those of the other supplier? Assume α = 0.05. (HINT: F Test for Differences in Two Variances)
Heights of People - The average height of a certain age group of people is 53 inches. The standard deviation is 4 inches. If the variable is normally distributed, find the probability that a selected individual's height will be:
In a random sample of 10 adults from a nearby county, the mean waste generated per person per day was 4.35 pounds and the standard deviation was 1.88 pounds.
Calculate the average of deposits per bank for FDIC- inured institutions during both time periods and describe the relationship between the two averages. Provide a reason for the difference.
The mean amount of a purchase at the Smith Hardware store is $23.50 with standard deviation of $5.00. The amounts purchased follow normal distribution.
During the past year, the mean sales of Wshington Reds in cases was 45,000 cases, and the standard deviaiton was 4,450. How many cases of Washington Reds should be brought to market? Assume the sales follow a normal distribution.
What is the likelihood the sample mean is greater than $22.50 but less than $25.00?
Binomial Distribution: Control Charts this problem will be referred to in the study of control charts. In the binomial probability distribution, let the number of trials be n = 3, and let the probability of success be p = 0.0228.
Develop 3 regression models to forecast selling price based upon each of other factors individually. Which of these is best?
Report the t-value, whether you accept or reject Ho, and whether the difference was significant in a brief sentence.
When we carry out a chi-square test of independence, the expected frequencies are based upon the Null hypothesis - true or false.
Write the null and alternative hypotheses for testing if participants and non-participants differ in level of problem behavior (Y).
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