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The filling weight for boxes of cereal is designed to have a variance .02 ounces or less. A sample of 41 boxes of cereal shows a sample standard deviation of .16 ounces. Use alpha = .05 to determine whether the variance in the cereal box filling weight is exceeding the design specification.
R.C. Geary wrote some 70 years ago that "Normality is a myth. There never was, is, nor will there ever be a Normal distribution".
A sociologist wants to determine if the life expectancy of people in Africa is less than the life expectancy of people in Asia.
Provide an example from your work or home life; illustrate the difference between the application of descriptive statistics and inferential statistics.
You're a risk manager of ABC company and you are reevaulating your insurance contract. Your insurer has informed you that the expected value of frequency per month for ABC is 2.43.
Using classical methods discussed in class, try to estimate the probability of winning.
Assuming the manufacturer's claim is true, what is the approximate probability of observing a sample mean of 52 months or less?
Results from survey of 1000 respondents, point out that 545 favour the dealth penalty for capital crimes. By using a90% confidence level. Create confidence interval estimate for population proportion.
Do you think this statement has any merit? Why or why not? Explain why the manager may have said it and then further substantiate his argument or compose a rebuttal.
The sales of Lexus automobiles in the Detroit area follow a Poisson distribution with a mean of 3 per day. What is the probability that for five consecutive days at least one Lexus is sold?
"If you took 40 employees at random from the corporation, there is a pretty good chance the average number of days absent would be 12 or more. That's what happened to us-chance variation." Is this a good defense? Justify your answer.
Suppose a coin is flipped and a die is rolled. Let E1 denote the event "the coin shows a tail", let E2 denote the event "the dies shows a 3", and let E3 denote the event "the coin shows heads and the die shows an odd number".
Pulse rate is an important measure of the fitness of a person's cardiovascular system. The mean pulse rate for all U.S. adult males is approximately 72 heart beats per minute.
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