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Barron's reported that the average number of weeks an individual is unemployed is 17.5 weeks (Barron's, February 18, 2008). Assume that for the population of all unemployed individuals the population mean length of unemployment is 17.5 weeks and that the population standard deviation is 4 weeks. Suppose you would like to select a random sample of 50 unemployed individuals for a follow-up study.
a. Show the sampling distribution of , the sample mean average for a sample of 50 unemployed individuals.
b. What is the probability that a simple random sample of 50 unemployed individuals will provide a sample mean within 1 week of the population mean?
c. What is the probability that a simple random sample of 50 unemployed individuals will provide a sample mean within 1/2 week of the population mean?
What is the maximum error of estimate for p ?
An olympic archer is able to hit the bull's-eye 70% of the time. Assume each shot is independent of the others. If she shoots 6 arrows, what is the probablitly that she never misses?
Find a eulerization of the graph that will allow the garbage truck to make a reasonably efficient Eulerian circuit through the neighborhood.
In an early study, researchers at an Ivy University found that 33% of the freshmen had received at least one A in their first semester.
Whirltag claims that the useful lifetime of its dishwashers is normally distributed with a mean of 3 years and a standard deviation 1 year.
Find the critical value to determine if there is enough evidence to conclude that the number of minutes spent online per day is related to gender.
The following data provided by a coffee company are the roast time in minutes for five batches of coffee (x) and the resulting shrinkage in percent of the coffee weight(y).
As a bonus, students are encouraged to research new and interesting articles/ websites/ interactive tools, etc. which are pertinent to the class material.
A survey was conducted to measure the height of men. In the survey, respondents were grouped by age. In the 20-29 age group, the heights were normally distributed, with a mean of 67.8 inches and a standard deviation of 4.0 inches. A study particip..
The researcher expects a 12-point treatment effect and plans to use a two-tailed hypothesis test with a = 0.05.
Cash withdrawals (in multiples of $20) at an on-campus ATM for a random sample of 30 Fridays and 30 Mondays are shown below.
The probability of Toyota building a new production plant is 70% and the probability of GM building a new one is 50%. The following are the probabilities associated with the countries Toyota would build a new plant:
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