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Assume the probability that a person has the desease is 0.03 for all people, independently of each other, and compute the expected number of tests necessary for each group.
Probability of selecting a household with no children that is equal to the value obtained by the census. Give the z statistic (rounded to two decimal places) and the P-value. What do you conclude?
Body mass index is measured as the ratio of weight in kilograms to height in meters squared. Generate a 95% confidence interval estimate of the true BMI.
Find the 99% confidence interval of the mean score for all golfers if this is a sample of 50 golfers instead of a sample of 35.
Calculate a sample mean and standard deviation and then reject the shipment if the sample average falls below some agree-upon value.
A report states that 43% of home owners had a vegetable garden. How large a sample is needed to estimate the true proportion of home owners who have vegetable gardens to within 0.04 with 98% confide
the average salaryfor graduates entering the actuarial field is $40,000. if the salaries are normally distributed with a standard deviation of $5000, find the probability that an individual graduate
One of the questions asked on the survey to purchasing agents is: Do you think the economy is expanding? Last month, of the 300 responses 160 answered yes to the question.
ACME will incur the cost of replacement, but will not receive any additional revenue. What is the profit earned/loss incurred on an all weather tire that exceeds 40,000 miles?
Perform an appropriate hypothesis test, showing the necessary calculations and/or explaining the process used to obtain the results
The weights of a random sample of cereal boxes that are supposed to weigh one pound are listed here. Estimate the variance of the entire population of cereal box weights with 90% confidence
An elevator has a uniform distribution ranging from 0 to 4 minutes. Find the mean and standard deviation of x, the time a customer on the second floor waits for an elevator.
assuming standard deviation is 4400 miles, how many tires would need to be ordered to estimate the mean milage for all tires within 1000 miles with 99% confidence?
In an effort to improve the mathematical skills of 10 students, a teacher provides a weekly 1-hour tutoring session for the students. A pretest is given before the sessions, and a posttest is given
The makers of Bucinimin claim their capsules have a mean weight of 20 milligrams. A test of 45 capsules had a mean weight of 20.9 milligrams and a standard deviation of 0.3 milligrams. Test the make
A recent article in Business Week listed the "Best Small Companies." We are interested in the current results of the companies' sales and earnings. A random sample of 12 companies was selected and t
A random sample of 16 federal inmates is selected. What is the probability that exactly 12 are serving time for drug dealing?
when 343 college students are randomly selected and surveyed it is found that 110 own a car. find a 99% confidence level for the true population of all college students who own a car.
Calculate the probability that a randomly selected egg weights between 62.5 g and 68.75 g. Calculate the probability that the mean weight of a carton falls between 62.5 g and 68.75 g.
In the fiscal year 2007, the IRS audited 1.77% of individual tax returns with income of $100,000 or more. If the percentage stays the same this year:
Find the expected value or average profit per customer and determine how much profit they should expect if 10 people purchase one of their European vacation packages.
How many cars must be randomly selected and tested in order to estimate the mean braking distance of registered cars in the United States. We want 99% confidence that the sample mean is within 2 fee
A statistician is considering using a 99% confidence interval for a study instead of a 95% confidence interval. What happens to the required sample size if the confidence level is increased from 95%
Scores on an assessment exam at a private school are normally distributed, with a mean of 74 and a standard deviation of 6. Any student who scores in the top 6% is eligible for a scholarship. What i
Find the minimum sample size required to estimate the percentage of college students who use loans to pay for college. Assume we want 95% confidence that the sample proprotion is within two percent