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A survey found that women's heights are normally distributed with mean 63.5in and standard deviation 2.5in. A branch of the military requires women's heights to be between 58 and 80 in.
a) Find the percentage of women meeting the height requirement. Are many women being denied the opportunity to join this branch of the military because they are too short or too tall?
b) If this branch of the military changes the height requirements so that all women are eligible except the shortest 1% and the tallest 2%, what are the new height requirements?
How many more sheep should be included in the sample if we want to say with 98% confidence that the population mean weight of the Jacob sheep is within 2.0 lb of the sample mean?
a medical researcher wishes to determine the percentage of females who take vitamins. he wishes to be 95 confident that
Chandra has 5 liters of a 24% solution of sodium hydroxide in a container. What is the amount and concentration of sodium hydroxide solution she must add to this in order to end up with 8 liters of 27% solution?
question a bag contains a total of 30 batteries of which six are defective. selecting four at random without
Approximately 14 percent of the population of Arizona is 65 years or older. A random sample of five persons from this population is taken. The probability that less than 2 of the 5 are 65 years or older is:
Make three-month and four-month moving averages for this time series. Does the three-month or four month moving average provide the better forecast? Explain.
Military radar and missile detection systems are designed to warn a country of enemy attacks. What is the probability that 1 detection system will detect an attack.
Prove that if x + y is even, then the product xy(x + y)(x - y) is divisible by 24, and that without this restriction, 4xy(x- y)(x + y) is divisible by 24.
He argues that the regression effect says people who perform very poorly in their previous job tend to perform well in their next job. Is this what the regression effect says? Explain.
According to Chebyshev's Theorem, how many students scored between 57 and 93? Assume that the distribution is normal. Based on the Empirical Rule, how many students scored between 57 and 93?
Quality Progress, February 2005, reports on improvements in customer satisfaction and loyalty made by Bank of America. A key measure of customer satisfaction is the response (on a scale from 1 to 10) to the question
Frequently, tests that yield abnormal results are repeated for confirmation. What is the probability that for a normal person a test will be at least 1.5 times as high as the upper limit of normal on two separate occasions?
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