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Question: Heights of adult men between 18 and 34 years of age are normally distributed with mean 69.1 inches and standard deviation 2.92 inches. One requirement for enlistment in the military is that men must stand between 60 and 80 inches tall.
a. Find the probability that a randomly elected man meets the height requirement for military service.
b. Twenty-three men independently contact a recruiter this week. Find the probability that all of them meet the height requirement. Hint: There is a binomial random variable here, whose value of p comes from part (a).
A University employment office wants to compare the time taken by graduates with 3 different majors to find their first jobs after graduation.
If an apartment is selected at random, what is the probability that it is not a 2 bedroom apartment on the 2nd floor?
Suppose you have the opportunity to buy the following contract, a stock call option, on March 1.
The following are data on the average weekly profits (in $1,000) of five restaurants, their seating capacities, and the average daily traffic (in thousands of cars) that passes their locations:
what is the purpose of forecasting? why are forecasts not always correct? what are the limitations of
Explain the logic of what you have done, writing as if you are speaking to someone who has never heard of correlation (but who does understand the mean, deviation scores, and hypothesis testing);
Which of the preceding equations is the better fit to the time series if the MAD criterion is used? If the MSE criterion is used?
Use any method to decide whether to rejects or fail to reject the null hypothesis. Then interpret the decision in the context of the original claim.
The Weschsler IQ test has a μ =100 and a σ = 15. A vitamin company said if people took vitamin X for 30 days their IQ would improve. A simple random sample of 49 people took the vitamins for 30 days. They then took the IQ test. The mean IQ of the ..
Assuming normality of the distribution of monthly sales, for a minimum monthly goal of $42,000, what is the lower capability index? In what proportion of the time will the goal value be met?
A certain component is critical to the operation of an electrical system and must be replaced immediately upon failure. If the mean lifetime of this type of component is 100 hours and its standard deviation is 30 hours, how many of the components ..
Determine the probability that a randomly chosen U.S. household would spend more than 1 standard deviation below the average amount spent by U.S. households.
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