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The graduate selection committee wants to select the top 10% of applicants. On a standardized test with a mean of 500 and a standard deviation of 100, what would be the cutoff score for selecting the top 10% of applicants, assuming that the standardized test is normally distributed?
The following data (in pounds), which were selected randomly from a normally distrubuted population of values, represent mearsurements of a machine part that is supposed to weigh, on average, 8.3 pounds.
To increase membership. Determine the probability of all three selected are CPAs? Illustrate the proper way to compute probabilty?
When is it important to have matched pairs rather than two independent sets of data?
Determine the minimum required sample size if you want to be 99% confident that the sample mean is within 2 units of the population mean given sigma = 7.8. Assume the population is normally distributed.
A vertical line is drawn through a normal distribution at z = -0.25, and separates the distribution into two sections. What proportion of the distribution is in the larger section?
An airline has flights from a small airport connecting with Ohare. These small planes carry 30 passengers. The airline knowing that only 85% of booked passengers routinely show up for a randomly selected flight routinely sell 31 tickets for each f..
A random sample of n = 4 scores is obtained from a normal population with = 20 and = 4. What is the probability of obtaining a mean greater than M = 22 for this sample?
If θ1 and θ2 are unbiased estimators of θ, show that θ3=k1θ1+ k2θ2 is biased estimator of θ. What condition must be imposed on constants k1 and k2, so that θ3 is an unbiased estimator of θ?
The manager of a local branch of a bank believes that over the past few years the bank has begun to cater to a different clientele and that the average amount withdrawn from its ATMs is no longer $140.00.
Statistics Test Scores - Tests in the author's statistics class have scores with a standard deviation equal to 14.1. One of his last classes had 27 test scores with a standard deviation of 9.3.
Dogs were trained with urine samples from bladder cancer patients and people from a control group who did not have bladder cancer.
Is the normal distribution (or its special case, the standard normal distribution) effective in characterizing situations and/or in helping managers make decisions?
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