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Benford's Law claims that numbers chosen from very large data files tend to have "1" as the first nonzero digit disproportionately often. In fact, research has shown that if you randomly draw a number from a very large data file, the probability of getting a number with "1" as the leading digit is about 0.301. Suppose you are an auditor for a very large corporation. The revenue report involves millions of numbers in a large computer file. Let us say you took a random sample of n = 397 numerical entries from the file and r = 110 of the entries had a first nonzero digit of 1. Let p represent the population proportion of all numbers in the corporate file that have a first nonzero digit of 1. Test the claim that p is less than 0.301 by using What is the value of the test statistic?
What size sample would be required to estimate the proportion of hospital referrals with a margin of error of 0.04 or less at 95% confidence?
You're the production manager for operation that produces circuit boards. Each board is tested at the end of manufacturing process. Rejected boards are discarded and have no future value.
Briefly discuss a real-world example when the solution of a system of inequalities must be in the first quadrant?
Assuming that the first digit cannot be a zero, compute the number of possible outcomes when the digits can be repeated.
Many people attend work and produce little or nothing of value that is why they are terminated.
You are the sales manager of a life insurance agency. All of your sales representatives are successful in selling a policy on 30% of their sales calls. Determine the probability of a sales representative's selling at least four policies if he (she..
The average monthly cot for a studio apartment in NYC is reported to be $1,000. You want to prove that average monthly rent is not what is stated.
In a study designed to test the effectiveness of acupuncture for treating migraine, 142 subjects were treated with acupuncture and 80 subjects were given a sham treatment. The numbers of migraine attacks for the acupuncture treatment group had a m..
A jar contains 12 marbles, 5 of which are blue and 7 of which are red. If 4 marbles are chosen at random and without replacement, what is the probability of selecting 3 blue ones and 1 red one?
Identify the point estimate of the average number of available hotel rooms in this lesson from each sample. Construct and Interpret a 95% confidence level for the true mean number of available hotel rooms, based on the point estimate of each sampl..
What can we conclude from these figures at a level of significance of .01?
Suppose 100 randomly selected customers were asked to rate a particular service they recently had on a scale of 0 to 10. The sample mean rating was found to be 7.3.
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