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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?
Compute the relative frequencies and percentages for all classes. Draw a histogram and a polygon for the relative frequency distribution.
Iif two voters are randomly selected for a telephone survey, what is the probability that they are both Republicans? Round your answer to 4 decimal places.
Is there evidence to suggest a difference in the mean waiting times at the four body shops?
Assume we have a population of scores with a mean of 975 and a standard deviation of 15. Assume that the distribution is normal. Provide answers to the following questions:
For every additional hour spent studying for the exam you would expect a grade improvement of 60.2 points
The probability of a bulb lasting less than 2300 is .1573. The maximum probability of a bulb lasting less than 2300 hours should be only 5%. What must change specifically? How would that change be obtained practically?
Find the confidence interval for the mean price, μ, of all dealer sticker prices of new cars: for a confidence level of 90% in thousands of dollars:
what is the appropriate procedure to test for significant difference in means between two groups? Implement the procedure using the critical-value method and what is the p-value?
Determine the most likely outcome? Are events "alcohol involved" and "2 or more vehicles involved" mutually exclusive? Describe your reasoning.
Why do people buy lottery tickets for a grand prize of 20 million dollars when the probability of winning the grand prize is 1 in 175 million?
a. What is the probability that one randomly selected student scores above 1100 on the GRE? b. Describe the sampling distribution of the sample mean for the 16 students.
Identify this F ratio. What does the F ratio tell you about the fit of the regression equation to the sample points? What does it suggest?
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