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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 = 463 numerical entries from the file and r = 122 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 P-value of the test statistic?
In an experiment in which a die was rolled 188 times it was counted up how many times each face came up. The results are as follows:
The national average SAT score (for Verbal and Math) is 1028. If we assume a normal distribution with σ = 92, what is the 90th percentile score? What is the probability that a randomly selected score exceeds 1200?
You are asked to estimate the chance that the sum will be positive.
At.01 significance level, is there relationship between job pressure and age?
The following data shows the packages gathered for delivery for ten days and the proportion of packages received not delivered to the customers at expected time.
Can you conclude that information in article is untrue? Use 0.05 significance level. Find out p-value and explain its meaning.
Absenteeism is distributed evenly throughout the week. The 0.01 level is to be used. The sample results are:
Given that P (A) = 0.7, P (B) = 0.5, and P (A B) = 0.8. Find the following probabilities:
Discuss possible study designs. Which of the designs would we use to test our research hypothesis?
In other words, explain why, all else being equal, as sample size increases the likelihood of finding a statistically significant relationship increases.
Triathalon Times Jeff Parent is a statistics instructor who participates in triathalons. Listed below are times (in minutes and seconds) he recorded as riding a bicycle for five laps through each mile of a 3-mile loop.
A design for 2 treatments has p pairs of blocks. Each block has three plots. In each pair one block has two plots with A and one with B, and the other has two plots with B and a single plot with A.
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