if a customer buys 3 or more items they will receive a discount on shipping costs. what is the probability that the next customer will receive this discount?
Q: Recall that Benford's Law claims that numbers chosen from very large data files tend to have "1" as…
A: n=218, r =52, α = 0.10 claim : p is less than 0.301
Q: Recall that Benford's Law claims that numbers chosen from very large data files tend to have "1" as…
A: The claim is that p is more than 0.304.
Q: Recall that Benford's Law claims that numbers chosen from very large data files tend to have "1" as…
A: We have given that n = 215 r = 46 p = 0.301 p̂ = r/n =46/215 = 0.2140
Q: Recall that Benford's Law claims that numbers chosen from very large data files tend to have "1" as…
A: Null Hypothesis: H0: p=0.301 Alternative Hypothesis: H1:p<0.301 Given information:…
Q: Recall that Benford's Law claims that numbers chosen from very large data files tend to have "1" as…
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Q: Recall that Benford's Law claims that numbers chosen from very large data files tend to have "1" as…
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Q: Recall that Benford's law claims that numbers chosen from very large data files tend to have "1" as…
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Q: i) Test the claim that p is less than 0.301. Use ? = 0.05. (a) What is the level of significance?…
A: popualtion proportion = 0.301 Sample proportion = 52/224 =0.232
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Q: Recall that Benford's Law claims that numbers chosen from very large data files tend to have "1" as…
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Q: Recall that Benford's Law claims that numbers chosen from very large data files tend to have "1" as…
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Q: Recall that Benford's Law claims that numbers chosen from very large data files tend to have "1" as…
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Q: Recall that Benford's Law claims that numbers chosen from very large data files tend to have "1" as…
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a survey of 100 online shoppers at a certain popular web store reveals the following
x= 0, 1, 2, 3, 4, 5, 6, 7
f(x)= ? .12 .16 .15 .05 .06 .03 .02
if a customer buys 3 or more items they will receive a discount on shipping costs. what is the probability that the next customer will receive this discount?
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- If you know that every 30 minutes, a plane takes off from Jeddah Airport to Riyadh Airport, starting at 10 am. If a group of passengers arrives at Jeddah airport at a time that follows the regular continuous distribution between 6:00 a.m. and 7:30 a.m., then what is the likelihood that passengers wait for the plane less than 15 minutesThe useful life of Johnson rods for use in a particular vehicle follows an exponential distribution with an average useful life of 5.2 years.You have a three-year warranty on your vehicle’s Johnson rod. What is the probability that the Johnson rod doesn’t fail before then? That is, what is the probability that its useful life doesn’t end before three years?b.If the vehicle manufacturer wants to limit the number of claims on the three-year warranty to 20%, what should the average useful life of the Johnson rod be?Suppose that 0.7% of male professional golfers use steroids, and that Max is a male professional golfer who has been randomly selected to take a drug test. The test he has been asked to take has a false positive rate of 1% and a false negative rate of 10%. Use Bayes’ rule to calculate the probability that Max actually uses steroids if he tests positive for steroid use. Give your answer as a decimal precise to three decimal places.
- Recall that 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. Now 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 = 223 numerical entries from the file and r = 48 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.(i) Test the claim that p is less than 0.301. Use ? = 0.05. (a) What is the level of significance?State the null and alternate hypotheses. H0: p < 0.301; H1: p = 0.301 H0: p = 0.301; H1: p > 0.301 H0: p = 0.301; H1: p < 0.301 H0: p = 0.301; H1: p ≠ 0.301 (b) What sampling…Recall that 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. Now suppose you are the auditor for a very large corporation. The revenue file contains millions of numbers in a large computer data bank. You draw a random sample of n = 226 numbers from this file and r = 87 have a first nonzero digit of 1. Let p represent the population proportion of all numbers in the computer file that have a leading digit of 1. (1) Test the claim that p is more than 0.301. Use a = 0.05. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: p = 0.301; H1: p > 0.301 O Ho: p > 0.301; H1: p = 0.301 O Ho: p = 0.301; H1: p 5 and ng > 5. O The Student's t, since np 5 and ng > 5. O The standard normal, since np < 5 and…Recall that 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. Now 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 = 223 numerical entries from the file and r = 52 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.(i) Test the claim that p is less than 0.301. Use ? = 0.05. (a) What is the level of significance?State the null and alternate hypotheses. H0: p = 0.301; H1: p > 0.301H0: p = 0.301; H1: p < 0.301 H0: p < 0.301; H1: p = 0.301H0: p = 0.301; H1: p ≠ 0.301 (b) What sampling…
- Recall that 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. Now 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 = 220 numerical entries from the file and r = 51 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.(i) Test the claim that p is less than 0.301. Use α = 0.10. (a) What is the level of significance? 0.20 What is the value of the sample test statistic? (Round your answer to two decimal places.)??? (c) Find the P-value of the test statistic. (Round your answer to four decimal…Recall that 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. Now 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 = 225 numerical entries from the file and r = 51 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.(i) Test the claim that p is less than 0.301. Use ? = 0.05.Suppose that the lifetime of a soft white light bulb follows an exponential distribution with expected value 300 hours, and the lifetime of an bright white light bulb follows an exponential distribution with expected value 700 hours, and the two lifetimes are independent. If we start using both light bulbs at the same time, then what is the probability that the soft white light bulb will burn out before the bright white light bulb?
- Recall that 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. Now 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 = 220 numerical entries from the file and r = 49 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. A) What is the value of the sample test statistic? (Round your answer to two decimal places.)B) Find the P-value of the test statistic. (Round your answer to four decimal places.)Recall that 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. Now 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 = 220 numerical entries from the file and r = 49 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.Suppose the time it takes for guests to wait for an elevator at the lobby of a certain office building has a uniform distribution between 0 and 4 minutes. What is the probability that, the next time you need to take this elevator, you'll have to wait at most 1.6 minutes? (Your answer should be a decimal. Round to 4 decimal places if necessary.)