Q. 5 A gasoline wholesale distributor has bulk storage tanks that hold fixed supplies and are filled every Monday. Of interest to the wholesaler is the proportion of this supply that is sold during the week. Over many weeks of observation, the distributor found that this proportion could be modeled by a beta distribution with a = 4 and B = 2. Find the probability that the wholesaler will sell at least 90% of her stock in a given week.
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: Recall that Benford's law claims that numbers chosen from very large data files tend to have "1" as…
A: Given: Sample size, n=218 r = 47 Sample proportion: p^=rn=47218=0.2156 Set the null and alternative…
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A: Solution: Given information: n= 224 Sample size p= 0.32 Population proportion
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Q: Recall that Benford's Law claims that numbers chosen from very large data files tend to have "1" as…
A: Given data : Claim : p is less than 0.301 number of success r = x= 50.0 sample size, n…
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…
A: Given information- Population proportion, p = 0.301 Sample size, n = 218 The entries had a first…
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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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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…
A: Given that The Population proportion is =0.301 Sample size (n)=225 The number of first non zero…
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A: The probability of getting a number with "1" as the leading digit is about 0.301.Sample size Number…
Q: Recall that Benford's Law claims that numbers chosen from very large data files tend to have "1" as…
A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…
Q: Recall that Benford's Law claims that numbers chosen from very large data files tend to have "1" as…
A: Given : Claim : p is less than 0.301.
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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: Test the claim that p is more than 0.301. Use ? = 0.10 (a) What is the value of the sample test…
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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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- 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 α = 0.10. 2) What is the value of the sample test statistic? (Round your answer to two decimal places.) 3) Find the P-value of the test statistic. (Round your answer to four decimal places.) 4) If p is in fact larger than 0.301, it would seem there are too many numbers in…Example 10: P and Q two securities, with expected returns of 15% and 24% respectively, and standard deviation of 35% and 52% respectively. Calculate the standard deviation of a portfolio weighted equally between the two securities if their correlation is -0.9.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…
- Some previous studies have shown a relationship between emergency-room admissions per day and level of pollution on a given day. A small local hospital finds that the number of admissions to the emergency ward on a single day ordinarily (unless there is unusually high pollution) follows a Poisson distribution with mean = 2.0 admissions per day. Suppose each admitted person to the emergency ward stays there for exactly 1 day and is then discharged. The hospital is planning a new emergency-room facility. It wants enough beds in the emergency ward so that for at least 95% of normal-pollution days it will not need to turn anyone away. What is the smallest number of beds it should have to satisfy this criterion? Answer the previous question for a random day during the year.Serum estradiol is an important risk factor for breast cancer in postmenopausal women. To better understand the etiology of breast cancer, serum-estradiol samples were collected from 25 premenopausal women (at about the same time period of the menstrual cycle) of whom 10 were Caucasian and 15 were African American. The data are shown in Table 7.3. The distribution of serum estradiol is usually highly skewed (especially for premenopausal women), and we are reluctant to assume normality. Table 7.3 Serum estradiol and ethnicity in 25 premenopausal women, where 0=Caucasian and 1=African-American. ID Serum_estradiol Ethic 1 94 0 2 54 1 3 31 0 4 21 1 5 46 1 6 56 0 7 18 1 8 19 1 9 12 1 10 14 0 11 25 0 12 35 1 13 22 1 14 71 0 15 43 1 16 35 1 17 42 1 18 50 1 19 44 1 20 41 0 21 28 0 22 65 0 23 31 0 24…A pharmaceutical company makes tranquilizers. It is assumed that the distribution for the length of time they last is approximately normal. Researchers in a hospital used the drug on a random sample of 9 patients. The effective period of the tranquilizer for each patient (in hours) was as follows: 2.5; 2.8; 3.1; 2.3; 2.3; 2.2; 2.8; 2.1; and 2.4. 1.Which distribution should you use for this problem? (Enter your answer in the form z or tdf where df is the degrees of freedom.) 2. Construct a 95% confidence interval for the population mean length of time. (i) State the confidence interval. (Round your answers to two decimal places.) ( , ) (iii) Calculate the error bound. (Round your answer to two 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 = 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.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.