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- The 30 management professors at Omega University find out that telephone calls made to their offices are not being picked up. A call-forwarding system redirects calls to the management office after the fourth ring. A department office assistant answers the telephone and takes messages.An average of 90 telephone calls per hour is placed to the management faculty, and each telephone call consumes about one minute of the assistant’s time. The calls arrive to a Poisson distribution, as shown in Figure (a), with an average of 1.5 calls per minute. Because the professors spend much of their time in class and in conferences, there is only a 40 percent chance that they will pick up a call themselves, as shown in Figure (b). If two or more telephone calls are forwarded to the office during the same minute, only the first call will be answered.a. Without using simulation, make a preliminary guess of what proportion of the time the assistant will be on the telephone and what proportion of the…In a Denver community, 50 cases of diabetes were reported among 15-19 years old out of a total population of 46,000 between September 1 to December 31, 2016. Ten percent (4,600) of the population were between 15-19 years old on April 1, 2016 and the size and age distribution of the population has remained constant. An investigation of the cases in the 15-19-year age group revealed that 22 of the reported cases were contracted prior to September 1. In addition, another 18 cases developed in April and May but were clinically resolved before September 1. What was the cumulative incidence rate of disease in 15-19 year olds per 1,000 population in this Denver community during the period September 1 to December 31, 2016?Do you think the Poisson distribution, which assumes independent arrivals, is a good estimate of arrival rates in the following queuing systems? (1) Walmart (2) Fusions Spa in downtown Sylva (3) Chick Fillet (4) Hair styling salon (5) Food Lion
- In a population where 67%67% of voters prefer Candidate A, how many voters must be sampled for the distribution of voters that prefer candidate A to be normally distributed? In a population where 46%46% of voters prefer Candidate A, how many voters must be sampled for the distribution of voters that prefer candidate A to be normally distributed?1. Dick Hoover, owner of Modern Office Equipment, is concerned about freight costs and clerical costs incurred on small orders. In an effort to reduce expenditures in this area, he has decided to introduce a discount policy rewarding orders over $40 in the hope that this will cause customers to consolidate a number of small orders into large orders. The following data show the amount per transaction for a sample of 28 customers:10,15,20,25,15,17,41,50,5,9,12,14,35,18,19,17,28,29,11,11,43,54,7,8,16,13,37,18a. Compute the sample meanb. Compute the standard deviationc. Compute the sample varianced. If the policy is successful, will the mean of the distribution increase, decrease, or remain unaffected?e. If the policy is successful, will the standard deviation of the distribution increase, decrease, or remain unaffected?Miller (2008) examined the energy drink consumption of college undergraduates and found that female useenergy drinks significantly less often than males. To further investigate this phenomenon, suppose that a researcher selects a random sample of n = 36 male undergraduates and a sample of n = 25 females. On average, the males reported consuming M = 2.45 drinks per month and females had an average of M = 1.28. Assume that the overall level of consumption for college undergraduates averages mean = 1.85 energy drinks per month, and that the distribution of monthly consumption scores is approximately normal with a standard deviation is = 1.2. Use alpha =.01
- Suppose you manage the demand for a towing company in Little Rock which follows a poisson process. On a usual day your company gets 4 requests for towing services. What is the probability you will get 0 or 1 request a day? What is the mean, variance, and standard deviation for the numberof calls your company gets?he Princeton Review, a company that tracks information about various colleges, reports that 30% of CofC students are out-of-state students. If we took many samples of CofC students, and for each sample calculate the proportion $\hat{p}$ of out-of-state students in that sample, what would be the center of this distribution?Suppose the price per share of stock for a sample of 25 companies was recorded at the beginning of the first financial quarter and then again at the end of the first financial quarter. How stocks perform during the first financial quarter is an indicator of what is ahead for the stock market and the economy. Company End of 1st quarter Beginning of 1st quarter Company 1 54.69 55.32 Company 2 56.20 78.52 Company 3 103.07 110.50 Company 4 80.45 85.08 Company 5 126.51 140.73 Company 6 133.23 137.28 Company 7 32.56 42.57 Company 8 51.41 54.54 Company 9 35.90 37.94 Company 10 14.55 19.48 Company 11 33.04 40.04 Company 12 45.33 40.36 Company 13 185.13 189.53 Company 14 109.28 109.45 Company 15 72.46 92.15 Company 16 49.32 55.03 Company 17 36.70 43.73 Company 18 79.57 86.18 Company 19 95.50 87.45 Company 20 43.09 47.09 Company 21 51.32 66.70 Company 22 77.45 86.53 Company 23 46.77 45.99 Company 24 46.45 48.13 Company 25 130.36 129.08 (a)…
- An urban economist wishes to test the claim that the distribution of United States residents in the United States is different today than it was in 1999. In 1999, 19.6 % of the population of the United States resided in the Northeast; 23.0 % of the population of the United States resided in the Midwest; 35.4 % of the population of the United States resided in the South; 22.0 % of the population of the United States resided in the West. The economist randomly selects 2000 households in the United States and obtains the frequency distribution below. Region Frequency Northeast 365 Midwest 404 South 752 West 479 Test the claim that the distribution of residents in the United States is different today from the distribution in 1999 at alpha = .051.Miller (2008) examined the energy drink consumption of college undergraduates and found that males use energy drinks significantly more often than females. To further investigate this phenomenon, suppose a researcher selects a random sample of n = 36 male undergraduates and a sample of n = 25 females. On average, the males reported consuming M = 2.45 drinks per month and females had an average of M = 1.28. Assume that the overall level of consumption for college undergraduates averages μ = 1.85 energy drinks per month, and that the distribution of monthly consumption scores is approximately normal with a standard deviation of σ = 1.2. The researcher wants to know if the sample of females consume significantly fewer energy drinks than the overall population average. Using symbols, state the hypotheses for the type of test you indicated in part a. (H0and H1) Sketch the appropriate distribution and locate the critical region for α = .01 for the type of test you indicated in part…1.Miller (2008) examined the energy drink consumption of college undergraduates and found that males use energy drinks significantly more often than females. To further investigate this phenomenon, suppose a researcher selects a random sample of n = 36 male undergraduates and a sample of n = 25 females. On average, the males reported consuming M = 2.45 drinks per month and females had an average of M = 1.28. Assume that the overall level of consumption for college undergraduates averages μ = 1.85 energy drinks per month, and that the distribution of monthly consumption scores is approximately normal with a standard deviation of σ = 1.2. A) The researcher wants to know if the sample of males consume significantly more energy drinks than the overall population average. What are the independent and dependent variables? Using symbols, state the hypotheses for the type of test you indicated in part b. (H0and H1) Sketch the appropriate distribution and locate the critical region for α…