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A: Calculate 45% of 120 as follows.
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- The Baytown Post Office has four stations for service. Customers line up in single file for service on an FIFO basis. Themean arrival rate is 40 per hour, Poisson distributed, and themean service time per server is five minutes, exponentiallydistributed. Compute the operating characteristics for this operation. Does the operation appear to be satisfactory in termsof: (a) postal workers’ (servers’) idle time; (b) customer waiting time and/or the number waiting for service; and (c) thepercentage of the time a customer can walk in and get servedwithout waiting at all?Kaitlyn measures the upload speed in megabits per second of her home broadband internet connection during peak hours and off-peak hours. The results are provided in the accompanying table. Peak Off-Peak 5.83 5.14 6.05 6.80 7.14 6.98 3.54 5.77 5.45 7.27 5.90 6.62 5.81 6.19 4.82 6.08 6.37 6.59 4.65 5.58 5.30 7.41 6.48 6.26 5.96 6.37 5.79 6.31 6.84 6.55 5.06 4.95 5.61 7.03 6.45 6.77 Examine the results of Kaitlyn's test to determine the statements that compare the medians and interquartile ranges of the data sets to each other in terms of this situation. Select the two correct answers. The median upload speed during peak hours is 5.905 megabits per second, which is less than the median upload speed during off-peak hours, 7.005 megabits per second. The upload speeds during peak hours are slower on average compared to off-peak times. The median upload speed during peak hours is 6.37 megabits per second, which is greater than the median upload speed during…Acoording to scientists, the cockroach has had 300 million years to develop a resistance to destruction. In a study conducted by tesearchers, 4,000 reaches (the expected number in a rouch-infested house) were released in the tost kibchen. One week later, the kitchen was fumigated and 14,465 dead roaches were counted, a gain of 10,465 roaches for the 1 -week period. Assume that none of the original roaches died during the 1 -week period and that the standard deviation ofx, the number of roaches produced per roach in a 1 -weok period, is 1.3 . Use the number of roaches produced by the sample of 4,000 rosches to find a pos confidence interval for the mean number of roaches produced per wook for each rosch in a typical toach-infosted house. Find a99%confidence interval for the mean number of roaches prodused per week for each roach in a typical roach infested housen (Round to three decimal places as needed)
- DLP projectors are used in the majority of cinema projection systems and require a special light bulb to display a picture. Assume that the average life of a DLP bulb is 2,000 hours and that this failure time follows the exponential distribution. Answer the following questions, performing all computations with Excel functions.Metropolitan Hospital has estimated its average monthly bed needs, N, as: N=460+9X�=460+9� where X = time period (months); (January 2002 = 0) Assume that no new hospital additions are expected in the area in the foreseeable future. The following monthly seasonal adjustment factors have been estimated, using data from the past five years: Forecast Metropolitan's bed demand for January, April, July, November, and December 2007. Month Adjustment Factor (%) Forecast January +5 April -15 July +4 November -5 December -25 Suppose the following actual and forecast values for June bed demands have been recorded. Year Forecast Actual 2007 1,045 1,139 2006 937 974 2005 829 895 2004 721 743 2003 613 656 2002 505 515 What seasonal adjustment factor would you recommend be used in making future June forecasts? 2.1% 5.5% 1.3%A Packages arrive at a warehouse that has a single reception point with a Poissondistribution mean of once every 12 minutes. It takes on the exponentially distributedaverage of 9-minutes to process each package.(a) What is the average wait time of a package in the queue?(b) On the average, how many packages are in the queue at any given time?(c) On the average, how many packages are in the system at any given time?(d) On the average, what is the wait time of packages in the system?(e) What percent of the time is the server idle?(f) What is the probability that there are exactly 7 packages in the system at any givenpoint in time>
- A researcher hypothesizes that in a certain country the net annual growth of private sector purchases of government bonds, B, is positively related to the nominal rate of interest on the bonds, NI, and negatively related to the rate of inflation Π: Bt = a0 + a1NIt + a2Π t + ut Note that it may be hypothesized that B depends on the real rate of interest on bonds, R, where R = NI – Π. Using a sample of 56 annual observations, s/he estimates the following equations: (1) Bt = 0.43 + 0.90NIt - 0.97Πt R21 = 0.962, SSR1 = 2.20, QRESET(F1,52) = 16.6 (3.58) (8.80) (-1.05) (2) Bt = 0.44 + 0.94Rt R22 = 0.960, SSR2 = 2.22, QRESET(F1,53) = 0.9 (9.70) (16.7) (3) Bt = 0.44 + 1.14NIt SSR3 = 9.20, QRESET(F1,53) = 59.9 (8.84) (36.1) (4) NIt = 0.08 + 0.94Πt R24 = 0.997, SSR4 = 0.18, QRESET(F1,53) = 1.4…In a certain year,27% of adults in a certain country viewed a college education as essential for success. For the following ten-year period, this percentage increased by approximately 2.6percent each year. The percentage of adults from this country who viewed a college education as essential for success x years after the first year can be represented by ________.Suppose that 2% of the employed lose their job each month. Further suppose that 25% of the unemployed find a job each month. a. What is the average duration of employment in this labor market? b. Do you think this is a reasonable figure given estimates of the natural rate? Why or why not? c. If you wanted to reduce the steady-state level of unemployment, what type of policies might you pursue and why?
- There is some evidence that, in the years−198185, a simple name change resulted in a short-term increase in the price of certain business firms' stocks (relative to the prices of similar stocks). (See D. Horsky and P. Swyngedouw, "Does it pay to change your company's name? A stock market perspective," Marketing Sciencev. 6, pp.−32035,1987.) Suppose that, to test the profitability of name changes in the more recent market (the past five years), we analyze the stock prices of a large sample of corporations shortly after they changed names, and we find that the mean relative increase in stock price was about 0.82%, with a standard deviation of 0.13%. Suppose that this mean and standard deviation apply to the population of all companies that changed names during the past five years. Complete the following statements about the distribution of relative increases in stock price for all companies that changed names during the past five years. a) According to Chebyshev's theorem, at least 56%…Marine biologists have noticed that the color of the outermost growth band on a clam tends to be related to the time of year in which the clam dies. A biologist conducted a small investigation of whether this is true for the species Protothaca staminea. She collected a sample of 50 clam shells in February and 27 clam shells in March. 15 of the shells from February had a dark color on the outermost growth band, whereas 8 of the shells from March had a dark color on the outermost growth band. Carry out a hypothesis test to see if there is a difference in the proportion of shells with a dark outermost growth band between the two months. Let ? = 0.01. A) The point estimate for the true difference in proportion of dark growth bands between February and March is:Marine biologists have noticed that the color of the outermost growth band on a clam tends to be related to the time of year in which the clam dies. A biologist conducted a small investigation of whether this is true for the species Protothaca staminea. She collected a sample of 50 clam shells in February and 27 clam shells in March. 15 of the shells from February had a dark color on the outermost growth band, whereas 8 of the shells from March had a dark color on the outermost growth band. Carry out a hypothesis test to see if there is a difference in the proportion of shells with a dark outermost growth band between the two months. Let ? = 0.01.Note: Do all calculations as February - March A) The point estimate for the true difference in proportion of dark growth bands between February and March is: I need help and webassign rejected the 0.0037 as the answer. I'm so lost. I emailed my professor and he hasn't gotten back to me. Please help. Thank you.