23. A population of 30 chemical processing units is to be sampled by a two-person crew. Themean time between calls for this operation is 68 minutes. If the mean service rate is oneunit per minute, the cost of the crew and instruments will be $16 per minute. This cost willdecrease to $12, $9, and $7 for service intervals of 2,3, and 4 minutes, respectively. The timebetween calls for service and the service duration are distributed exponentially. If lostprofit is $28 per hour for each unit that is idle, find the minimum cost service interval.

Let λ be the arrival rate of calls, and let μ be the service rate of each crew member. We know that…

Answered: A population of 30 chemical processing…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A traffic safety company publishes reports about motorcycle fatalities and helmet use. In the first accompanying data table, the distribution shows the proportion of fatalities by location of injury for motorcycle accidents. The second data table shows the location of injury and fatalities for 2061 riders not wearing a helmet. Complete parts (a) and (b) below. Click the icon to view the tables. (a) Does the distribution of fatal injuries for riders not wearing a helmet follow the distribution for all riders? Use α = 0.05 level of significance. What are the null and alternative hypotheses? O A. Ho: The distribution of fatal injuries for riders not wearing a helmet follows the same distribution for all other riders. H₁: The distribution of fatal injuries for riders not wearing a helmet does not follow the same distribution for all other riders. B. Ho: The distribution of fatal injuries for riders not wearing a helmet does not follow the same distribution for all other riders. H₁: The…
Previously, De Anza's statistics students estimated that the amount of change daytime statistics students carry is exponentially distributed with a mean of $0.88. Suppose that we randomly pick 25 daytime statistics students. Find the probability that an individual had between $0.80 and $1.00. Graph the situation, and shade in the area to be determined.
Suppose that the length of long distance phone calls, measured in minutes, is known to have an exponential distribution with the average length of a call equal to $24 minutes. The 16th percentile is a phone call that lasts minutes.
Answer the following questions using the separate rates X1,..., X20 and Y1,..., Y20 shown in Figure 1. (a) Carry out the calculations for a test of the hypotheses that the mean U.S. mortality rate On remained the same or increased from 2005 to 2015 against the alternative that the mean mortality rate decreased. State the hypotheses, test statistic, rejection region, and p-value. Do not interpret the conclusion of the test. (b) Compute a 99% confidence interval for the change in mean heart rate mortality. Do not interpret the interval.
Question D. Give a 95% interval estimate of the number of fatal accidents per 1000 licenses in a city where 15% of the licensed drivers are under 21. Same data set as above.
The following chart shows the percentage of the U.S. discretionary budget allocated to education from 2003 to 2009 (t = 3 represents the start of 2003). A bar graph titled "Percentage of U.S. budget on education" has a horizontal t-axis labeled "Year since 2000" and a vertical axis labeled "Percentage". The bar graph has 7 bars. Each bar is associated with a label and an approximate value as listed below. 3: 6.8% 4: 7% 5: 7% 6: 6.9% 7: 6.5% 8: 6.3% 9: 6.2% The following table shows the percentage of the U.S. discretionary budget allocated to education in 2003, 2005, and 2009 (t = 3 represents the start of 2003). Year t 3 5 9 Percentage 6.8 7 6.2 Find a quadratic model for these three years. (Round your coefficients to two decimal places.) p(t) = Use your model to estimate the percentage of the U.S. discretionary budget allocated to education in 2007. (Round your answer to two decimal places.)
The number of pounds of steam used per month by a chemical plant is thought to be related to the average ambient temperature (in F) for that month. The past year's usage and temperatures are in the following table: Usage/ Month Temp. 1000 Month 21 185.79 July. 24 214.47 Aug. 32 288.03 Sept. 47 424.84 Oct. 50 454.58 Nov. 59 539.03 Dec. Jan. Feb. Mar. Apr. May June Temp. 68 74 62 50 41 30 Identify which are the independent and dependent variables. Usage/ 1000 621.55 675.06 562.03 452.93 369.95 273.98
You collect data of average annual returns for Amazon Stock and Microsoft Stock and make the following table: (This data can be copied into Excel.) You use this data to answer the research question: are true population Amazon Returns greater than true population Microsoft Returns? What is your point estimate of the difference in Amazon Returns and Microsoft Returns? Enter your answer as a positive number. Round your answer to four decimal places.
An outbreak of the deadly Ebola virus in 2002 and 2003 killed 91 of the 95 gorillas in 7 home ranges in the Congo. To study the spread of the virus, measure " distance" by the number of home ranges separating a group of gorillas from the first group infected. Here are data on distance and number of days until deaths began in each later group: Distance xx 2 5 4 4 4 6 Days yy 4 21 29 40 47 49 Use a calculator or software to find the following values. (a) Find the mean and standard deviation of xx. MEAN: STANDARD DEVIATION: (b) Find the mean and standard deviation of yy. MEAN: STANDARD DEVIATION: (c) Find the correlation rr between xx and yy. r:
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