arsesThis course(ii) Goods truck arrive randomly at a yard with a mean of 8 trucks per hour. A crew of four operatives can unload a truck in 6 minutes. Truckswaiting in queue to be unloaded are paid a waiting charge at the rate of shs 60 per hour. Operatives are paid a wage rate of shs 20 perhour. It is possible to augment the crew strength to 2 or 3 (of four operatives per crew) when the unloading time will be 4 minutes or 3minutes respectively per truck. Find the optimal crew size. [12]1A-B IHome DashboardEXA19iJL

Answered: (ii) Goods truck arrive randomly at a…

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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Lotus Yoga Products has 10 operators, and the company works 8 hours a day (8 am to 5 pm with an hour break), 5 days a week. Company is manufacturing yoga pants and the standard minute value for a line to finish one pant=20 minutes. Company produces 178 pairs of pants a day. Calculate the output, in-put and productivity (first two answers in minutes and third as a percentage). What is the number of days to finish the order for 2500 pants (round to whole number) = Required capacity needed in hours /actual capacity per day in hours
To the Internal Revenue Service (IRS), the reasonableness of total itemized deductions depends on the taxpayer's adjusted gross income. Large deductions, which include charity and medical deductions, are more reasonable for taxpayers with larg given level of income, the chances of an IRS audit are increased. Data (in thousands of dollars) on adjusted gross income and the average or reasonable amount of itemized deductions follow. Adjusted Gross Income Itemized Deductions ($1,000s) 22 ($1,000) 9.6 27 9.6 32 10.1 48 11.1 65 13.5 85 120 15.7 25.5 (a) Develop a scatter diagram for these data with adjusted gross income as the independent variable. 30 25 20 15 10 5 30 25 20 15 10 5+ 30 25- 20- 15- 10- .. 5- 0 20 40 60 80 100 120 140 Adjusted Gross Income ($1,000s) 0 20 40 60 80 100 120 140 0 Adjusted Gross Income ($1,000s) 20 40 60 80 100 120 140 Adjusted Gross Income ($1,000s) 30 25 20 15 10 5- 0 20 40 60 80 100 Adjusted Gross Income ($1,000s) 120 140 G (b) Use the least squares method to…
Jerry is considering opening a new ice cream store at a certain location on State Street in Madison. Jerry conducts some analysis and determines that a given location is acceptable only if the number of pedestrians passing the potential location averages more than 100 per hour. To check if this location is acceptable, Jerry records the number of pedestrians observed for each of 40 hours. Jerry finds that the average number of pedestrians that pass the potential location during each of the 40 hours he was observing, is 105.7 per hour. Jerry assumes that he knows the population standard deviation to be 16. Can Jerry conclude at the 1% significance level that the potential location for the ice cream store is acceptable? a. What is the correct set of hypotheses? Answer: Ho: u = 100 and H1: u> 100 v b. Determine the p-value Answer: 0.0122 c. Interpret the results Answer: There is not enough evidence d. Jerry is concerned with committing a Type II error. Determine the probability of Type II…
Suppose you are the master of the mint. If you sample 200 coins and the king has set the error tolerance at 1 ounce for individual coins, and each coin should weight 1 ounce. What is the error in the sum of the 200 coins. Round to two places.
A survey found that in a sample of 100 families, 37 owned cats. A survey done 5 years ago found that in a sample of 80 families, 34 owned cats. At ? = 0.05 has the proportion of cat owners changed over the 5-year period?
Elaine is interested in determining if men are more satisfied in their jobs than women in the healthcare industry. She administers a job satisfaction questionnaire to 20 men and 20 women working in hospital administration. Her grouping variable is gender and dependent variable is job satisfaction. The job satisfaction scale consists of 8 items measured using a 5-point rating scale. A higher score on this scale would indicate high job satisfaction. The maximum score that can be obtained on the scale is 40. We can assume that job satisfaction scores are normally distributed. Use the appropriate T test with a significance level of 0.05 to test the hypothesis. Research Question Do the mean job satisfaction scores differ for men and women working in the hospital administration department? Hypothesis- The mean job satisfaction scores do not differ for men and women working in the hospital administration department. Write a Results section based on your analysis. Interpret results of…
A researcher working at Hershey's is interested in comparing two new chocolate bars: Chocolate Bar A versus Chocolate Bar B. The researcher expects the bars to be different in how much customers will eat per month. The researcher believes the more candy bars someone eats will indicate which one tastes the best. An experiment is designed to compare the two new bars. The number of candy bars eaten by one group of 8 people in a month is measured with Candy Bar A and then the number of candy bars eaten in the same month by another group of 8 participants is measured with Candy Bar B. Use the data below to determine if there is a difference in the consumption of the two candy bars. Candy Bar A Candy Bar B Number of Candy Bars eaten within a month 10, 30, 5, 35, 60, 3, 20, 30, 28, 27, 26, 27, 17, 25 12, 20 With a = .05, determine the critical value of t* that needs to be employed here. The value of the appropriate of t* is: 2.145 O 1.717 2.064 2.819 2.074 O The correct answer is not listed.
One of the characteristics of the workday for cargo vehicle drivers is that if the driving period is less than 5 hours, the driver is entitled to a 24-minute rest break. If a driver has a driving period of 3 hours and 30 minutes, what percentage of the driving period does the rest period represent?
Elaine is interested in determining if men are more satisfied in their jobs than women in the healthcare industry. She administers a job satisfaction questionnaire to 20 men and 20 women working in hospital administration. Her grouping variable is gender and dependent variable is job satisfaction. The job satisfaction scale consists of 8 items measured using a 5-point rating scale. A higher score on this scale would indicate high job satisfaction. The maximum score that can be obtained on the scale is 40. We can assume that job satisfaction scores are normally distributed. Use the appropriate T test with a significance level of 0.05 to test the hypothesis. Research Question Do the mean job satisfaction scores differ for men and women working in the hospital administration department? Hypothesis The mean job satisfaction scores do not differ for men and women working in the hospital administration department. Compute an independent sample t test on these data. Report…
AJ’s sleep pattern had been fluctuating due to stress and diet, so he started to keep a diary of how many hours he slept each night. On the 4th night after he started the diary, AJ slept 9.4 hours, which was the most sleep he got any night. Gradually, he got less sleep each successive night until, on the 18th night after he started the diary, AJ slept 6.2 hours, which was the least sleep he got any night. After keeping his diary for 6 months, he realized that the number of hours he got each night followed a sinusoidal curve. Let t be the number of nights since he started his diary, and s be how many hours he slept that night. It may be helpful to draw a crude sketch of the sleep time function and label the known t − and s − values on it. POSITIVE or NEGATIVE SIN or COS Maximum s − value = Minimum s − value = ______________ ______________ Middle s − value = ______________ = D Amplitude = ______________ = A ⇒ B = ______________ Given the crude sketch of the height function, the…
A student pursuing a degree in English as a second language believes the proportion female factory workers who can't speak English is less than the proportion of male factory workers who can't speak English. To test her claim she randomly selects 373 female factory workers and out of them 43 could not speak English. She then randomly selects 215 male factory workers and out of them 65 could not speak English. Test her claim at .=0.05 to see if she was right. The correct hypotheses are: H : PF Pu (claim) H : PF 2 PM HA: PF < Pr (claim) H : PF = PM HA: PF + PM (claim) Since the level of signficance s0.05 the critical value is-1.64s The test statistic is pound to 3 places) The pvalue is round to 3 places) The decision can be made to oreject H, odo not reject í, The final conclusion is that: There is enough evidence to reject the claim that the proportion female factory workers who can't speak English is less than the proportion of male factory workers who can't speak English. There is…

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