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- 2. Factory A produces a solution of 40% concentration of chemical Y at a rate of 7 kg/min, while factory B produces a solution of 20% concentration of chemical Y at a rate of 4 kg/min. Both solutions are fed into a mixer containing 60 kg of a 25% concentration solution of chemical Y. The mixture leaves the mixer at a rate of 10 kg/min. Assuming uniform mixing, what will be the concentration of chemical Y in the final solution after 20 minutes?2)The problem of traffic delay in a highway can be studied in the following way. Let us assume that the probability of no traffic delay in one period, given no traffic delay in previous period, is 0.85 and that the probability of finding a traffic delay in one period, given a delay in the previous period is 0.75. The period of time is 30 minutes.1. Define the approach that should be used to solve the problem and identify all your inputs of the model6 2. Verify if one important assumption of the model should be questioned. Explain why.3. Assume that you are entering the traffic with your care in that highway and you receive a radio report of no traffic delay. What is the probability that for the next period there will be a delay.4. Assume that you are entering the traffic with your care in that highway and you receive a radio report of traffic delay. What is the probability that for the next hour there will be a delay. Use a tree diagram to answer the question.5. What is the probability…A study was conducted by researchers to determine if application of duct tape is more effective than cryotherapy (liquid nitrogen applied to the wart for 10 seconds every 2 to 3 weeks) in the treatment of common warts.The researchers randomly divided 40 patients into two groups. The 20 patients Group 1 had their warts treated by applying duct tape to the wart for 6.5 days and then removing the tape for 12 hours, at which point the cycle was repeated, for a maximum of 2 months. The 20 patients in group 2 had their warts treated by cryotherapy for a maximum of six treatments.Once the treatments were complete, it was determined that 17 patients in Group 1 (duct tape) and 11 patients in Group 2 (cryotherapy) had complete resolution of their warts. Conduct a hypothesis test to address the research question whether application of duct tape is more effective than cryotherapy in the treatment of common warts. Set a = 0.05
- A study was conducted by researchers to determine if application of duct tape is more effective than cryotherapy (liquid nitrogen applied to the wart for 10 seconds every 2 to 3 weeks) in the treatment of common warts. The researchers randomly divided 40 patients into two groups. The 20 patients Group 1 had their warts treated by applying duct tape to the wart for 6.5 days and then removing the tape for 12 hours, at which point the cycle was repeated, for a maximum of 2 months. The 20 patients in group 2 had their warts treated by cryotherapy for a maximum of six treatments. Once the treatments were complete, it was determined that 17 patients in Group 1 (duct tape) and 11 patients in Group 2 (cryotherapy) had complete resolution of their warts. (Source: Archives of Pediatrics and Adolescent Medicine, 156(10), 2002). Conduct a hypothesis test to address the research question whether application of duct tape is more effective than cryotherapy in the treatment of common warts. Set…A machine shop has an order for 12,000 pcs. of a machine part that requires anti-corrosive properties. Chromium steel alloy that cost Php 95.00/ kg or Nickel steel alloy that cost Php 85.00 /kg may be used. The weight per piece, production per day and tool bit replacement cost for Cr-alloy are: 0.25 kg, 75 pcs and Php 1,600 every 400 pcs. Produced. The respective date for Ni-alloy are 0.3 kg, 50 pcs. And Php 1,800.00 for every 300 pcs. produced. If the charge for the labor and other operating cost is Php 450.00/day with all other expenses being the same, determine which material should be used.A study was conducted by researchers to determine if application of duct tape is more effective than cryotherapy (liquid nitrogen applied to the word for 10 seconds every 2 to 3 weeks) in the treatment of common warts. The researchers randomly divided 40 patients into two groups. The 20 patients group 1 had their warts treated treated by applying duct tape to the wart for 6.5 days and then removing the tape for 12 hours, at which point the cycke was repeated, for a maximum of 2 months. The 20 patients in group 2 had their warts treated by cryotherapy for a maximum of six treatments. Once the treatments were complete, it was determined that 17 patients in group 1 (duct tape) and 11 patients in group 2 (cryotherapy) had complete resolution of their warts. (Source: Archives of pediatrics and adolescent medicines, 156(10), 2002. conduct a hypothesis test to address the research question whether application of duct tape is more effective than cyrotherapy in the treatment of common warts.…
- The cashier line of a canteen can facilitate up to 60 customers an hour. Frequenters of thecanteen arrive at an average of 50 an hour. Suppose that management wants toevaluate the desirability of opening a second order-processing station so that twocustomers can be served simultaneously. Assume a single waiting line with the firstcustomer in line moving to the first available server.a. What is the average arrival time in minutes of customers?b. What is the average service time in minutes of the canteen?c. What is the probability that the canteen has a customer?d. What is the probability that the canteen does not have any customer?e. How long would the line be on average (average number of customers in thesystem)?f. How many people are waiting to be served on average?g. How long in minutes would it take the customer from lining up until he leaves thewaiting line?h. How long in minutes would a customer wait to be served on average?i. Find the probability that there are 7 customers in the…A building contains 1000 lightbulbs. Each bulb lasts at most five months. The company maintaining the building is trying to decide whether it is worthwhile to practice a “group replacement” policy. Under a group replacement policy, all bulbs are replaced every T months (where T is to be determined). Also, bulbs are replaced when they burn out. Assume that it costs $0.05 to replace each bulb during a group replacement and $0.20 to replace each burned-out bulb if it is replaced individually. How would you use simulation to determine whether a group replacement policy is worthwhile?A project requires an initial outlay of $92000 and produces a return of $30000 at the end of year 1, $40000 at the end of year 2, and $42xyz at the end of year 3, where x, y, z are the last three digits of your student code (for example: if a student code is 17071365 then x = 3, y = 6, z = 5 and $42xyz=$42365). a/ Use the trial-and-error method or another appropriate method to determine the internal rate of return IRRof the project (express IRR in percentage, rounded to one decimal place); b/ Find the net present value NPV of the project if the market rate r is equal to the value of IRR as found above, then give a comment.
- what is 1. P value 2. Z value 3. Critical value 4. Reject or do not reject 5. State conclusionIn a Right Tailed Hypothesis test, the test statistic was found to be Z=2.74The rejection region included values greater than the critical value Zc=2.02 The conclusion would be to... Reject the null hypothesis because the test statistic is NOT in the rejection region Fail to reject the null hypothesis because the test statistic is in the rejection region Fail to reject the null hypothesis because the test statistic is NOT in the rejection region Reject the null hypothesis because the test statistic is in the rejection region Accept the null hypothesis because the test statistic is NOT in the rejection regionFind the work done in emptying the tank in example 4. If the tank water is pumped to a level 1.00 meters above the top of the tank and the water is initially 4.00 meters deep.
