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- An explosion at a construction site could haveoccurred as the result of static electricity, malfunctioningof equipment, carelessness, or sabotage. Interviews withconstruction engineers analyzing the risks involved ledto the estimates that such an explosion would occur withprobability 0.25 as a result of static electricity, 0.20 as aresult of malfunctioning of equipment, 0.40 as a result ofcarelessness, and 0.75 as a result of sabotage. It is alsofelt that the prior probabilities of the four causes of theexplosion are 0.20, 0.40, 0.25, and 0.15. Based on all thisinformation, what is(a) the most likely cause of the explosion;(b) the least likely cause of the explosion?The television show Lett3rs has been successful for many years. That show recently had a share of 19, which means, that among the TV sets in use, 19% were tuned to Lett3rs. An advertiser wants to verify that 19% share value by conducting its own survey, and a pilot survey begins with 10 households have TV sets in use at the time of a Lett3rs broadcast. If at most one household is tuned to Lett3rs, does it appear that the 19% share value is wrong? (Hint: Is the occurrence of at most one household tuned to Lett3rs unusual?) A. no, it is not wrongB. yes, it is wrongFor example, for student ID s1243657, the 4th digital of s1243657 is “3”, therefore variable “A” is “Use interactive activities”; the 5th digital of s1243657 is “6”, therefore variable “B” is “Give a lot of assignments”; the 6th digital of s1243657 is “5”, therefore variable “C” is “Good communication skills. Take student id S12042516 as an example. With the data collected, Dr Tian ran a test to see if there were significant relationships between A, B, C and satisfaction toward e-learning. i ) Suggest the test that should be used and explain your reason. State the independent and dependent variables, underlying null and alternative hypotheses.
- We wish to demonstrate that the average time to graduate from Tulane is affected by the students having taken AP calculus in high school. Specially, we wish to demonstrate that students who have taken AP calculus in high school graduate an average of more than 0.25 years sooner than students who have not taken AP calculus in high school. If we let denote the average time to graduate for students who have not taken AP calculus and denotes the average time to graduate for students who have taken AP calculus, then select the appropriate alternative hypothesis.The past records of a supermarket show that its customers spend an averageof $95 per visit at this store. Recently the management of the store initiated a promotionalcampaign according to which each customer receives points based on the total moneyspent at the store, and these points can be used to buy products at the store. Themanagement expects that as a result of this campaign, the customers should beencouraged to spend more money at the store. To check whether this is true, the managerof the store took a sample of 14 customers who visited the store. The following data givethe money (in dollars) spent by these customers at this supermarket during their visits. 109 136 107 116 101 109 110 94 101 97 104 83 67 120Assume that the money spent by all customers at this supermarket has a normaldistribution. Using a 5% significance level, can you conclude that the mean amount ofmoney spent by all customers at this supermarket after the campaign was started is morethan $95?We wish to demonstrate that the average time to graduate from college is affected by the students having taken AP calculus in high school. Specifically we wish to demonstrate that students who have taken AP calculus in high school gradate an average of at most 0.25 years sooner than students who have not taken AP calculus in high school. If we let μ1 demote the average time to graduate for students who have not taken AP calculus and μ2 denote the average time to graduate for students who have taken AP calculus, then select the appropriate alternative hypothesis: a. μ1-μ2 = 0 b. μ1-μ2-0.25 < 0 c. μ1-μ2-0.25>0 Please explain
- To inspect the quality of the screens for mobile phones produced by Company X, two separate inspection devices are used to test the screens for defects. Basically, a specific screen is tested once using the two inspection devices. Device 1 can detect the presence of defects 99.3% of the time, whereas Device 2 can detect defects 99.7% of the time. Assume that the 2 devices are operating independently from each other. One day, four defective screens were sent for inspection. Let X represent the number of screens that will be correctly tagged as defective by Device 1, while Y represents the number of screens that will be correctly tagged as defective by Device 2. Are X and Y independent? explainAn embroidery business in the city of Obregon manufactures clothing, has seen high demand in the months of September-October 2020.The following data was collected: A total of 6000 Levis pants were manufactured in the month of September and October, which qualified as a demanding product. The stand was working hard, in a total of 60 days, from Monday to Sunday, 8 hours shifts, of that time 15 min were for changing the embroidery rolls and one hour for the workers. Due to the high demand of these months there are no Kanban times. Instructions: Determine the parts per hour of work that were produced during the months of September and October 2020. Important: Use the formula (the one I put in the image)A company receives a large shipment of bolts. The bolts will be used in an application that requires a torque of 100 J. Before the shipment is accepted, a quality engineer will sample 12 bolts and measure the torque needed to break each of them. The shipment will be accepted if the engineer concludes that fewer than 1% of the bolts in the shipment have a breaking torque of less than 100 J. a) If the 12 values are 107, 109, 111, 113, 113, 114, 114, 115, 117, 119, 122, 124 compute the sample mean and sample standard deviation. b) Assume the 12 values are sampled from a normal population, and assume the the sample mean and standard deviation calculated in part (a) are actually the population mean and standard deviation. Compute the proportion of bolts whose breaking torque is less than 100 J. Will the shipment be accepted? c) What if the 12 values had been 108, 110, 112, 114, 114, 115, 115, 116, 118, 120, 123, 140? Use the method outlined in parts (a) and (b) to determine whether the…
- A soda company sells one of its soft drinks in 12 ounce cans. In order to ensure that every can has at least 12 ounces in it, the machines in the factory are set to fill each can with an average of 12.1 ounces of soda. Every week, a quality-control technician tests 10 cans to make sure that the average amount of soda in the cans is still 12.1 ounces. If the conclusion of the test is that the number of ounces of soda in the cans is different from 12.1, the technician will declare that the process is out of control, and the machine will be stopped and calibrated. From previous tests, the technician found that the standard deviation of the number of ounces of soda in the cans is approximately 0.01. The number of ounces of soda in the 10 cans that were tested this week is given below. Assume that the standard deviation from the technician's previous tests is the population standard deviation. Use a TI-83, TI-83 Plus, or TI-84 calculator to test whether filling process is out of control and…A new cataracts removal procedure for persons older than 60 years of age with degrading vision from formation of cataracts has been tested with a success rate of 95%. This means that 95% of procedures result in improved vision. Without the procedure patient vision will degrade, and among the 5% whose vision is not improved, degradation will stop except 0.1% of patients undergoing the procedure whose vision will continue to degrade. Quality vision, in Pinehurst, offers this procedure to its patients. In June, 25 people are scheduled to undergo the procedure. Answer the following questions about the probabilities associated with these 25 scheduled procedures. What is the percent probability that at least 1 person will suffer degraded vision among these 25 procedures? Round to nearest hundredth. What is the percent probability that all 25 patients will have a successful procedure? Round to nearest hundredth. What is the expected number of procedures among the 25 procedures that will…Suppose insurance agency services customers who have both a homeowner’s policy and an automobile policy. For each type of policy, a deductible amount must be specified. For an automobile policy, the choices are TZS100 and TZS250, whereas for a homeowner’s policy, the choices are 0, TZS100, and TZS200. Suppose also that an individual is selected at random from the agency’s files. Let X = his deductible amount on the auto policy and Y = his deductible amount on the homeowner’s policy (a) What are the possible (X, Y) pairs? (b) Suppose the joint probability mass function is given by the insurance company in the accompanying joint probability in the following Table Table: Discrete Joint Probability Distribution for X and Y P(x,y) 0 100 200 X 100 0.2 0.10 0.2 250 0.05 0.15 0.3 What is p (100, 100) What is P (Y greater than 100)?