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- It is important that face masks used by firefighters be able to withstand high temperatures because firefighters commonly work in temperatures of 200–500°F. In a test of one type of mask, 11 of 55 masks had lenses pop out at 250°(a)Construct a 90% CI for the true proportion of masks of this type whose lenses would pop out at 250°(b)Based on this, what would be your recommendations to the manufacturer regarding this specific face mask?A series of tests of fire prevention sprinkler systems that use a foaming agent to quell the fire were performed to determine how long it took (in seconds) for the sprinklers to be activated after the detection of a fire by the system. The system has been designed so that the true average activation time is supposed to be at most 25 seconds. Do the data strongly indicate that the design specifications have not been met? The data for the test are given below: 27 41 22 27 23 35 30 33 24 27 28 22 24A survey of 90 recently delivered women on the rolls of a county welfare department revealed that 27 had a history of intrapartum or postpartum infection. What is the critical value of z if we need to conclude that the population proportion with a history of intrapartum or postpartum infection is less than 0.25.
- The owner of a moving company typically has his most experienced manager predict the total number of labor hours that will be required to complete an upcoming move. This approach has proved useful in the past, but the owner has the business objective of developing a more accurate method of predicting labor hours. In a preliminary effort to provide a more accurate method, the owner has decided to use the number of cubic feet moved as the independentvariable and has collected data for 36 moves in which the origin and destination were within the borough of Manhattan in New York City and in which the travel time was an insignificant portionof the hours worked. The intercept for the sample regression line that the owner has computed is -2.37 and the slope is 0.04. If the actual number of labor hours for moving 407 cubic feet is 33.47. What is the error of prediction? Hint: Provide answer accurate to 2 decimal places.A worker with a weight of 65 kg and a body surface area of 1.74 , performs physical work activities in several work environments as shown in the following table. The work activities of these workers require energy and a measured metabolic rate of 400 W/m2. During their work activities, the worker wears a coverall made of polyolefin and wears a headgear (1) Calculate the average WBGT of the work environment. (2) Perform an analysis related to the heat stress experienced by the worker, if the worker performs his work activities for 75% of his total working time and the rest is rest, (note: use TLV from ACGIH and ISO 7243)Dr. Castillejo feels that the maximum pulse rate during the run is a good predictor in explaining the oxygen consumption in the blood stream. He asserts that if the pulse rate at the end of the run increased, then the oxygen consumption will also increase, hence his/her heart is functioning well. Based on the R commanderoutput below, check if the data on oxygen consumption and maximum pulse rate (from 152 bpm to 196bpm) support Dr. Castillejo’s assertion.
- Suppose that a company must service customers lying in an area of A square miles with n warehouses. Kolesar and Blum showed that when the warehouse(s) are located properly, the average distance between a warehouse and a customer is (????)12. Assume that it costs the company $90,000 per year to maintain a warehouse and $5,000,000 to build a warehouse. Also, assume that this $5,000,000 building cost is equivalent to incurring a cost of $500,000 per year indefinitely. The company fills 180,000 orders per year, and the shipping cost per order is $1.25 per mile. If the company serves an area of 120 square miles, how many warehouses (make it as an integer variable) should it have?Suppose a person carrying a corona virus returns to an isolated housing colony of 10,000 people. If it is assumed that the rate at which the covid-virus spreads is proportional not only to the number of infected people but also to the number of people not infected, determine the number of infected people after a week if it is further observed that after 5 days the number of infected people are 500.Suppose μ1 and μ2 are true mean stopping distances at 50 mph for cars of a certain type equipped with two different types of braking systems. The data follows: m = 8, x = 114.6, s1 = 5.03, n = 8, y = 129.3, and s2 = 5.38. Calculate a 95% CI for the difference between true average stopping distances for cars equipped with system 1 and cars equipped with system 2. (Round your answers to two decimal places.) ,
- It is desired to know the true proportion of divers who get "the bends" (sickness from nitrogen in the blood). If we wanted to be 92% confident that the maximum margin of error is 0.04, how large a sample is needed if a previous study found that 21% of divers suffered from "the bends"?To test the claim that the resistance of electric wire can be reduced by more than 0.050 ohm by alloying, 25 values obtained for alloyed wire yielded an average of 0.083 ohm with s = 0.003 ohm, and 25 values obtained for standard wire yielded an average of 0.086 ohm with s = 0.002 ohm. Use 5% level f significance to determine whether the claim has been substantiated. What is the computed value and decision?