How many of these components leach having a failure rate of 0.005 failures per hour) must be placed in paralel if the system is to run for 10 hours with a system failure probability of more than 0.0005? Assume that all failures are independent.
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- A Texas Garden Center wants to store leftover packets of vegetable seeds from their spring sale to have for their fall sale, but the center is concerned that the seeds may not germinate at the same rate six months later. The manager randomly selects a packet of green bean seeds remaining from the spring sale and plants them as a test. Although the packet claims a germination rate of 92% of the seeds, only 171 of the 200 test seeds sprout. Is this evidence that the seeds have lost viability during their six months in storage?The number of Muslims continues to grow throughout the world, and they are currently thesecond-largest religious group in the world. Knowing that this group has been the target of falsebeliefs about their religion, a researcher is interested in whether people who have moreinteractions with Muslim people are less likely to believe negative statements about Islam. To dothis, they surveyed a large sample of participants across Western Europe and asked themquestions about how frequently they interact with Muslim people as well as how much theyagreed with negative statements about Islam. What statistical test should be used to determine ifthere if how frequently survey participants interact with Muslim people predicts how likely theyare to agree with a negative statement about Islam? Assume parametric assumptions are met. A. Is this a relationship test or a difference test? Explain your rationale. B.Suppose that the makers of Duracell batteries want to demonstrate that their size AAbattery lasts an average of at least 45 minutes longer than Duracell’s main competitor,the Energizer. Two independent random samples of 100 batteries of each kind areselected, and the batteries are run continuously until they are no longer operational. Thesample average life for Duracell is found to be 308 minutes. The result for the Energizerbatteries is 254 minutes. Assume the entire AA batteries standard deviation 84 minutesand Duracell batteries 67 minutes. Is there evidence to substantiate Duracell’s claim thatits batteries last, on average, at least 45 minutes longer than Energizer batteries of thesame size? (assuming equal population variances)
- An organization published an article stating that in any one-year period, approximately 11.5 percent of adults in a country suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, nine of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult population in the country. At a pre-conceived α = 0.05, what are your following?Decision: , Reason for the decision: ,Conclusionthe local survey has reported that 38% of corona cases in 2019 werevresistant to at leat 1 of gthe 3 major antibioticsd used to treat corona.a doctor treated 10 cases of corona in 2019 find the prob that 1 or more out of the 10 were resistant to all the 3 antibiotics .A certain prescription drug is known to produce undersirable side effects in 30% of all patients who use the drug. Among a random sample of 6 patients using the drug, find the proabability of no patient having the undersirable side effects.
- A 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. Can we conclude that the population proportion with a history of intrapartum or postpartum infection is significantly less than or equal to 0.25? Let alpha = 0.05.A 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. Can we conclude that the population proportion with a history of intrapartum or postpartum infection is less than or equal to 0.25. Let alpha = 0.05A large research project showed that in a sample of 750 adults, 60 of them experienced a midlife crisis . Use this data to test the claim that the percentage of adults who experienced midlife crisis is less than 10%. Use (alpha)= 0.05 .
- 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…At a toll-booth on-ramp there is a stochastic arrival distribution. Vehicles are counted in 20-second intervals, and vehicle counts are taken in 120 of these time intervals. Based on data collected, no vehicles arrived in 18 of the 120 count intervals. What is the number of the 120 intervals that 3 cars arrived?Suppose that the link speed is 8 Mbps, the demand bandwidth of each active user is 1000Kbps. The active probability of each user is 10%. How much user can support under the block probability is less than 0.008?