Given that the mean number of centuries scored per player is 1.95, find the value of k.
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- The control department of a light bulb manufacturer randomly picks 4400 light bulbs from the production lot every week. The records show that, when there is no malfunction, the defect rate in the manufacturing process (due to imperfections in the material used) is 1%. When 1.25% or more of the light bulbs in the sample of are defective, the control unit calls repair technicians for service.(a) Find the mean of p, where is the proportion of defective light bulbs in a sample of 4400 when there is no malfunction. (b) Find the standard deviation of p. (c) Compute an approximation for P(p greater than/equal to 0.0125), which is the probability that the service technicians will be called even though the system is functioning properly. Round your answer to four decimal places.The control department of a light bulb manufacturer randomly picks 4400 light bulbs from the production lot every week. The records show that, when there is no malfunction, the defect rate in the manufacturing process (due to imperfections in the material used) is 1%. When 1.25% or more of the light bulbs in the sample of 4400 are defective, the control unit calls repair technicians for service. a)Find the mean of p, where p is the proportion of defective light bulbs in a sample of 4400 when there is no malfunction. b)Find the standard deviation of p. c)Compute an approximation for P≥p0.0125, which is the probability that the service technicians will be called even though the system is functioning properly. Round your answer to four decimal places.The control department of a light bulb manufacturer randomly picks 4400 light bulbs from the production lot every week. The records show that, when there is no malfunction, the defect rate in the manufacturing process (due to imperfections in the material used) is 1% . When 1.25% or more of the light bulbs in the sample of 4400 are defective, the control unit calls repair technicians for service. Find the mean of p , where p is the proportion of defective light bulbs in a sample of 4400 when there is no malfunction. Find the standard deviation of p . Compute an approximation for P≥p0.0125 , which is the probability that the service technicians will be called even though the system is functioning properly. Round your answer to four decimal places.
- The control department of a light bulb manufacturer randomly picks 4400 light bulbs from the production lot every week. The records show that, when there is no malfunction, the defect rate in the manufacturing process (due to imperfections in the material used) is 1%. When 1.25% or more of the light bulbs in the sample of 4400 are defective, the control unit calls repair technicians for service. Answer the following. (If necessary, consult a list of formulas.) (a)Find the mean of p, where p is the proportion of defective light bulbs in a sample of 4400 when there is no malfunction. (b)Find the standard deviation of p. (c)Compute an approximation for P≥p0.0125, which is the probability that the service technicians will be called even though the system is functioning properly. Round your answer to four decimal places.An industrial supplier has shipped a truckload of teflon lubricant cartridges to an aerospace customer. The customer has been assured that the mean weight of these cartridges is in excess of the 10 ounces printed on each cartridge. To check this claim, a sample of n=10 cartridges are randomly selected from the shipment and carefully weighed. Summary statistics for the sample are: x=10.11 ounces, s=.30 ounce To determine whether the supplier's claim is true, consider the test, H 0: μ = 10 vs. H a: μ > 10 vs. where μ is the true mean weight of the cartridges. Find the rejection region for the test using a=.01 t > 3.25, where t depends on 9 df |z| > 2.58 z > 2.33 t > 2.821, where t depends on 9 dfA company manufacturers tennis balls. When its tennis balls are dropped onto a concrete surface from a height of 100 inches, the company wants the mean height the balls bounce upward to be 54.5 inches. This average is maintained by periodically testing random sampkes of 25 tennis balls. If the t-value falls between -t0.99 and t0.99, then the company will be satisfied that it is manufacturing acceptable tennis balls. A sample of 25 balls is randomly selected and tested. The mean bounce height of the sampke is 56.4 inches and the standard deviation is o.25 inch. Assume the bounce heights are approximately normally distributed. Is the company making acceptablr tennis balls? Find -t0.99 and t0.99 Find the t-value Is the company making acceptable tennis balls?
- Parker's Pavers has determined that a paver measuring 5 inches long has a z-score of +1 and a paver measuring 5.5 inches long has a z-score of +2.What is the mean length of the pavers produced at Parker's Pavers?The control department of a light bulb manufacturer randomly picks 4400 light bulbs from the production lot every week. The records show that, when there is no malfunction, the defect rate in the manufacturing process (due to imperfections in the material used) is 1% . When 1.25% or more of the light bulbs in the sample of 4400 are defective, the control unit calls repair technicians for service. Answer the following. (If necessary, consult a list of formulas.) (a)Find the mean of p, where pis the proportion of defective light bulbs in a sample of 4400when there is no malfunction. (b)Find the standard deviation of p . (c)Compute an approximation for P≥p0.0125 , which is the probability that the service technicians will be called even though the system is functioning properly. Round your answer to four decimal places.During the Saint Louis University Foundation Day, the Director of Physical Education recorded the mean height of 37 male students who showed average participation was 70.3 inches with inches, while 32 male students who showed no interest in participation had a mean height of 69.1 inches with inches. Is the director justified that male students who showed average participation during the foundation day are taller than the other male students who showed no interest in participation? Assume that the height is normally distributed.
- Assume that anxiety scores as measured by an anxiety assessment inventory arenormally distributed with μ = 20 and σ = 4. A sample of 4 patients who areundergoing treatment for anxiety is randomly selected, and their mean anxiety scoreX = 22. Is the average anxiety score from patients who are under treatmentsignificantly different from 20? Assume a = .10.A group of 320 male students from the local high school have a mean mass of 70.41 kg. Records of similar students countrywide show a mean mass of 70.0 kg. A researcher wishes to determine whether the local students differ from the national group. what would be the research problem?