Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. The area of the shaded region is (Round to four decimal places as needed.). C... 80
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- Find the absolute deviation and the coefficient of variation for the result of this: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.A trading magazine wants to determine the number of hours stock brokers work each week. In particular, the trading magazine wants to determine if the median numbers worked per week differs from 100 hours. The magazine samples 18 traders. For the Wilcoxon Signed-Rank Test, the value of the test statistic isT= T+= 153 . Conduct the test at 0.05
- At a hair salon, customers arrive at the rate of 3 customers per hour. The standard deviation of the time between two consecutive arrivals is estimated as 9 minutes. On average, it takes a customer 25 minutes to complete the service (regardless of which hairdresser provides the service). The coefficient of variation of the service time is estimated as 0.8. What is the standard deviation of the service time in minutes?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.A population has µ = 50. Which value of σ would make X = 55 an extreme value out in the tail of the population distribution?
- The distribution of the height of males in the U.S. is roughly normally distributed with a mean of 70 inches and a standard deviation of 3 inches. (a) Draw a normal curve with the parameters labeled. (b) Shade the region on your drawing that represents the proportion of males in the U.S. that are 68 inches tall or taller. (c) Suppose the area under the normal curve to the right of x=74 is 0.0912. Provide two interpretations of this result.A 1995 study shows that since records were first kept in a meteorologist's hometown, the average temperature during the month of May was μ = 68 degrees. The meteorologist then looks up the average temperatures for each of the 25 Mays since then, and finds their sample mean to be x = 73 and their standard deviation to be s = 8.55 degrees. Can the meteorologist claim that the average temperature for May is different from how it used to be? Use a 1% level of significance.for data set of the pulse rates for a sample of adult females the lowest pulse rate is 36 bpm the mean of the list of pulse rate is X bar equals 72 bpm and their standard deviation is 12.9 bpm. what is the difference between the pulse rate of 36 bpm and the meatballs rid of the females how many celebrations is that the difference found in part a convert the pulse rate of 36 bpm to a z score if we consider pulse rates that convert to a Z score between -2 and 2 to be neither significantly lower significantly high is the pulse rate of 36bpm significant
- The graph to the right depicts IQ scores of adults, which are normally distributed with a mean of 100 and a standard deviation of 15. Find the indicated IQ score, labeled X on the graph, such that the area to the right of X is 0.55.. A student scored 70 on a physics exam where theclass mean is 80 and a SD of 9. He scored 60 on aStatistics exam with a mean of 62 and a SD of 4. Inwhich class his relative position is higher.