Find the standard deviation of these battery lifetimes, if 90% of these batteries do not achieve a lifetime of 411 hours.
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- A tubes lifetime for your company's microwave follow an exponential distribution with a mean of 5.6 years. Your sales policy states that each magnetron tube has a two year warranty. What fraction of the tubes should your company plan to replace under warranty?The life of light bulbs is distributed normally. The variance of the lifetime is 225225 and the mean lifetime of a bulb is 590590 hours. Find the probability of a bulb lasting for at most 607607 hours. Round your answer to four decimal places.A paper manufacturer has a production process that operates continuously throughout an entire production shift. The paper is expected to have a mean length of 11 inches, and the standard deviation of the length is 0.02 inch. At periodic intervals, a sample is selected to determine whether the mean paper length is still equal to 11 inches or whether something has gone wrong in the production process to change the length of the paper produced.You select a random sample of 100 sheets, and the mean paper length is 10.998 inches. Construct a 99% confidence interval estimate for the population mean paper length.
- Suppose that the length of long distance phone calls, mea- sured in minutes, is known to have an exponential distribution with the average length of a call equal to 15 minutes. Find the CDF.The life (in months) of a certain computer component is exponentially distributed with mean 5. Find the probability that a component randomly selected will last between 14 and 21 months?Researchers fed mice a specific amount of Toxaphene, a poisonous pesticide, and studied their nervous systems to find out why Toxaphene causes tremors. The absolute refractory period, time required for nerves to recover after a stimulus, was measured and varies Normally. The measurements, in milliseconds, for four mice were 1.7, 1.8, 1.9, and 2.0. Part A: Find the mean refractory period and the standard error of the mean. Part B: Calculate a 90% confidence interval for the mean absolute refractory period for all mice when subjected to the same treatment. Part C: Suppose the mean absolute refractory period for unpoisoned mice is known to be 1.3 milliseconds. Toxaphene poisoning should slow nerve recovery and therefore increase this period. Do the data give good evidence to support this theory? What can you conclude from a hypothesis test? Justify your response with statistical reasoning.
- Suppose a population of propane tanks has an average lifespan of 47 hours ans a standard deviation of 3 hours. What proportion of propane tanks will die out before 44 hours. Round to three decimal places, for example 0.286Suppose that the lifetimes of a certain kind of light bulb are normally distributed with a standard deviation of 120 hours. If exactly 99% of the bulbs die before 925 hours, find the mean lifetime of the bulbs. Carry your intermediate computations to at least four decimal places. Round your answer to at least one decimal place. hours X ŚStudies of a specific enzyme activity showed that the time the enzyme activity before complete inactivity is exponentially distributed with a mean of 12 hours. Determine the failure rate
- A basketball player has a 60% foul-shooting percentage. Let Y denote the shot on which she makes her first free throw. Write down a general formula for the pdf.According to the CDC, cholesterol levels can be reduced by following a healthy diet, getting regular exercise, and reducing the amount of alcohol consumed on a weekly basis. One method of monitoring overall cholesterol levels is to calculate your cholesterol ratio (LDL/HDL), in general a cholesterol ratio between 3.5 and 5.0 is considered to be healthy for most adults. Suppose you are a clinical researcher testing the effects of these lifestyle changes on patient cholesterol levels. In order to determine if following these guidelines helps to reduce overall cholesterol, a total of 18 participants (N = 18) with moderate to high cholesterol ratios (i.e., 3.91 to > 5.0) were recruited for a healthy lifestyle study and their cholesterol ratio was calculated three times over a six week period: Week 0 (baseline), Week 3, and Week 6. Using the variables "Week 0", "Week 3", and "Week 6" in the data set, conduct a One-Way, Within Subjects (AKA Repeated Measures) ANOVA, at α = 0.05, to see…A study conducted by Hershey's discovered that Americans consumed an average of 11.4 pounds of chocolate per year. Let's assume that the annual chocolate consumption follows the Normal distribution with mean 11.4 pounds and a standard deviation of 3.6 pounds. Answer the following questions, performing all computations with Excel functions.