Fifty parts are tested for 500 cycles each. When a part fails, it is replaced by another one. At the end of the test, 5 parts had failed. What is the failure rate?
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A: *Answer:
a) Fifty parts are tested for 500 cycles each. When a part fails, it is replaced by another one. At the end of the test, 5 parts had failed. What is the failure rate?
b)Determine the reliability at t = 3500 cycles for Example Problem 11-10, where the mean life of a constant failure rate is 3704 cycles. What is the reliability at t = 3650 cycles? At 3900 cycles?
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- Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.The Prevalence per 10,000 population of having health insurance for 1 (Table 5 box s. above) is: The Prevalence per 10,000 population of having health insurance for 2 (Table 5 box w. above) is:An item is to be constructed by laying three components in a row. The length of eachcomponent will be measured.a) If the uncertainty in measuring the length of each component is 1.2 mm, what is the uncertainty in the combined length of the three components?b) If it is desired to estimate the length of the item with an uncertainty of 0.5 mm, what must be the uncertainty in the measurement of each individual component? Assume the uncertainties in the three measurements are the same.
- Item 9 At a research facility that designs rocket engines, researchers know that some engines fail to ignite as a result of fuel system error. From a random sample of 40 engines of one design, 14 failed to ignite as a result of fuel system error. From a random sample of 30 engines of a second design, 9 failed to ignite as a result of fuel system error. The researchers want to estimate the difference in the proportion of engine failures for the two designs. Which of the following is the most appropriate method to create the estimate? A one-sample z-interval for a sample proportion A A one-sample z-interval for a population proportion B A two-sample z-interval for a population proportion C A two-sample z-interval for a difference in sample proportions D A two-sample z-interval for a difference in population proportionsQuestion 3 A survey sponsored by The American Dietetic Association and the agribusiness giant ConAgra found that 53% of office workers take 30 minutes or less for lunch each day. Approximately 37% take 30 to 60 minutes, and 10% take more than an hour. What additional information you want to know before you accepted the results of the survey? 2. Discuss the four types of survey errors in the context of this surveyYou have received a radioactive mass that is claimed to have a mean decay rate of at least 1 particle per second. If the mean decay rate is less than 1 per second, you may return the product for a refund. Let X be the number of decay events counted in 10 seconds. a) If the mean decay rate is exactly 1 per second (so that the claim is true, but just barely), what is P(X ≤ 1)? b) Based on the answer to part (a), if the mean decay rate is 1 particle per second, would one event in 10 seconds be an unusually small number? c) If you counted one decay event in 10 seconds, would this be convincing evidence that the product should be returned? Explain. d) If the mean decay rate is exactly 1 per second, what is P(X ≤ 8)? e) Based on the answer to part (d), if the mean decay rate is 1 particle per second, would eight events in 10 seconds be an unusually small number? f) If you counted eight decay events in 10 seconds, would this be convincing evidence that the product should be returned? Explain.
- Experiment 1: An agronomist wanted to compare the yield of three different varieties of rice (A, B, C). So, within a field, he randomly assigned each variety to five plots. The yield[s] in pounds per acre were recorded for each plot. Go back to the original experiment in (1) where we are only interested in variety, not fertilizer. The agronomist realized that he wanted his results to apply over a range of soil conditions. So, he decided to conduct the experiment on 4 different locations (subdivisions) in a field so that the elevation and type of soil vary. He planted each variety on one plot within each subdivision of the field. Again, the yield[s] in pounds per acre were recorded for each plot. (d) What are the experimental units in the study? How many are there in total? (e) What is the name of the design of this experiment? (Single factor, two-factor, block) (f) Outline the design of the experiment.Experiment 1: An agronomist wanted to compare the yield of three different varieties of rice (A, B, C). So, within a field, he randomly assigned each variety to five plots. The yield[s] in pounds per acre were recorded for each plot. Go back to the original experiment in (1) where we are only interested in variety, not fertilizer. The agronomist realized that he wanted his results to apply over a range of soil conditions. So, he decided to conduct the experiment on 4 different locations (subdivisions) in a field so that the elevation and type of soil vary. He planted each variety on one plot within each subdivision of the field. Again, the yield[s] in pounds per acre were recorded for each plot. (a) What is the response in the study? (b) What is the factor in the study? What are the factor levels? (c) What are the treatments? What are the blocks, if any?
