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The quality control manager at a light bulb factory needs to estimate the average life of a large shipment of light bulbs. A random sample of 64 light bulbs indicated a sample average life of 300 hours with a sample standard deviation of 100 hours.
(a) Set up a 95% confidence interval estimate of the true average life of light bulbs in this shipment.
(b) Do you think the manufacturer has the right to state that the light bulbs last an average of 400 hours? Justify your answer.
(c) Explain why an observed value of 250 hours is not unusual for an individual light bulb, even though it is outside the confidence interval you calculated.
An olympic archer is able to hit the bull's-eye 70% of the time. Assume each shot is independent of the others. If she shoots 6 arrows, what is the probablitly that she never misses?
Discuss what is meant by mean, median, mode, variance, and standard deviation for a set of scores. Also mention under what circumstance you would use each of these.
An automobile assembly line operation has a scheduled mean completion time,u , of 12.6 minutes. The standard deviation of completion times is 1.8 minutes.
Determining the strength of a correlation is very important to determine how well one variable can predict another. To determine the strength of a correlation, we have to calculate the correlation coefficient, r.
A survey found that the variance of the rental rates on 8 cars at the airport was 35.7 while the variance of the rental rates on 5 cars down town was 50.4. What test value should be used in a F test?
A simple random sample of 1600 families is chosen. What is the chance that between 9% and 11% of the sample families will not own car?
List all outcomes corresponding to the five smallest possible values of Y, and state which Y value is associated with each one.
Standard deviation of 5. suppose 100 golfers played the course today. Find the probability that the average score of the 100 golfers exceeded 74.
The Rathburn Manufacturing Company makes electric wiring, which it sells to contractors in the construction industry. Approximately 900 electric contractors purchase wire from Rathburn annually.
In a random sample of 26 people, the mean number of books they had read in the past year was 14.93 books and the standard deviation was 16.60 books.
Such tv are randomly selected and checked to determine what is being watch. Would it be unusual to find that 954 of the 2500 tvs are tuned to eyewitness news?
A number of minor automobile accidents occur at various high-risk intersections in Teton County despite traffic lights. The Traffic Department claims that a modification in the type of light will reduce these accidents.
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