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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.
Provided that the selected student excels in sports, determine the probability that the student is a boy?
A box contains 10 chips. The chips are numbered 1 through 10. Otherwise, the chips are identical. From this box, we draw one chip at random, and record its value.
Based on these data, explain whether or not course attendance had any effect on determining of a restaurants violation of health code.
For any distribution the score that separates the highest 10% from the rest of scores is called.
Reject H0 at β β = .01; there is evidence of a difference between the mean voter turnouts for urban, suburban, and rural precincts.
Use MegaStat's output for multiple regression to determine the multiple regression equation
An economist found that a random sample of 42 high school teachers had an average annual salary of $56,490. A previous study showed that the population standard deviation is $4150. Find the 99% confidence interval for µ, the average annual salary ..
Location along 500-ft assembly line from which to observe the work habits of the workers on the line. What is the probability that the point she selects is?
In order that the sample proportion and the population proportion not differ by more than 0.05 with 95% level of confidence, what sample size should be used?
Muscular dystrophy is an incurable muscle-wasting disease. The most common and serious type, called DMD, is caused by a sex-linked recessive mutation. Specifically; women can be carriers but do not get the disease; a son of a carrier has probabili..
A railway company operates a number of different services. One of these connects two cities and the journey time is assumed to be normally distributed with a mean of 125 minutes and a standard deviation of 5 minutes.
Based on the information in (a), find a one-sided lower 90% confidence limit for m. Also, find a one-sided upper 90% confidence limit for m.
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