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The quality control manager at a light bulb factory needs to estimate the mean life of a large shipment of light bulbs. The standard deviation is 100 hours. A random sample of 64 light bulbs indicated a sample mean life of 350 hours
a. Construct a 95% confidence interval estimate for the population mean life of light bulbs in this shipment.
b. Do you think that the manufacturer has the right to state that the light bulbs have a mean life of 400 hours? Explain.
c. Must you assume that the population light bulb life is normally distributed? Explain.
d. Suppose that the standard deviation changes to 80 hours. What are your answers in (a) and (b)?
If the maximum error of estimate for the proportion of bartenders hearing job complaints is 4.4 percentage points, what is the degree of confidence used?
Jim and Mike go to a coffee shop during their lunch break and toss a coin to see who will pay. The probability that Mike will pay three days in a row is 0.125.
Mean of 61 minutes and a standard deviation of 9 minutes. Find the proportion of runners who take more than 70 minutes to finish. Draw a sketch to show this proportion.
Discuss an example where you would use a test of hypothesis for in your professional life, personal life, education or politics. Provide sufficient details so that the context is clear and also discuss if the example involves:
Cores on two tests have a bivariate normal distribution; and that correlation of 2 scores is 0.8. Determine the probability that sum of the student's scores on 2 tests will be greater than 200?
Compute a 95% confidence interval for the population mean, based on the sample 1, 2, 3, 4, 5, 6, and 30. Change the number from 30 to 10 and recalculate the confidence interval.
at a local fast-food joint cars arrive randomly at a rate of 12 every 30 minutes. it takes an average of 2 minutes to
whenever the population standard deviation is unknown and the population has a normal or near-normal distribution which
let 30 percent of the people in new york favor ice cream. if 500 people are surveyed at random what is the probability
In large accounting firm, the proportion of accountants with MBA degrees and at least five years of professional experience is 0.75 times the proportion of accountants with no MBA degree and less than 5 years of professional experience.
suppose you know there are four letters in a certain password. Also you know three of the four letters but are not certain of the correct order. What is the number of possible passwords you must consider?
A sociologist wanted to determine whether there was a difference in the amount of time children aged 5-7 spent watching tv. what is the null hypothesis? Find the expected value.
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