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A statistician knows that the population of light bulb lifetimes is normally distributed and has a standard deviation of 30 hours. A simple random sample of 36 bulbs yields a mean lifetime of 504 hours. Construct and interpret a 99% confidence interval for the mean lifetime of all such bulbs.
A quality control engineer wants to check if a particular product meets the specification of 90% of the entire product shipped is in perfect condition. He randomly selects a sample of 10 items of the product from a large lot ready to be shipped.
With a sample of n=6 children, the researcher obtains a sample mean of X=18.3 kg. Show values for Z critical and Z calculated. Calculate all values for Z to two decimal places (x.xx)
Is it reasonable for the manufacturer to claim that the drill bits will last 2.5 hours?
What control limits should be applied to his sample?
At 0.05 level of significance, is there evidence that proportion of claims processed under this new system is higher than article reported for previous system?
24 of the students in the sample received an "A". Test the instructor's claim at a 5% level of significance. What is your conclusion?
Find out the finite population correction (FPC).With a population size of 1,000 and a planned sample size of 200, what is the finite population correction.
State the decision rule for .05 significance level. (Round your answer to 3 decimal places.)
Assuming the standard deviation stays the same, how much do you have to reduce your average production time so that 95% of the time you can deliver the product in under 75 hours?
The mean return for the random sample of 33 mutual funds is 14.93 percent with a standard deviation of 9.57. Test the null hypothesis: H0: mu = 15% at α = 0.05.
In fitting a least squares line to n=15 data points, the following quantities were computed: SSxx=55, SSyy=198, SSxy=-88, x-bar=1.3, and y-bar=35.
What is the point estimate of the population mean? Using the 95 percent level of confidence, determine the confidence interval for μ.
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