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The mean weight of 100 men from the Honolulu Heart Study is 64 kg with a standard deviation (s) of 8.61 kg. Calculate the 99% confidence interval of the µ.
The mean diastolic blood pressure of 100 individuals is 73 mmHg with a standard deviation (s) of 11.6 mmHg. Calculate the 99% confidence interval for the µ.
Let A be the event that all of the bolts are torqued correctly, let B be the event that the #3 bolt is not torqued correctly, let C be the event that exactly one bolt is not torqued correctly, and
Find the following for both the dial and the digital indicator (1) the UCL for X, (2) the LCL for X, and (3) the UCL for R. Interpret your results.
Calculate and interpret the Cp and Cpk values for the following information.
As the cable is made, a sample is taken every half-hour. Use n = 3 and the following information to create a moving average and a moving range chart. Work to whole numbers. What are the upper &
A die with six faces has the number 1 painted on three of its faces, the number 2 painted on two of its faces, and number 3 on one face. Assume each face is equally likely to come up.
To see if brain stimulant affects test scores, we randomly assign subjects to three groups of five individuals each. One group receives a high dose of the stimulant, another gets a low dose, the thi
Give the likelihood function based on the above data. Calculate the maximum likelihood estimator of λ.
A random sample of 25 items had a mean wholesale price of 165.2 and a standard deviation of s = 29.5. What is s of the retail price of those items? Give answers to 2 decimal places.
The average sodium content per packet of a certain brand of soup in a cup is 780 milligrams and the standard deviation is 45 milligrams. Assume that the sodium content in this variety of soup in a c
In a random telephone survey to estimate the proportion of households with a personal computer, 720 out of 960 households responded that they did have a personal computer at home.
Suppose the probability of making a type 1 error is chosen to be zero. Without performing all the steps of test of hypothesis, would you accept or reject the null hypothesis that the current mean an
Is there sufficient evidence to refute the claim at 2% level of significance? What is the p-value? What is the smallest value for? for which the claim will be rejected?
A random sample of 50 measurements resulted in a sample mean of 62 with sample standard deviation 8. It is claimed that the true population mean is at least 64. Is there sufficient evidence to refut
A web site rated 100 colleges and ranked the colleges from 1 to 100, with a rank of 1 being the best. Each college was ranked, and there were no ties. If the ranks were displayed in a histogram, wh
If a population has a standard deviation ? of 25 units, what is the standard error of the mean if samples of size 100 are selected?
Describe the four possible outcomes that can result depending on the truth of the null hypothesis and the decision reached?
Develop and solve a linear optimization model to determine the optimal mix to maximize profit, and write a short memo to the president, Kathy Chung, explaining the sensitivity information in languag
In order to be accepted into a certain top university, applicants must score within the top 5% on the SAT exam. Given that the exam has a mean of 1000 and a standrad deviation of 200, what is the lo
Find the z-score for the standard normal distribution where:
The manufacturer of a new antidepressant claims that, among all people with depression who use the drug, the proportion (p) of people who find relief from depression is at least 80%.