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it is found that the standard deviation of the diameters of rivets produced by a certain machine over a long period of time is 0.018 cm. The diameters of a random sample of 100 rivets produced by this machine in a day have a mean value of 0.476 cm. If the machine produces 2500 rivets a day, determine (a) the 90% confidence limits, and (b) the 97% confidence limits for an estimate of the mean diameter of all the rivets produced by the machine in a day.
It costs ABC $0.5 per pound to ship the box containing the weights. Because it's an odd-shaped package, though, shipping the bar costs $0.6 per pound plus a $10 surcharge. Find the mean and standard deviation of the company's total cost for shippi..
John conducted his study to measure self-esteem among victims of domestic violence before and after they complete an 8-week program for abuse victims with 10 individuals. He calculated t = 1.9 from his data.
A study of cardiovascular risk factors compared heavy smokers, light smokers, and nonsmokers. Both men and women were included in the study and gender differences were also to be investigated. One of the variables measured was the heart rate after..
Based on a P-value of 0.0248 the researchers concluded there was evidence that low birth weights may be a risk factor for susceptibility to depression. Explain in context what the reported P-value means.
Your task is to interview a representative sample of attendees for the large concert venue where you work. The new season includes 200 live concerts featuring all types of musicians and musical groups.
A package of seeds states that the probability of germination is 0.92. For a package containing 75 seeds, the mean and variance of the number of seeds germinating are:
Verify that this is valid density function. Find out probability that weight is smaller than 24 ounces.
Inspect table produced in question 2 above. Comment on relative sensitivity of minimum sample size to actual proportion and to desired half width.
How many dieters must be surveyed if we want to be 95% confident that the sample mean weight loss is within 0.25 pound of the true population mean? Assume that the population standard deviation is known to be 10.6 lb.
Compute the 95% confidence interval on the population mean if a sample of 1000 is taken and the sample mean is found to be 15.95 and standard deviation is 4.2.
Find the critical value and test statistic value follows normal distribution.
The law of large numbers tells us what happens in the long run. Like many games of chance, the numbers racket has outcomes so variable-one three digit number wins $600 and all others win nothing-that gamblers never reach "the long run".
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