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An economist wishes to estimate the average family income in a certain population. The population standard deviation is known to be $4,500, and the economist uses a random sample of size = 225. What is the probability that the sample mean will fall within $800 of the population mean?
a) Set up the null and alternative hypotheses, and perform the hypothesis test. b) Based on these results, does the diet appear to be effective? Does the diet appear to have practical significance?
Identify the variable being measured and describe the sample as it relates to the population.
The superintendent of a printing plant has selected a random sample of 100 rolls of paper from a large shipment. The average length of the sample rolls is 416 feet, with a variance of 2704 feet.
Use the sample results with a 0.05 significance level to test the claim that pulse rates of men have a standard deviation greater than 10 beats per minute.
There is a statistical deception here. Explain what is deceptive about the bar graph.
Jamie expects that a bulb will last for 400 to 500 days, what is the probability of an Acme bulb satisfying that?
Two independent samples of sizes n1 = 50 and n2 = 50 are randomly selected from two populations to test the difference between the population means. The sampling distribution of the sample mean difference, is:
Assume the population standard deviations are not the same. At the .05 significance level, is there a difference in the mean waiting time?
Suppose you, as manager of Tennessee Grilled Pork, will submit proposals for a small business loan and a city business grant to help fund the building of the new location you submitted to the management teams.
A box contains four tickets, one marked with a star and the other three blank. One draw is made from this box at random.
A discussion of extreme weather reports that: "In most states, hurricanes occur infrequently. Yet, when a hurricane hits, the losses can be catastrophic.
There are 6 different factors labeled as A, B, C, D, E, and F. Given that D=AB, E=-AC, F=-BC, please provide the corresponding 26-3 design table. Also, please write down the complete defining relation and the complete effect alias structure.
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