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A flour manufacturer packs flour into paper bags, each of which is supposed to hold 10 pounds, or 160 ounces. Some customers have complained that the bags hold only 9.5 pounds, or 152 ounces. A test is conducted to determine whether the complaint is warranted. The weight of each bag is normally distributed with a Population Standard Deviation of 5 ounces. A sample of 16 bags yields a mean weight of 156 ounces. Shall we reject the null hypothesis of Mean Weight is exactly equal to 160 ounces with a level of significance of .05? Set up the Hypothesis test in "standard form" and then carry out the test.
From a previous study, the standard deviation of the ages is known to be 3 years.
A voltmeter is used to measure a known voltage of 100 V. Forty percent of the readings are within 0.5 V of the true value. Estimate the standard deviation for the meter.
Assume that 13 % of the population of the U.S. is left-handed. If a random sample of 180 people from the U.S. is chosen, approximate the probability that fewer than 26 are left-handed.
To estimate the average time it takes to assemble a certain computer component, the industrial engineer at an electronic firm timed 40 technicians in the performance of this task, getting a mean of 12.73 minutes and a standard deviation of 2.06 mi..
Let S be a random variable (not necessarily positive). Prove using Markov's inequality that for every p>0 and for every constant q,
Suppose that the population of heights of male college students is approximately normally distributed with mean m of 68 inches and standard deviation s of 3.75 inches. A random sample of 16 heights is obtained.
Suppose prior elections in Louisiana indicated it is necessary for a candidate for governor to receive at least 80 percent of the vote in the northern part of the state to be elected.
Pollsters attempt to find out whether or not person is a "likely voter" before they count their opinion in poll. If we suppose 40% of registered voters will really vote.
A researcher wants to estimate the average time (in minutes) spent in a car daily. This will be done by randomly surveying 300 individuals and calculating the sample mean.
Some IQ tests are standardized to normal model with mean of 100 and the standard deviation of 16. Draw a model for these IQ scores, clearly label it , showing what the 65-95-99.7 rule predicts about the score.
Calculate the population mean and population standard deviation.
A recent report from the American Medical Association claims that for the first time in ten years, the average salary of psychiatrists was greater than $190,000 with a standard deviation of $27,000. What is the null hypothesis for his claim?
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