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At a food processing plant, a machine produces 10 lb bags of sugar. In this particular process, it is important that the sugar content does not go below 9.9 lbs. In fact, when the bags of sugar are less than 9.9 lbs, maintenance is performed on the machine. Consider a hypothesis test where:
Ho: X > 9.9 lbs. (In this case operation is continued)Ha: X < 9.9 lbs. (In this case maintenance is performed on the machine)
Assume the population standard deviation (s) is 0.5 and the sample size (n) is 100. Calculate the values for alpha, a type I error and beta, a type II error. (To calculate Beta, consider a mean that is 1 standard error away from the lower end value to perform maintenance).
Find the critical values and identify the rejection regions. Calculate d and sd. Use the t-test to find the standardized test statistic t. decide whether to reject or fail to reject the null hypothesis.
Service A delivers the document with probability 0.9, Service B with probability 0.9 and Service C with probability 0.8. What is the probability that at least one copy of the document will be delivered on time?
What is the probability that a particular driver had exactly two speeding violations?
Find out the probability distribution of your net winnings if you play one time. Calculate the mean and the standard deviation.
In a certain city, there are 100,000 persons age 18 to 24. A simple random sample of 500 such persons is drawn, of whom 198 turn out to be currently enrolled in college.
Calculate the population mean and population standard deviation.
Recognize the given samples are independent samples or matched pairs.
The severity of side effects experienced by patients while being treated with a particular medicine is under study. The severity is measured on the scale: none, mild, moderate, severe, very severe.
What is the percent difference between the two amounts relative to the amount for mathematics majors (round to the nearest percent)?
Find the power of the test designed to determine if the the new safety equipment is effective when the mean percent reduction is actually 2.3%. Assume that the population standard deviation is 12% and that α is 0.02. What is the power?
What the information do z-scores give that actual heights do no?
If we wanted to shorten the interval of the estimation of the true mean of Saturday sales to a width of $600 in total, what should the size of our sample be to achieve it?
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