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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)
The firm examined 35 randomly chosen fax transmissions during the next year, yielding a sample mean of 14.44 with a standard deviation of 4.45 pages. (a) At the .01 level of significance, is the true mean greater than 10? (b) Use Excel to find the..
There are three flight phases. At α = 0.05, is the cockpit noise level independent of flight phase?
At the .01 level of significance, is the mean grade of the female students higher than that of the males?
State the alternative hypothesis that would be used to determine if Brand A has a higher proportion of defective smoke detectors than Brand B. Calculate the test statistic for determining if a difference exists between the failure rates of the two..
Suppose a wildlife service wishes to estimate, with 99% confidence, the mean number of days of hunting per hunter for all licensed hunters in the state during a given season, with a bound on the error of estimation equal to 2 hunting days.
Using your own experience, estimate the probability the local weather forecast is correct. Explain the rationale behind your estimate.
A IRS auditor randomly selects 3 tax returns from 57 returns of which 6 contains errors. What is the probability that she selects none of those containing errors?
Your objective is to maximize the expected utility of your final fortune (after 4 bets). If you are a log-utility investor, determine the optimal policy and find the maximal expected utility.
Determine standard normal area for each of the following: Standard normal area P(1.22
Choose one time-series describing Airlines and make a line chart. Describe the trend (if any) and discuss possible causes. Fit both a linear and an exponential trend to the data.
Researchers at the Brigham & Women's Hospital recruited 2,000 participants to study the relation between diet and cholesterol.
How much of the variation in the dependent variable would be explained by the independent variable in this situation? Use job satisfaction and employee turnover as the variables for this problem.
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