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1. A company is producing cylindrical blocks for a children's toy. The average diameter of a block is 3.5 inches. Sixteen blocks are inspected and the diameters are measured. The standard deviation is estimated to be 0.02 inches. What are the 99.7% upper and lower control limits for the x-bar chart?
2. Demand for a particular type of battery fluctuates from one week to the next. A study of the last 6 weeks provides the following demands (in dozens): 4, 5, 3, 2, 8, 10 (last week). (a) Forecast demand for the next week using a 2-week moving average. (b) Forecast demand for the next week using a 3-week moving average.
3. In a four-factor analysis used in a multifactor evaluation process, it is desired to have the F1 importance weight four times as much as the F2 importance weight. The F2 importance weight should be four times as much as the F3 importance weight. The F3 importance weight should be four times as much as the F4 importance weight. Determine the appropriate importance weights of F1 , F2 , F3 , F4 to be used in the multifactor evaluation process. (Hint: Consider numerator factors of 4.)
A salesperson makes four calls per day. A sample of 100 days gives the following frequencies of sales volumes.
A certain airplane has two independent alternators to provide electrical power. The probability that a given alternator will fail on a 1-hour flight is .02. What is the probability that:
The manager of a local gymnasium has determined that the length of time patron spend at the gymnasium is normal distributed with mean 80minutes and standard deviation 20 minutes. What is the patrons who spend more than 120 minutes at the gymnasium..
Drawing the standard normal curve and indicating the area representing the probability and
Find the sample mean and sample standard deviation for the amount of unspent money returned at the end of the day.
A radio station wants to know if residents in their area are in favor of a proposed tax increase. They invite listeners to call in to respond to the poll. 645 of the 800 who responded were against the tax.
To find out whether the course is effective in increasing sales, the appropriate set of hypothesis for testing is:
At the .05 significance level, can we conclude that the guideline is still reasonable?
Probability values based on normal distribution - old exit exam followed a normal distribution
College students are a major target for advertisements for credit cards. At a university, 65% of students surveyed said they had opened a new credit card account within the past year.
Compute the probability of seven consecutive points falling above the centerline given a stable process. Is this probability associated with type I or type II error?
Draw a tree diagram to show all possible outcomes of the experiment. Label the probability associated with each stage of the experiment on the appropriate branch.
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