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Motorola used the normal distribution to determine the probability of defects and the number of defects expected in a production process. Assume a production process produces items with a mean weight of 6 ounces.
The process standard deviation is 0.1, and the process control is set at plus or minus 2 standard deviations. Units with weights less than 5.8 or greater than 6.2 ounces will be classified as defects. What is the probability of a defect (to 4 decimals)?
As long as there is either an upward or downward trend in the data, will a k-period moving average have a smaller mean square error than a moving average obtained with k+1 periods? Why or why not?
Dr. Bundy recently earned permission from the warden of a local prison to use prisoners to study the effects of the drug Zoloft on depression.
The height of women at a school are basically distributed with mean 66.4 in. and standard deviation 3.7 in. Determine the range of heights centered about the mean in which:
A car rental company has determined that the probability a car will need service work in any given month is 0.2. The company has 900 cars.
From past experience, an automobile insurance company knows that a given automobile will suffer a total loss with probability .02, a 50% loss with probability .08, or a 25% loss with probability .15 during a year.
From past information, it is known that the standard deviation of the population is 22 mph. The 96.6% confidence interval for m is?
Complete the test at the 5% level of significance.
Do the association between the sizes of the heads and bodies of the two species appear to be strong? Explain.
Share 1 real-world binomial distribution situation and 1 real-world Poisson distribution situation. Be sure to explain why each example is defined as binomial or Poisson.
Give an example of a null and alternative hypotheses. This can be a personal item or something at work. Additionally, identify the Type I and Type II Errors that could occur with your decision-making process.
Assume the likelihood that any flight on Northwest Airlines arrives within 15 minutes of the scheduled time is .90. We select four flights from yesterday for study.
Assume a sample size of n=20. Draw a picture of the distribution of the t statistics under the null hypothesis. Use the t distribution critical values (upper-tail p) table.
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