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Ball bearings are manufactured with a diameter of 5 mm. But the process has variation, so the diameter is normally distributed with a mean of 5 mm and a standard deviation of .02 mm.
A) What proportion of ball bearings are more than 5.03 mm?
B) Any ball bearing less than 4.95 mm and greater than 5.05 mm will be discarded. What proportion will be discarded?
C) If the company makes 30000 ball bearings a day, how many should they expect to discard?
D) If an order for 50000 bearings comes in, who many should the company make if all ball bearings should be between 4.97 mm and 5.03 mm?
Company are interested in how a new spaghetti sauce made from green tomatoes (and green in color) will compare to their traditional red spaghetti sauce. They are worried that the green color will adversely affect the tastiness scores.
Some of the factors affect statistical power for a one sample t test. How does statistical power change (increase or decrease) for each of the following changes?
In which of the following situations is bootstrapping (and other resampling methods) often used and Which of the following is a valid description of the bootstrapping method.
The weekly salaries of teachers in one state are normally distributed with mean of $490 and standard deviation of $45. Determine the probability that a randomly selected teacher earns more than $525 per week?
A population of scores has m=50 and o=10. If 5 points are added to every score in the population, then the new mean and standard deviation would be:
Is this an ideal data collection method? Can the results be considered reliable? Can the gathered data be representative of the population?
What assumption about the population distribution is needed in order to conduct the t test in (a)?
A large bakery buys flour in 25-pound bags. The bakery uses an average of 4,860 bags a year. Preparing an order and receiving a shipment of flour involves a cost of $10 per order. Annual carrying costs are $75 per bag.
What do you find out when you perform the nonparametric statistics?
What is the standard error of the difference between the means?
Two tools that are often used in this process are the contingency table and the decision tree. What are these tools and how to they help us to make decisions under uncertainty when we are dealing with probabilities?
There are 6 children in a family. The number of children defines a population. The number of simple random samples of size 2 that are possible equals:
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