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Two boxes of men's Old Navy shirts were received from the factory. Box 1 contained 25 mesh polo shirts and 15 Super-T shirts. Box 2 contained 30 mesh polo shirts and 10 Super T-shirts. One of the boxes was selected at random, and a shirt was chosen at random from that box to be inspected. The shirt was a mesh polo shirt. Given this information, what is ths probability that the mesh polo shirt came from box 1?
Suppose that in a population of 10 items, 3 are defective and 7 are not. Suppose that two items are chosen at random for inspection. Let X be the number of defective items inspected. report all probabilities to a minimum of 5 decimal places of acc..
Do these results suggest that the racial makeup of the faculty members is different from that of the students? (Use the .05 significance level.) Use the five steps of hypothesis testing and explain your findings.
Now make a scatter plot of data from 1982 to 1998 (again, use years since 1800). Determine a linear, power, or exponential model that explains the crude oil production during this time period.
Find out the following probabilities. Probability that exactly 27 items will be good.
Assume that the smiling time of eight-week old babies, in seconds, follows a uniform distribution between 0 and 23 seconds, inclusive. This means that any smiling time from 0 to and including 23 seconds is equally likely.
Two groups of students are asked to rank their preference for six types of soft drinks. The following table shows their rankings.
We have a deck of 52 playing cards. What is the probability of drawing?
Using one mean Z test to test whether or not to support the claim - Is there evidence that the average hours is below 6? Describe.
Test the hypothesis that the annual incomes of Teachers in areas of more than 500,000 are significantly more than those in areas of less than 100,000. Use the 5% level of risk.
The mean amount of time a (unnamed) computer server is down is 18.3 minutes with a standard deviation of 5.7 minutes.
What maximum variance of the raw score population could you have and still be able to reject the null hypothesis of μ = 20 (α = .05), if the sample size is 100 and the sample mean is 22?
A deck of cards is shuffled and then divided into two piles of 26 cards each. We say that a suit is unsplit if all 13 cards of that suit are in the same pile. Compute the probability that at least one suit will be unsplit.
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