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Question: A consumer advocacy group suspects that a local supermarket's 10-ounce packages of cheddar cheese actually weigh less than 10 ounces. The group took a random sample of 20 such packages and found that the mean weight for the sample was 9.955 ounces. The population follows a normal distribution with the population standard deviation of .15 ounce.
a. Find the p-value for the test of hypothesis with the alternative hypothesis that the mean weight of all such packages is less than 10 ounces. Will you reject the null hypothesis at α = .01
b. Test the hypothesis of part a using the critical-value approach and α = .01
A bag has 5 green marbles and 10 brown marbles. Half of the brown marbles are made of plastic. A marble is selected at random from the bag. What is the probability that it is a brown, plastic marble
Remark. A concrete example runs as follows: Take 3 sticks of length 1, break each of them uniformly at random, and pick one of the pieces from each stick. Find the probability that the 3 chosen pieces can be constructed into a triangle.
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Calculate the appropriate test statistic to test the hypotheses related to the concern and test at 5% and 1%.
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A new computer chip has one million microdots etched on its surface. In the manufacturing process, 997, 850 dots are imprinted with information.
What's the probability that a job applicant rejected under suspicion of dishonesty was actually trustworthy?
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