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Question: Pottery. An artist experimenting with clay to create pottery with a special texture has been experiencing difficulty with these special pieces. About 40% break in the kiln during firing. Hoping to solve this problem, she buys some more expensive clay from another supplier. She plans to make and fire 10 pieces and will decide to use the new clay if at most one of them breaks.
a) Suppose the new, expensive clay really is no better than her usual clay. What's the probability that this test convinces her to use it anyway?
b) If she decides to switch to the new clay and it is no better, what kind of error did she commit?
c) If the new clay really can reduce breakage to only 20%, what's the probability that her test will not detect the improvement?
d) How can she improve the power of her test? Offer at least two suggestions.
Use the "Regression" function in Excel and the data presented above to estimate the linear relation between the number of visits and the age of the patients. Examine the results of the analysis by
Determine whether the following are demonstrative definitions, enumerative definitions, synonymous definitions or operational definitions.- "Rapier" means sword.
Now analyze the data in the proper way. Compute the sample mean and variance of the differences. Then compute the t statistic, degrees of freedom, and P-value.
List the outcomes in the sample space.- What are the possible values for X? Is X discrete or continuous? Justify your answer.
In the other group 40 out of 80 favored capital punishment. Calculate an appropriate test value to test the hypothesis that the population proportions are the same.
A random sample of 80 voters found that 44% were going to vote for a certain candidate. Find the 90% limit for the population proportion of voters who will vote for that candidate?
He observes how many people play on each court on a particular day. Compute the expected value for the data shown below.
What is the probability you will win any money in the state lottery and the probability that you will win at least $100
A random sample of 49 employees took a computer literacy test. The sample resulted in a mean score of 75 with a standard deviation of 21. Develop an approximate 95% confidence interval for the population mean of the 600 employees.
Using the chi-square table in Appendix A, what is the most accurate statement that can be made about the exact p-value for the test?
Consider tossing a pair of fair dice two times. For each of the following pairs of events, tell whether they are disjoint, independent, or neither.
What reasons will you convey to your client to justify your decision in recommending this stock? How will this recommendation impact the client?
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