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Two lots of logs are known to be infested by bark beetles. If 10 out of 45 logs examined were infested in Lot 1, and 12 out of 40 in Lot 2...
a) Find the 90% and 95% confidence intervals for the proportion of infested logs in Lot 2.
b) Are the levels of infestation significantly different in the two lots? (use a hypothesis test at α = 0.01)
c) Find the 99% confidence interval for the difference between proportions of infested logs in the two lots. Compare the results to Q 31 (b).
d) How large a sample size is needed to be 95% confident that the sample proportion in Lot 2 will be within 1% of the true fraction of infested logs?
If, in a sample of n=16 selected from a normal? population, x¯=56 and S=20?; the critical values of t if the level of? significance
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For each of the following three cases, explain (i) the hypotheses with a plausible definition of p1 and p2, (ii) whether or not the data indicate practical significance (use common sense and/or general knowledge), and (iii) whether or not the data..
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a batch of 50 different automatic typewriters contains exactly 10 defective machines. what is the probability of
The Rovers have a 0.55 probability of winning a game with the Sailors, and the Sailors have a 0.45 probability of winning a game with the Rovers. Find the probability that only six games are needed for Rovers to win the series. How many games shou..
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