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Explain the difference between the null hypothesis and the alternate hypothesis. How is the null hypothesis chosen (why is it null)? What is the importance of rejecting the null hypothesis in relation of the sample to the population? With a failure to reject the null hypothesis, can we make a general statement about the population based on the sample findings? Develop an idea you wish to test. Provide a 'verbal' statement which is a short description of your idea. Then write the null and alternate hypotheses. Do not use examples from the text.
Rob Johnson is a product manager at Diamond Chemicals, which is considering whether to launch a new product line that will require it to build a new facility.
Find the sample size for the 95% confidence interval used to estimate the population proportion.
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Suppose that patrons of a restaurant were asked whether they preferred beer or whether they preferred wine. 70% said that they preferred beer. 60% of the patrons were male. 80% of the males preferred beer.
In February 2002, the Argentine peso lost 70% of its value compared to the United States dollar. This devaluation drastically raised the price of imported products.
Let S be a random variable (not necessarily positive). Prove using Markov's inequality that for every p>0 and for every constant q,
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Where should the warranty limits be set so that only 10% of the TVs need repairs at the manufacturer's expense?
Construct a 95% confidence interval estimate for the population proportion of airline travelers who think that the airline fee that is most unreasonable is additional charges to redeem point/miles.
Interpret values of b1, b2, b3 and b4 in this estimated regression equation.
Based on testing, company makes following statement: "Our batteries last the average of 430 to 470 minutes, and our confidence in that interval is 95%" Find out standard deviation and show work.
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