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As part of the recruitment of new businesses in their city, the economic development department of the city wants to estimate the gross profit margin of small businesses (under one million dollars in sales) currently residing in their city. A random sample of the previous years annual reports of 15 small businesses shows the mean net profit margins to be 7.2% (of sales) with a standard deviation of 12.5%.
a. Construct a 99% confidence interval for the mean gross profit margin of m of all small businesses in the city.
b. The city manager reads the report and states that the confidence interval for m constructed in part (a) is not valid because the data are obviously not normally distributed and thus the sample size is too small. Based on just knowing the mean and standard deviation of the sample of 15 businesses, do you think the city manager is valid in his conclusion about the data? Explain your answer.
Find a 95% confidence interval for the true proportion of voters who approve of the way the government is being run.
In Exercise 8.44 (page 517) we compared the proportion of pet owners who were women with the proportion of non-pet owners who were women in the Health ABC Study. Use a signi?cance test to make the comparison and summarize the results of your analy..
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what is the sample space of all possible outcomes? Are the outcomes equally likely?
Consider the experiment of rolling a pair of dice. Suppose that we are interested in the sum of the face values showing on the dice.
A range of values constructed from sample data so that the parameter occurs within that range at a specified probability is:
water vapor initially at 3.0 mpa and 300oc state 1 is contained within a piston-cylinder assembly. the water is cooled
A survey last week revealed that out of 400 viewers contacted, 94 watched the news on WBEN. Can we conclude that the percent of viewers has increased? Use the 0.05 significance level.
a bag of 31 tulip bulbs contains 12 red tulip bulbs 12 yellow tulip bulbs and 7 purple tulip bulbs.a what is the
one study on slavery estimated that a slave had only 2 chance of being sold into the interstate trade each year. this
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