Some Problems for W5The following problems are to be written up in polished form showing all relevant work1. A researcher is interested in estimating the proportion of voters who favor a tax on e-commerce. In a sample of 250 people she finds that 36 favor such a tax. a. Find a 95% confidence interval for the true population proportion of voters who favor such a tax. b. Find a 99% confidence interval for the true population proportion of voters who favor such a tax. 2.
Some Problems for W5The following problems are to be written up in polished form showing all relevant work1. A researcher is interested in estimating the proportion of voters who favor a tax on e-commerce. In a sample of 250 people she finds that 36 favor such a tax. a. Find a 95% confidence interval for the true population proportion of voters who favor such a tax. b. Find a 99% confidence interval for the true population proportion of voters who favor such a tax. 2. As part of an advertising campaign the Dairy Council is interested in determining the daily intake of milk among adults. A random sample of 10 adults gave the following results. (Values are given in ounces.)23.0 30.6 20.3 10.1 11.5
21.8 22.2 26.9 21.0 30.1a. Find x-bar and s for this data set. b. Construct a 99 percent confidence interval for the mean daily intake of milk. You may assume the daily intake amounts are normally distributed. (Note: These results could then be used in later studies to see if the ad campaign is succeeding in increasing the amount of milk adults drink.) 3. A sociologist develops a test to measure attitudes about public transportation and 27 randomly selected subjects are given the test. Their mean score is 76.2 and their standard deviation is 21.4. Construct the 90% confidence interval for the mean score of all such subjects. You may assume the scores are normally distributed. 4. To estimate the true mean weight of packages received by a parcel service 39 packages are randomly selected and weighed. The sample has a mean weight of 15.3 pounds and a standard deviation of 1.9 pounds. Create a 95% confidence interval estimate for the true mean weight of all packages received by the parcel service. 5. A 99% confidence interval (in inches) for the mean height of a population is 65.44
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