For these problems, please use Excel to show your work, and submit the Excel spreadsheet along with your completed assignment. Find the point estimate of the population mean and the margin of error for a 90% confidence interval for the following drive times (in minutes) for commuters to a college. 35 40 47 22 17 19 36 44 65 55 22 23 16 46 44 38 29 22 37 16 8 15 27 41 45 17 11 45 63 17 28 19 64 55 53 50 Answer: X = S = 1231 = 34.1 Sample Mean n 36 Use the results from the above data (#1) and determine the minimum survey size that is necessary to be 95% confident that the sample mean drive time is within 10 minutes of the actual mean commuting time. In a random sample of 35 tractors, the annual cost of maintenance was $4,425 and the standard deviation was $775. Construct a 90% confidence interval for this. Assume the annual maintenance costs are normally distributed. Answer: 90% = mean ± 1.645 SEm SEm = SD/√n I used the table in the back of my statistics text labeled "areas under normal distribution" to find the proportion/probability (±5%) to get Z = 1.645. I assume that you have a similar table available. The following data represents the number of points scored by players on a high school basketball team this season. Player 1 68 Player 6 128 Player 2 82 Player 7 66 Player 3 145 Player 8 54 Player 4 111 Player 9 221 Player 5 97 Player 10 99 Find the sample mean and the sample standard deviation. Answer: Sample Mean 1071 = 107.1 Sample Standard Deviation S = 3.16 10 Construct a 90% confidence interval for the population mean and interpret the results. Assume the population of the data set is normally distributed. For the following statements, state the null and alternative hypotheses and identify which represents the claim. Determine when a type I or type II error occurs for a hypothesis test of the claim. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed, and explain your reasoning. Explain how you should interpret a decision that rejects the null hypothesis. Explain how you would interpret a decision that fails to reject the null hypothesis. It is reported that the number of residents in Wisconsin who support plans to recall the governor is 48%. An Amish bakery store states that the average shelf life of their fresh baked goods is seven days. A soda manufacturer states that the average number of calories in the regular soda is less than 150 calories per serving. The census figures show that the average income for a family in a rural region is approximately $34,860 per year. A random sample has a mean income of $33,566 per year, with a standard deviation of $1,245. At a sig. level of .0.01 is there enough evidence to reject the claim? Explain. An advertising firm claims that the average expenditure for advertising for their customers is at least $12,500.