If n=25, ¯xx¯(x-bar)=47, and s=3, find the margin of error at a 80% confidence level Give your answer to two decimal places. ________________

The accompanying data are the number of wins and the earned run averages (mean number of earned runs allowed per nine innings pitched) for eight baseball pitchers in a recent season. Find the equation of the regression line. Then construct a scatter plot of the data and draw the regression line. Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. If the x-value is not meaningful to predict the value of y, explain why not. (a) x = 5 wins E Click the icon to view the table of numbers of wins and earned run average. (b) x = 10 wins (c) x = 21 wins (d) x = 15 wins - X Wins and ERA The equation of the regression line is y = x + (Round to two decimal places as needed.) Earned run Wins, x average, y 20 2.63 18 3.36 17 2.63 16 3.76 14 3.89 12 4.27 11 3.83 9 5.16

The time it takes an employee to package the components of a certain product is normally distributed with ? = 7.5 and ? = 1.5 minutes. As an incentive, management has decided to give a bonus to the 25% of employees who took the shortest amount of time to package the components. Find the amount of time taken to package the components that will indicate that an employee should get a bonus. (Round your answer to two decimal places.) An employee must package components in a time     minutes.

For some data, we know the range R of the data is 12 and its median is 6. Find Estimated Lowest Number, and Estimated Highest Number for this data. Give you answers in the same order asked.