Question 41 ANOVA Regression Residual Total df SS MS F 3 29 625800.41 32 4982463.33 Standard Coefficients Error t Stat P-value Intercept -1596.40 280.82 Attendance (x1) 163.52 57.88 Playing weeks (x2) -0.18 0.53 New Productions (X3) 21.76 6.71 For testing the hypothesis Ho: B2 = 0 vs HA: 20, the critical t* value, using a = 0.01, to decide if the null hypothesis should be rejected, is: 2.462 -2.756 -2.462 0 2.756 Question 42 A restaurant owner is considering opening an ethnic cuisine restaurant and wonders how much people in the target community spend on eating out relative to their annual household incomes. She commissions a telephone survey and builds a regression model for individual respondents, where household income is in $1000's. Based on this model she obtains a Confidence Interval for mean amount spent for eating out per week, with 99% confidence, for families with $120,000 annual income: ($120 to $145). Select the proper interpretation for this confidence Interval. It can be stated with 99% confidence that the sample mean of the amount spent eating out each week by households with an income of $120,000 is between $120 and $145. It can be stated with 99% confidence that the average amount spent each week by households in the survey with an income of $120,000 is between $120 and $145. 99% of all households with an annual income of $1200,000 will spend between $120 and $145. It can be stated with 99% confidence that the mean amount spent weekly by individuals whose household incomes are $120,000 is between $120 and $145. Question 43 A new operating system is installed in every workstation at a large company. The claim of the operating system manufacturer is that the time to shut down and turn on the machine will be much faster. To test it an employee selects 31 machines and tests the combined shut down and restart time of each machine before and after the new operating system has been installed. The mean of the differences (before - after) is 15.5 seconds with a standard deviation of 11 seconds. The Margin of Error ME for the 80% Confidence Interval for the mean difference is: 2.59 0 2.58 2.54 0 2.57 Question 44 Following is the partial Excel ANOVA output for a simple linear regression (one predictor) using 10 (x, y) data points ANOVA Regression Residual Total The computed F-value Fcalc is: 0 4.55 5.15 0 5.82 6.56 df SS MS F 187.0 340.4 Question 45 Summary information about the data and the regression is given below. Observation no. Number of salespeople Sales (in $1,000s) (y) working (x) 2 9 10 Mean Standard Deviation 10 5.64 17.5 5.41 There are 10 observations in our hidden data. Some rows are hidden. Regression Line bo 8.47 b 0.90 Se 2.05 SE(bi) 0.11 Find Margin of Error ME for a 90% Prediction interval for estimating sales (in $1,000s) when 10 salespeople are working. 2.54 3.998 0 3.27 0 3.66 0 3.94