10:37 ..1 Done 29 of 33 runation to executive VPIT As we raise our glass , we / to Social Edit Edit with colors Paint 3D Colors 6 The number of entrees purchased in a single order at a Noodles & Company restaurant has had a historical average of 21 entrees per order. On a particular Saturday afternoon, a random sample of 28 Noodles orders had a mean number of entrees equal to 2.4 with a standard deviation equal to 0.98. At the 1 percent level of significance, does this sample show that the average number of entrees per order was greater than expected? points (a) Choose the correct null and alternative hypotheses. a. He uz 21 vs. H u 21 C. He = 21 vs. Hi: W# 21 bo Oc (b-1) Calculate the t statistic. (Round your answer to 2 decimal places.) calc 162 0 7 ANDVA Source of Variation SS of MS F p-value Factor A 36, 598.56 12, 199.52 Factor B 22,710.29 11,355.15 Interaction 177,015.38 29, 502.56 points Error 107.561.25 36 2,987.81 Total 343.885.48 47 eBook (a) What kind of ANOVA Is this? One-factor ANOVA References Two-factor ANOVA with replication Two-factor ANOVA without replication (b) Calculate each Ftest statistic and the p-value for each Ftest using Excel's function =F.DIST.RT(F.DF1.DF2). (Round your Fcalc values to 3 decimal places and p-values to 4 decimal places.) Source of Variation Fcale p-value Factor A 4.95 13.15 Factor B Interaction -0 - DELL10:37 ..1 Done 29 of 33 = | Untitled - Paint Home View X Cut 1 Crop A WOODBADoutline Copy Resize Select Brushes Rotate Size Color Color 1 board Image Tools Shapes A cognitive retraining clinic assists outpatient victims of head Injury, anoxia, or other conditions that result In cognitive Impairment. Each Incoming patient is evaluated to establish an appropriate treatment program and estimated length of stay. To see If the evaluation teams are consistent, 12 randomly chosen patients are separately evaluated by two expert teams (A and B) as shown. Estimated Length of Stay In Weeks Patient Team 6 42 7 32 20 17 31 45 47 25 10 17 LE 46 35 21 20 Click here for the Excel Data File (a) Choose the appropriate hypotheses. Assume Jy Is the difference In mean lengths of team A and team B. Ho Ud 2 0 vs. Hh Ha 0 (b) Specify the decision rule at the .10 level of significance. (Round your answers to 3 decimal places. A negative values should be Indicated by a minus sign.) Reject the null hypothesis if the p-value Is less than @ 10 or If tcalc 22010 5 A special bumper was Installed on selected vehicles In a large fleet The dollar cost of body repairs was recorded for all vehicles that were Involved in accidents over a 1-year period. Those with the special bumper are the test group and the other vehicles are the control group, shown below. Each "repair Incident" is defined as an Invoice (which might Include more than one separate type of damage). point Statistic Test Group Control Group Mean Damage X1 = $ 1, 078 A2 = $ 1,786 Sample Std. Dev. $1 = $ 652 52 = $ 819 Repair Incidents ing 15 12 = 12 Source: Unpublished study by Thomas W. Lauer and Floyd G. Willoughby. (a) Construct a 95 percent confidence Interval for the true difference of the means assuming equal variances. (Round your final answers to 3 decimal places. Negative values should be Indicated by a minus sign.) The 95% confidence Interval is from -1290.449 @ to |-125.5510 (b) Repeat part (a), using the assumption of unequal variances with Welch's formula for dif (Round the calculation for Welch's df to the nearest Integer. Round your final answers to 3 decimal places. Negative values should be Indicated by a minus sign.) The 95% confidence Interval Is from -1313.422 @ to -102 578 0 475, 518px 1 1914 x 901px 9 W Type here to search O X