5&6

[-75 POMts] Classes DETAILS C Cengage.. TMISSTATZT AP Stats,.. #4 2022.. #5 2022. #6 2022_. #1 2022.. #3 2022.. IVIT NOTES ASK TOUR TEACHER PRACTICE ANOTHER Here are measurements (in millimeters) of a critical dimension for 16 auto engine crankshafts. 224.589 224.029 223.217 224.918 223.532 224.029 224.176 223.889 224.057 223.966 224.064 223.525 224.05 224.876 223.882 224.211 The dimension is supposed to be 224.15 mm and the variability of the manufacturing process is unknown. Is there evidence that the mean dimension is not 224.15 mm? Give appropriate statistical evidence to support your conclusion. (Use a = .05.) P-value = Conclusion There is significant evidence that the mean dimension differs from 224.15 mm. There is no evidence that the mean dimension differs from 224.15 mm. 6. [-/5 Points] DETAILS YMSSTAT2 12.E.008. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER In a recent year, 73% of first-year college students responding to a national survey identified "being very well-off financially" as an important personal goal. A state university finds that 129 of an SRS of 200 of its first-year students say this goal is important. (a) Give a 90% confidence interval for the proportion of all first-year students at the university who would identify being well-off as an important personal goal. Follow the Inference Toolbox. lower bound upper bound (b) Is there good evidence that the proportion of all first-year students at this university who think being very well-off is important differs from the national value, 73%? (Use a = .05.) Z = P-value = Conclusion OThere is significant evidence that the proportion of all first-year students at this university who think being very well-off is important differs from the national value, 73%, There is no significant evidence that the proportion of all first-year students at this university who think being very well-off is important differs from the national value, 73%