Question

Euestion Help Chest Compression (mm) 31 33 32 36 33 23 28 28 30 32 27 31 37 29 33 36 A customer wants to know whether the mean chest compression resting from an institute crash test is the same for family cars, passenger Vehicle Type vans, and trucks. The data to the right were collected from the sto's study Family Cars Passenger Vans Trucks a. Conduct a one-way ANOVA bot on the data b. Interpret your results from (a) at the significance level c. Decide whether prosuming that the assumptions of normal populations and equal population standard deviations are met is reasonable a. Letc. I, and my be the population means for family cars passenger vans and trucks, respectively What are the correct hypotheses for a one-way ANOVA test? ОА н е урт Not all the means are Ос, но не He MP3 OBH N How OD. Hoc Hol the means are al Conduct a one-way ANOVA test on the data What is the statisti? (Hound to two decimal places as needed) Determine the value Round to redecimal places as needed) Click to select your answers 30 1)

Answer 1

Given, vehicle Type Chest compression (mm) 31 33 32 36 33 42 33 28 28 30 32 25 family cors Passenger Vans Trucks 33 37 | 29 27131 36 Hypothesis Ho!- Mc = ly eli - Hal- uc £ u v £ UT Calculations! V = 3 n = 18 Ti ri Ivehicle Type 2 3 5 6 31 33 33 207 6 14. 42 25 33 28 32 36 28 30 37 29 32 6 176 193 Т. 27 31 33 36 6 REDMI --- --C MI DUAL CAMERA

Data Eye Ti2lri 7223 5206 6285 7141.5 5162167 6208.17 18714 1851234 Calculations : Grand Total = (G) Eeyij 576 2 Critical factor Ccifi) - 2 (576) 18 (cf.) = 1843? Total Sum of square? Iss seyije Cf. 18714 18 432 TSS 282

3 Pago No Dato Sum of Square due Square due to Treatment :- SSL E 1:2 Cif - ri 18512.34 184.32 sstra 80.34 Isum of square due to Error ir SSE - TSS SST 282 80:34 SS E 20166 MSSTY : 80.34 S SEX df 40:17 2 MSSE = 13.44 SSE df 201.66 15 df ( Treatment ) = V-1 3-1 2 Idfc Error 2 n - V 18 - 3 - 15 1dfc Total 2 n-1 18 - 1

Page 1 4 ANOVA Table - Estatistic source of Degrees of Sum of Ivanation freedom square Mean sum of square Treatment 2 80134 40:17 2.9879 13.44 Error IS 201.66 Total 17 282 P- $45STX MSSE 40:17 13.44 2.9879 critical value !- fa fandte, dfz 5 Foos, 2, 15 2 B.68 P-value !- from Excel 1.P-value FDIST ( X, deg. freedom by deg-freecom2) PDSST ( 2.9879, 2, 15) 00808

5 Data f cal < ftab p-value > o.o5 We fail to Reject Ho at Ho at 5 % L.o.s. Conclusion's fail to reject HO . ALL the means are equali Resulti- f statistic 2:9879_ P-valu e 00808