(Solved): Refer to the accomparying dala table, which shows the anoun's of nicotine (mig per cigarette) in ki ...

Refer to the accomparying dala table, which shows the anoun's of nicotine (mig per cigarette) in king-size cigarelles, 100-mm menthol cigaretfes, and 100 -mm nonmenthol cigareties. The king-siz cigarettes are nonfiliered, whilo the \( 100-m m \) menthol cigarelles and the \( 100-m n \) nonmenthol cigaretles are fitered. Use a \( 0.05 \) significance fevel to tost the claim that the three categonies of cigarettes yieid the same mean amount of nicotine. Given that only the king-size cigareles are not flllered, do the fillers appear to make a difference? Cick the icon to view the daka table of the ricotine ambunts. Detemine the mil and alemative typotheses. \[ \begin{array}{l} H_{0} \\ H_{4} \end{array} \] Find the \( F \) test statiste. \( F= \) (Round to four deciend places as needed.) Find the Pralue uting the \( F \) lest statistic: Pivalue \( = \) (Round to four decimel places as needed) What is the condusion lar this hypothesis test? A. Roject \( H_{0} \) - There is insulficient evidence ta wartart fipcton of the ciam that the tree catngories of ogaretes yeld the same mean anount of nicothe B. Fals roject \( H_{0} \). There is sulficent evibenco to warant rejection of the daim that the thee categonies of coarettes yeid the same mean ansurt of ricotine. 0. Fuiecthon There is suffient evidence to marrant rejection of the dam that the three categories of cigarpeles yeld be same mean amount of Hicotine. Do the fants acpear to make a diference? Refer to the accompanying data tablo, which shows the amounts of nicotine (me per cigaretie) in king-size cigarettes, 100-rnm menthol cigarettes, and \( 100-m m \) nonmenthol cigareties. The kin cigarettes are nonfilered, while the 100-mm menthol cigarettes and the 100-mm nonmenthol cigaretles are fitiered. Use a \( 0.05 \) significance level to test the claim that the three categorios of cigareties yield the same mean amount of nicoline. Given that only the king-ske cigarettes are not fittorod, do the fiters appear to make a difference? Click the icon to view the data table of the ricotine amcunts. F. (Round to lour decimal places as reedod) Find the P value using the F test olatetie. Pudelen (Round to four decimal places as needed.) What is the condution for this hypothess test? A. Reject \( H_{0} \). There a insuffcient evidence to warmar rejection of the clam that the thee calogories of cigasesles yeid the same mean amouth of ricotine: 8. Fall to reject Hy. There is wiffoed evidence to werant rejection of the clam that the bree calegaries of coarettes yield the same mean anount of ricotine. D. Reject \( \mathrm{H}_{0} \). Thece is wiflicient evidence to warrant rejecton of the daim that the thee categories of cigaretles ywid eve same mean amount of nicotine: Do the faiss apear to maki a difference? B. The rewits are incondutive becouse the king-were digaretles are a diferent size than the fittred ofaretles. C. No, the finen do not appear to make a deference bectuse there is sulficient evidence to warrant rejection of the ciam. D. No, the fiters do not apoeer to make a dwerence because there is insufficient evidence to warrant rejecton of the diain. Nicotine amounts (mg)