Question

Refer to the accompanying datatable, which shows the amounts of nicotine (mg per cigarette) in king- sigarettes, 100 menthol cigarettes and 100-mm nonmental cigarettes. The king-size cigarettes are no litered, while the 100-mm menthol cigarettes and the 100-mm nonmenthol cigarettes are flered. Use a 0.06 significance level to test the claim that the three categories of cigarettes yield the same man amount of nicotine. Given that only the king size cigarettes are not fired, do the Stars appear to make a difference? Click the icon to view the datatable of the nicotine amounts. Determine the land alterative hypotheses Ho Hi Find the best statistic F. (Round to four decimal places as needed) Find the value using the Flest sati P-value Round to four decimal places es ded) What is the conclusion for this hypothesis test? O A Reject Hy. There is insufficient evidence to warrant rejection of the claim that the three categories of cigarettes yield the same mean amount of nicotine. OB. Fail to reject Ho. There is insuficient evidence to warrant rejection of the claim that the three categories of cigarettes yield the same mean amount of nicotine. OC. Falto reject H. There is suficient evidence to warrant rejection of the claim that the three categories of cigarettes yield the same mean amount of nicotine OD. Reject Hy. There is sufficient evidence to warrant rejection of the claim that the three categories of cigarettes yield the same mon amount of tine

Answer 1

Solution:

a) Test hypothesis:

H0 : $\mu_1\neq\mu_2\neq\mu_3$

Ha : Atleast one of the three population mean is different from others.

b) Test statistic:

F-statistic = 5.03041

Data Summary Groups N Mean Std. Dev. Std. Error Group 1 10 1.22 0.2044 0.0646 Group 2 10 1.01 0.1595 0.0504 Group 3 10 0.87 0.3433 0.1086 ANOVA Summary Degrees of Sum of Mean Freedom Squares Square P- Source F-Stat Value DF SS MS Between Groups 2 0.6207 0.3103 5.0304 0.0139 Within 27 1.6657 0.0617 Groups Total: 29 2.2863

c) P-value = 0.0139

d) Since, p-value < 0.05, Reject H0, Their is sufficient evidence. Option D

e) Option A