Please show work. 10.94 Since 1963, when the surgeon general first reported the
ID: 3055843 • Letter: P
Question
Please show work. 10.94 Since 1963, when the surgeon general first reported the results of tests linking smoking to types of physical ailments, cigarette manufacturers have sought to decrease the amount of harmful impurities in their products. One cigarette manufacturer claims that the mean amount of nicotine in cigarettes sold under its brand does not exceed 15 mg of nicotine. A sample of 16 cigarettes from this manufacturer yields a mean and standard deviation of 16.4 and 2 img of nicotine, respectively. Do the data provide sufficient evidence to refute the manufacturer's claim? Use = .10.
Explanation / Answer
Sol:
H0:mean=15
H1:mean<15
alpha=0.10
test statistic:
t=sample mean-population mean/samplesd/sqrt(n)
=16.4-15/2/sqrt(16)
=1.4/2/4
=2.8
t=2.8
n-1=16-1=15
alpha=0.10
p=0.00673
p<alpha
Reject null hypothesis
Accept alternative Hypothesis
Conclusion:
there is sufficient statistical evidence at 10% level of significance toc conclude that mean amount of nicotinein cigarette sold under its brand does not exceed 15 mg of nicotine.