Homework: Week 5 Homework Save Score: 1.2 of 6 pts 6of10(4 complete) Hw Score: 2
ID: 3046674 • Letter: H
Question
Homework: Week 5 Homework Save Score: 1.2 of 6 pts 6of10(4 complete) Hw Score: 24%, 14.4 of 60 pts 8.4.15-T Question Help Assume that a simple random sample has been selected from a normally distributed popula test statistic, P-value, and state the final conclusion that addresses the original claim. A simple random sample of 25 filtered 100 mm cigarettes is standard deviation of 3.16 mg. Use a 0.05 the mean for unfiltered king size cigarettes. results suggest What are the hypotheses? tion and test the given claim. Idenify the null and alternative hypotheses significance level to test the claim that the es. What do the results suggest, if anything, about the effectiveness of the filters? obtained, and the tar content of each cigarette is measured The sample hat a maa of IS ma and a mean tar content of filitered 100 mm cigarettes is less than 21.1 mg, which is VA, Ho: 21.1mg H1 : 21.1mg Ho: #21.1mg H1 : 2 21.1 mg B. Ho: 21.1 mg H1 :Explanation / Answer
hypothesis
ho: u = 21.1
h1: u< 21.1
test statistic
since sample is small (<30) I use one same t test
t = (mean-u)/(sd/sqrt(n))
=(19.6-21.1)/(3.16/SQRT(25))
-2.373417722
p-value
P(T<t)
p(t<-2.37342)
=NORMSDIST(-2.37342)
0.009
conclusion
with t=-2.37342 and p-value < 0.05, I reject ho and conclude that u< 21.1
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