A simple random sample of 25 filtered 100mm cigarettes is obtained, and the tar
ID: 2909076 • Letter: A
Question
A simple random sample of 25 filtered 100mm cigarettes is obtained, and the tar content of each cigarette is measured. The sample has a mean 18.8mg and a standard deviation of 3.84mg. Use 0.05 significance level to test the claim that the mean tar content of filtered 100mm cigarettes is less then 21.1mg, which is the mean for unfiltered king size cigarettes. What do the results suggest, if anything about the effectiveness of the filters?
A) What is the test Statistic? = ____ Round to 2 decimal places
B) What is the critical Values= ___ Round to 2 decimal places as needed, Use a comma to separate answers as needed
C)What is the P-Value = ___ Round to four decimal places as needed
D) What is the final Conclusion:
A)Fail to reject Ho There is sufficient evidence to warrant rejection of the claim
B)Reject Ho There is not sufficient evidence to warrant rejection of the claim
C)Reject Ho There is sufficient evidence to warrant rejection of the claim
D)Fail to reject Ho There is not sufficient evidence to warrant rejection of the claim
Explanation / Answer
The statistical software output for this problem is:
One sample T summary hypothesis test:
? : Mean of population
H0 : ? = 21.1
HA : ? < 21.1
Hypothesis test results:
Hence,
a) Test statistic = -2.99
b) Critical value = -1.71
c) P - value = 0.0031
d) Final conclusion:
Reject Ho There is sufficient evidence to warrant rejection of the claim. Option C is correct.
Mean Sample Mean Std. Err. DF T-Stat P-value ? 18.8 0.768 24 -2.9947917 0.0031Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.