This Question: 1 pt This Quiz: 7 pts possible Assume that a simple random sample

Question

This Question: 1 pt This Quiz: 7 pts possible Assume that a simple random sample has ben selected from a nomally istributed population and test the given claim, dendily the mull ad altemalthve hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. A simple random sample of 25 fitered 100 mm cigarettes is obtained, and the tar content of each cigarette is measured. The sample has a mean of 190 mg and a mean for unfihered king size cigarettes. What do the results suggest, if anything, about the effectiveness of the filters? What are the hypotheses? e standard deviation of 3.32 mg. Use a 0.05 significance level to test the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg, which is the past int O B. Ho: >21.1 mg H,: H

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,

Hypotheses: Option A is correct.

t = -3.163

P - value = 0.0021 [Rounded off to 4 decimal places]

Final conclusion: Option B is correct.

What do the results suggest? Option E is correct.

Mean Sample Mean Std. Err. DF T-Stat P-value 19 0.664 24 -3.1626506 0.0021

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