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For questions 1 and 2, refer to the following: The Federal Trade Commission provided measured tar contents...

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Statistics

Forquestions 1 and 2, refer to the following: The FederalTrade Commission provided measured tar contents (in mg) of randomlyselected filtered and nonfiltered king-size cigarettes. A randomsample of 21 filtered king-size cigarettes has a mean tar contentof 13.3 mg with standard deviation 3.7 mg. A random sample of 8nonfiltered king-size cigarettes has a mean tar content of 24.0 mgwith standard deviation 1.7 mg. Assuming unequal variances betweenthe two populations of cigarettes, you need to test the claim thatthe mean amount of tar in filtered king-size cigarettes is lessthan the mean amount of tar in nonfiltered king-size cigarettes ata

0.05 significance level.

  1. What is the most appropriate statistical test?
    1. Two-sample z-test
    2. Two-sample t-test (pooled variance)
    3. Two-sample t-test (unpooled variance)
    4. Paired t test
    5. Two-way ANOVA
  1. What should you use for the value of the test statistic?

a. -17.16

b. -10.70

c. -10.63

d. -7.80

e. -1.90

Answer & Explanation Solved by verified expert
4.5 Ratings (625 Votes)
The correct option is C ie Two samplettestunpooled varianceThe null and alternative hypothesis isThe formula for the twosample ttest    See Answer
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