ONLY NEED D & E The mean nicotine content of a simple random sample of 25 unfiltered king-size cigarettes is 1.26 mg, with a standard deviation of 0.23 mg. The mean nicotine content of a simple random sample of 25 filtered 100-mm cigarettes is 0.92 mg with a standard deviation of 0.25 mg. Use a 0.05 significance level to test the claim that unfiltered king-size cigarettes have a mean nicotine content greater than that of filtered 100-mm cigarettes. (Show solution) A. The alternative hypothesis is i. The filtered cigarettes has higher mean nicotine content than that of unfiltered cigarettes. ii. The filtered cigarettes has the same mean nicotine content than that of unfiltered cigarettes. iii. The filtered cigarettes has less mean nicotine content than that of unfiltered cigarettes. iv. The filtered cigarettes has different mean nicotine content than that of unfiltered cigarettes. . B. The computed t-test statistic is i. 5.004 ii. 5.523 iii. 4.502 iv. 4.129 C. The critical/tabular t-test statistic is i. 2.060 ii. 1.711 iii. 2.064 iv. 1.708 D. Decision rule: i. Reject the null hypothesis. ii. Do not reject the null hypothesis. E. The final conclusion is i. Unfiltered king-size cigarettes have a mean nicotine content less than that of filtered 100-mm cigarettes ii. Unfiltered king-size cigarettes have a mean nicotine content greater than that of filtered 100-mm cigarettes iii. Unfiltered king-size cigarettes have a mean nicotine content equal than that of filtered 100-mm cigarettes iv. Unfiltered king-size cigarettes have a mean nicotine content not equal than that of filtered 100-mm cigarettes
I ONLY NEED D & E
The
A. The alternative hypothesis is
i. The filtered cigarettes has higher mean nicotine content than that of unfiltered cigarettes.
ii. The filtered cigarettes has the same mean nicotine content than that of unfiltered cigarettes.
iii. The filtered cigarettes has less mean nicotine content than that of unfiltered cigarettes.
iv. The filtered cigarettes has different mean nicotine content than that of unfiltered cigarettes.
.
B. The computed t-test statistic is
i. 5.004
ii. 5.523
iii. 4.502
iv. 4.129
C. The critical/tabular t-test statistic is
i. 2.060
ii. 1.711
iii. 2.064
iv. 1.708
D. Decision rule:
i. Reject the null hypothesis.
ii. Do not reject the null hypothesis.
E. The final conclusion is
i. Unfiltered king-size cigarettes have a mean nicotine content less than that of filtered 100-mm cigarettes
ii. Unfiltered king-size cigarettes have a mean nicotine content greater than that of filtered 100-mm cigarettes
iii. Unfiltered king-size cigarettes have a mean nicotine content equal than that of filtered 100-mm cigarettes
iv. Unfiltered king-size cigarettes have a mean nicotine content not equal than that of filtered 100-mm cigarettes
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