A tobacco company claims that its best selling cigarettes contain at most 40 mg of nicotine. This claim is tested at the 1% significance level by using the results of 15 randomly selected cigarettes. The mean is 42.6 mg and the standard deviation is 3.7 mg. Evidence suggests that nicotine is normally distributed. Information from a computer output of the hypothesis is test is listed. Sample mean=42.6 p-value=0.008 Sample standard deviation=3.7 significant level=0.01 Sample size=15 Test statistic t=2.72155 df=14 critical value t=2.62449. a. Is this a z test or t test? b. Is this a comparison of one or two sample? c. Is this a right-tailed, left-tailed or two-tailed test? d. From observing the p-value, what would you conclude? e. By comparing the test statistic to the critical value, what would you conclude? f. What has been proved in this study?
A tobacco company claims that its best selling cigarettes contain at most 40 mg of nicotine. This
claim is tested at the 1% significance level by using the results of 15 randomly selected cigarettes. The
mean is 42.6 mg and the standard deviation is 3.7 mg. Evidence suggests that nicotine is normally
distributed. Information from a computer output of the hypothesis is test is listed.
Sample mean=42.6 p-value=0.008
Sample standard deviation=3.7 significant level=0.01
Sample size=15 Test statistic t=2.72155
df=14 critical value t=2.62449.
a. Is this a z test or t test?
b. Is this a comparison of one or two sample?
c. Is this a right-tailed, left-tailed or two-tailed test?
d. From observing the p-value, what would you conclude?
e. By comparing the test statistic to the critical value, what would you conclude?
f. What has been proved in this study?
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