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20. The nicotine content in cigarettes of a certain brand is Normally distribute

ID: 3320558 • Letter: 2

Question

20. The nicotine content in cigarettes of a certain brand is Normally distributed, with mean (in milligrams) and standard deviation = 0.1. The brand advertises that the mean nicotine content of its cigarettes is 1.5, A consumer advocacy group believes the cigarette company is downplaving the nicotine content of its cigarettes, and that their cigarettes are more harmful than advertised. The group conducts a hypothesis test to test their belief. The p-value of the hypothesis test is 0.032. Which of the following 95% confidence intervals for the mean nicotine content is possible? (d) We cannot say for certain that one of these intervals is possible

Explanation / Answer

One tailed p - value = 0.032

So two tailed p - value = 2*0.032 = 0.064

Since p - value is greater than 0.05, we reject Ho and hence, the 95% confidence interval should include the hypothesized value i.e. 1.5

There is only one option in which 1.5 is included and i.e. (1.43, 1.52).

Hence,

Option A is correct.