(1 point) The nicotine content in a arettes of a certain brand is normally distr

Question

(1 point) The nicotine content in a arettes 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 their cigarettes is 1.5 mg. Now. suppose a reporter wants to test whether the mean nicotine content is actually higher than advertised. He takes measurements from a random sample of 15 cigarettes of this brand. The sample yields an average of 1.55 mg of nicotine. Conduct a test using a significance level of 0.01 . (a) The test statistic (b) The critical value, zo (c) The final conclusion is O A. There is sufficlent evidence to support the claim O B. There is not sufficient evidence to support the daim. Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have 3 attempts remaining. f10 f1i

Explanation / Answer

The statistical software output for this problem is:

One sample Z summary hypothesis test:
: Mean of population
H0 : = 1.5
HA : > 1.5
Standard deviation = 0.1

Hypothesis test results:

Hence,

a) Test statistic = 1.9364917

b) Critical value = 2.33

c) Option B is correct.

Mean n Sample Mean Std. Err. Z-Stat P-value 15 1.55 0.025819889 1.9364917 0.0264

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