A random sample of eight cigarettes of certain brand has an average nicotine content of 18.6 milligrams and a standard deviation of 22.4 milligrams. Is this in line with the manufacturer’s claim that average nicotine content does not exceed 17.5 milligrams? Use a 0.01 level of significance and assume the distribution of nicotine contents to be normal.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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(a) The gain in weight of two random samples of rats fed on two different diets A and B are given below. Examine whether the difference in mean
increases in weight is significant.
Diet A:  13   14     10    11    12    16    10    8
Diet B:   7     10     12     8     10    11    9    10    11.

(b) A random sample of eight cigarettes of certain brand has an average nicotine content of 18.6 milligrams and a standard deviation of 22.4 milligrams. Is this in line with the manufacturer’s claim that average nicotine content does not exceed 17.5 milligrams? Use a 0.01 level of significance and assume the distribution of nicotine contents to be normal.

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