Mathematics

Johanna

22 March, 11:47

The nicotine content in cigarettes of a certain brand is normally distributed with mean

(in milligrams) m and standard deviation s = 0.1. The brand advertises that the mean

nicotine content of their cigarettes is 1.5, but measurements on a random sample of 400

cigarettes of this brand gave a mean of x = 1.52. Is this evidence that the mean nicotine

content is actually higher than advertised? To answer this, test the hypotheses

H0: m = 1.5, Ha: m > 1.5

at significance level a = 0.01. You conclude

A) that H0 should be rejected.

B) that H0 should not be rejected.

C) that Ha should be rejected.

D) that there is a 5% chance that the null hypothesis is true.