Answer:
Yes, the mean nicotine content is actually higher than advertised.
Step-by-step explanation:
We are given that the nicotine content in cigarettes of a certain brand is known to be right-skewed with mean (in milligrams) μ and a known standard deviation σ = 0.17.
Also, the brand advertises that the mean nicotine content of its cigarettes, is 1.5, but measurements on a random sample of 100 cigarettes of this brand give a sample mean of x bar = 1.53.
Null Hypothesis, : = 1.5
Alternate Hypothesis, : > 1.5
The test statistics used here will be;
T.S. = ~ N(0,1)
Here, n = sample size = 100
So, test statistics = = 1.765
Now, at 0.05 level of significance, the standard z table gives critical value of 1.6449. Since our test statistics is more than the critical value as 1.765 > 1.6449 so we have sufficient evidence to reject null hypothesis as our test statistics fall in the rejection region.
Therefore, we conclude that the mean nicotine content is actually higher than advertised.