A specialty coffee roaster claims that their 'Dark Peak' espresso beans contain an average of 14.5 mg of caffeine per gram. A food scientist suspects that recent inconsistencies in roasting temperatures have altered this mean caffeine content. A random sample of 8 grams of beans is analyzed, and the caffeine concentration $c$ (in mg/g) for each is recorded below:

\quad 14.9, \quad 15.1, \quad 14.7, \quad 14.5, \quad 15.0, \quad 14.8, \quad 14.8

Conduct a hypothesis test at the 10% significance level to investigate the scientist's suspicion. You may assume that caffeine concentrations are normally distributed with a standard deviation of 0.4 mg/g.

\quad 14.9, \quad 15.1, \quad 14.7, \quad 14.5, \quad 15.0, \quad 14.8, \quad 14.8

3.7 Hypothesis Testing with the Normal Distribution

Question 88

Markscheme

3.7 Hypothesis Testing with the Normal Distribution

Question 88

Markscheme

3.7 Hypothesis Testing with the Normal Distribution

Question 88

3.7 Hypothesis Testing with the Normal Distribution Questions

3.7 Hypothesis Testing with the Normal Distribution

Question 88

3.7 Hypothesis Testing with the Normal Distribution Questions