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

2.5.8 Hypothesis test for a single mean (A-level only)

Question 88

Markscheme

2.5.8 Hypothesis test for a single mean (A-level only)

Question 88

Markscheme

2.5.8 Hypothesis test for a single mean (A-level only)

Question 88

2.5.8 Hypothesis test for a single mean (A-level only) Questions

2.5.8 Hypothesis test for a single mean (A-level only)

Question 88

2.5.8 Hypothesis test for a single mean (A-level only) Questions