Reference no: EM132188585

A coffee shop claims that its fresh-brewed drinks have a mean caffeine content of 80 milligrams per five ounces. You work for a city health agency and are asked to test this claim. You find that a random sample of 42 five-ounce servings has a mean caffeine content of 83 milligrams and a standard deviation of 7.5 milligrams. At = 0.05, do the evidence suggest that the mean caffeine content is in fact different than 80 milligrams per five ounces?

Explain in r code

i) null and alternative hypotheses

ii) statement of assumptions

iii) calculation of the test statistic

iv) calculation of the P-value

v) decision in terms of the null hypothesis