A manufacturer of energy drinks claims that each can contains a mean caffeine content of 160 mg.
A nutritionist suspects that the caffeine content is actually lower than 160 mg.
The nutritionist tests a sample and records the following summary statistics:
n=150∑x=23745∑x2=3776363 n = 150 \quad \sum x = 23745 \quad \sum x^2 = 3776363 n=150∑x=23745∑x2=3776363Find the mean and standard deviation of the sample.
Carry out a hypothesis test to test the nutritionist's claim at the 1% significance level. State your assumptions clearly.
