In: Statistics and Probability
A process that produces bottles of shampoo, when operating correctly, produces bottles whose contents weigh, on average 20 ounces. A random sample of nine bottles from a single production run yielded the following content weights (in ounces):
21.4 19.7 19.7 20.6 20.8 20.1 19.7 20.3 20.9
Assuming that the population distribution is normal, test at the 5% significance level against the two-sided alternative the null hypothesis that the process is operating correctly.