I have an exam in two days and can't figure this out at all:
In the local cola canning factory, the mean fill of cans is set at 300 milliliters but there is concern that the population mean fill may not in fact be 300ml. Assume that the standard deviation of the amount of cola in a random can is 1. 2 ml. A random sample of 100 cans showed a mean fill of x̄ 299. 64 ml.
Is there evidence at the 1% significance level that the population mean fill differs from 300 ml? To answer this question, carry out in detail a z-test but do not use the p-value method.
Calculate the p-value of the test in (i) above and explain why your decision would be the same as that which you reached in (i) if you had been asked to conduct the test in (i) by the p-value method.