Question

A random sample of 500 of a certain brand of cola was taken to see whether the mean weight was 16 fluid ounces as indicated on the container. For the 500 sampled, the mean was found to be 15.9988 with a standard deviation of 0.0985. Does this brand of cola have a population mean of 16 fluid ounces?

What is the p-value for this hypothesis test?
What is the test statistic for this hypothesis test?
What is the critical value of this hypothesis test?
What is the decision of the test?

Answer 1

H₀ : µ = 16

H₁ : µ ≠ 16

b) Test statistic

                        

                         = -0.27

a) p-value = 2 * P(Z < -0.27) = 2 * 0.3936 = 0.7872

c) critical value = + Z_0.025 = -1.96, 1.96

d) Decision: Do not reject H0. Because test statistic lies between -1.96 and 1.96