A company that makes shampoo wants to test whether the average amount of shampoo per bottle is 16 ounces.The standard deviation is known to be 0.20 ounces.Assuming that the hypothesis test is to be performed using 0.10 level of significance and a random sample of n = 64 bottles,which of the following would be the correct formulation of the null and alternative hypotheses?

Question

Quizplus · Accepted Answer

The null hypothesis is that the average amount of shampoo per bottle is 16 ounces. 
H0: μ = 16 ounces 
The alternative hypothesis is that the average amount of shampoo per bottle is not 16 ounces. 
Ha: μ ≠ 16 ounces (two-tailed test) 
Since the level of significance is 0.10, we need to use a two-tailed test to capture the possibility of the mean being either greater or less than 16 ounces. The sample size of 64 is large enough to assume that the distribution of the sample mean is approximately normal, so we can use a z-test with the known standard deviation of 0.20 ounces.

A Company That Makes Shampoo Wants to Test Whether the Average