SOLUTION: 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 hypot

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Question 384519: 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?
Answer
a.Ho : x-bar = 16HA : x-bar not equal to 16
Ho : u = 16HA : u not equal to 16
Ho : u >16HA : u < 16
Ho : x-bar > 16HA : x-bar <16
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
You want the null Ho to be very specific. So you want an equation in the null hypothesis. This means that we can rule out the last two choices.


Now because we're doing a test on a population parameter, this means that we're going to be testing mu and NOT . Why? Because we can very easily find the value of for that given sample (since this is the sample mean), so there's no need to test it. However, we can't easily find the value of mu, which means that we need to test it. So this rules out the first choice.


So the answer is

H%5Bo%5D: mu=16
H%5BA%5D: mu%3C%3E16