Question

A brewery claims that the mean amount of beer in their bottles is at least 12 ounces. Determine whether the hypothesis test for this claim is left-tailed, right-tailed, or two-tailed.

Answer 1

Answer: The hypothesis test for this claim is left-tailed.

Step-by-step explanation:

Given  : A brewery claims that the mean amount of beer in their bottles is at least 12 ounces.

Let $\mu$ represents the mean amount ( in ounces) of beer in any bottle.

Claim : $\mu\geq12$

We know that the null hypothesis always takes equality sign, then the set of hypothesis for the given claim will be :-

$H_0:\mu\geq12\\\\H_a:\mu<12$

Since , the alternative hypothesis is left tailed , the hypothesis test for this claim is left-tailed.