To determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed, let's break down the claim:

• The brewery claims that the mean amount of beer in their bottles is at least 12 ounces.

This is a hypothesis test problem. Let's define the hypotheses:

• Null Hypothesis ($H_0$): The mean amount of beer is at least 12 ounces. Mathematically, $H_0: \mu \geq 12$.
• Alternative Hypothesis ($H_1$): The mean amount of beer is less than 12 ounces. Mathematically, $H_1: \mu < 12$.

Since the alternative hypothesis tests whether the mean is less than 12 ounces, this is a left-tailed test.

Answer:

B. Left-tailed

Would you like more details about hypothesis testing or have any other questions?

Related Questions:

1. How do you determine if a test is one-tailed or two-tailed?
2. What is the difference between a left-tailed and right-tailed test?
3. What role does the null hypothesis play in hypothesis testing?
4. How do you calculate the test statistic for hypothesis testing?
5. When should you use a two-tailed test instead of a one-tailed test?
6. What is the significance level in hypothesis testing?
7. How is the p-value interpreted in left-tailed tests?
8. What assumptions need to be satisfied for a valid hypothesis test?

Tip:

Always align the direction of your alternative hypothesis with the nature of the claim you're testing (less than, greater than, or not equal).