Question

A report on a certain fast food restaurant states that μ, the mean order total, is $9. The manager of the restaurant believes the mean is higher. A random sample of orders will be selected. The sample mean x¯ will be calculated and used in a hypothesis test to investigate the belief. Which of the following is the correct set of hypotheses?A. H0:x¯=$9Ha:x¯≠$9B. H0:x¯=$9Ha:x¯>$9 C. H0:μ=$9Ha:μ≠$9 D. H0:μ=$9Ha:μ>$9 E. H0:μ=$9Ha:μ<$9

Answer 1

Answer:

Null Hypothesis, $H_0$ : $\mu$ = $9

Alternate Hypothesis, $H_A$ : $\mu$ > $9

Step-by-step explanation:

We are given that a report on a certain fast food restaurant states that μ, the mean order total, is $9. The manager of the restaurant believes the mean is higher.

A random sample of orders will be selected. The sample mean x¯ will be calculated and used in a hypothesis test to investigate the belief.

Let $\mu$ = the mean order total

So, Null Hypothesis, $H_0$ : $\mu$ = $9

Alternate Hypothesis, $H_A$ : $\mu$ > $9

Here, null hypothesis states that  the mean order total is equal to $9 and the manager claim's is not correct.

On the other hand, alternate hypothesis states that  the mean order total is higher than $9 and the manager claim's is correct.

So, this would be the correct set of hypotheses for testing.