A restaurant that bills its house account monthly is concerned that the average monthly bill exceeds $200 per account. A random sample of twelve accounts is selected, resulting in a sample mean of $220 and a standard deviation of $12. The t-test is to be conducted at the 5% level of significance.
A) The null hypothesis is $\mu$ $\le$ 200. The alternate hypothesis is $\mu$ $\le$ 200.
B) The null hypothesis is $\mu$ $\le$ 200. The alternate hypothesis is $\mu$ 200.
C) The null hypothesis is $\mu$ = 200. The alternate hypothesis is $\mu$ $\neq$ 200.
D) The null hypothesis is $\mu$ 200. The alternate hypothesis is $\mu$ $\le$ 200
E) The null hypothesis is $\mu$ $\le$ 220. The alternate hypothesis is $\mu$ 220.

Question

A restaurant that bills its house account monthly is concerned that the average monthly bill exceeds $200 per account. A random sample of twelve accounts is selected, resulting in a sample mean of $220 and a standard deviation of $12. The t-test is to be conducted at the 5% level of significance.
A) The null hypothesis is $\mu$ $\le$ 200. The alternate hypothesis is $\mu$ $\le$  200.
B) The null hypothesis is $\mu$ $\le$  200. The alternate hypothesis is $\mu$   > 200.
C) The null hypothesis is $\mu$   = 200. The alternate hypothesis is $\mu$ $\neq$  200.
D) The null hypothesis is $\mu$  > 200. The alternate hypothesis is $\mu$ $\le$  200
E) The null hypothesis is $\mu$ $\le$  220. The alternate hypothesis is $\mu$   > 220.

Quizplus · Accepted Answer

The null hypothesis typically states there is no effect or no difference, which in this context means the average monthly bill is $200 or less ($\mu \leq 200$). The alternate hypothesis is what the restaurant suspects, that the average bill exceeds $200 ($\mu > 200$).

A Restaurant That Bills Its House Account Monthly Is Concerned μ\muμ

A Restaurant That Bills Its House Account Monthly Is Concerned $\mu$