Company A makes a soft drink dispensing machine that allows customers to get soft drinks from the machine in a cup with ice. When the machine is running properly, the average number of fluid ounces in the cup should be 14. Periodically the machines need to be tested to make sure that they have not gone out of adjustment. That means, the average number of fluid ounces in the cup should not be significantly less than or more than 14. To do this, eight cups are filled by the machine and a technician carefully measures the volume in each cup. The mean is found to be 13.73 ounces, with a sample standard deviation of 0.46. At 5% significance level, the company wishes to test whether the machine is dispensing an average of less than 14 fluid ounces. A.
- 1.6602

B.
1.8946

C.
µ < 14

D.
- 1.65

E.
Yes

F.
- 1.8946

G.
µ ≥ 14

H.
The test value falls in the non-critical region.

I.
two-tailed test

J.
one-tailed test

K.
µ > 14

L.
1.6602

M.
There is not enough evidence to conclude that the machine is dispensing an average of 14 fluid ounces.

N.
The test value falls outside of the non-critical region.

O.
No

P.
Reject the null hypothesis.

Q.
Do not reject the null hypothesis.

R.
µ ≤ 14

S.
There is not enough evidence to conclude that the machine is dispensing an average of less than 14 fluid ounces.