A restaurant claims that the standard deviation in the lenght of serving times is less than 2.9 minutes. A random sample of 23 serving times has a standard deviation of 2.1 minutes. At alpha = 0.05, is there enough evidence to support the restaurant's claim? Assume the population is normally distributed. Below is the minitab output. Test and CI for One Variance Method:
Null hypothesis Sigma = 2.9 Alternative hypothesis Sigma < 2.9
Test
Method: Chi-Square, Statistic: 11.54, DF: 22, P-Value: 0.034
A) Reject Ho, the restaurant's claim is NOT supported
B) Fail to reject Ho, the restaurant's claim is NOT supported
C) Fail to reject Ho, the restaurant's claim is supported
D) Reject Ho, the restaurant's claim is supported