Question

A call center company requires it's operators to answer the phone in an average time of 0.17 minutes or less. A sample of 32 actual operator times were collected and the results were a mean time of 0.173 minutes and a standard deviation of 0.0183 min. Is this sample mean response time statistically higher than the standard? What can you conclude? Assume alpha = 0.05

Select one:

a. There is statistical evidence that the mean response time exceeds the standard.

b. There is no statistical evidence that the mean response time exceeds the standard.

c. The mean response time is exactly equivalent to the standard.

d. The mean response time exceeds the standard by alpha.

Answer 1

Given, ř= 0.173 $= 0.0183 n = 32 and Alternative hypothesis: Null HoiH s o.17 Haim >0.17 (Noll hypothesis) (Alternative hypothesis) Test Statistic: t = o. 173- 0.17 son = 0.927373 0.0183 1832 0.9274 degrees of freedom, df=nol = 31 P-value: Right lailed p-value = 0.18 0442 Since p-value > a=o.os, do not reject the noll hypothesis. А\50, t=0.9274 ste = 1.6955 Do not reject the null hypothesis. So, it is concluded that the null hypothesis is not rejected. So, there is not enough evidence to claim that the population mear r is greater than on at the 0.05 significance level ie Option