Question

A public bus company official claims that the mean waiting time for bus number 14 during peak hours is less than 10 minutes. Karen took bus number 14 during peak hours on 18 different occasions. Her mean waiting time was 9 minutes with a standard deviation of 2.9 minutes. At the 0.01 significance level, test the claim that the mean waiting time is less than 10 minutes.

- Identify the null hypothesis and alternative hypothesis
- Identify the test statistic
- Identify the P-Value
- Identify the final conclusion that addresses the original claim:
a) Fail to reject Ho. There is sufficient evidence to support the claim that the mean is less than 10 minutes b) Fail to reject Ho. There is not sufficient evidence to support the claim that the mean is less than 10 minutes. c) Fail to reject Ho. There is sufficient evidence to support the claim that the mean is less than 10 minutes. d) Reject Ho. There is not sufficient evidence to support the claim that the mean is less than 10 minutes.

Answer 1