Question

a data set includes times (in minutes) of taxi cab rides in new york city yellow cabs during a friday morning of the same day in a recent year. using 38 of the times to test the claim that the mean of all such times is less than 15 minutes, the accompanying minitab display is obtained. test the given claim by using the display provided from minitab. use a 0.10 significance level. click the icon to view the minitab display. identify the test statistic. (round to two decimal places as needed.) identify the p - value. (round to three decimal places as needed.) state the conclusion about the null hypothesis, as well as the final conclusion tha the null hypothesis. there sufficient evidence at the 0.10 the claim that the mean time of all taxi cab rides in new yo morning is less than 15 minutes.

Explanation:

Step1: Identify the test statistic

From the Minitab display, the T - Value is the test statistic.

Step2: Identify the P - value

From the Minitab display, the P - Value is given.

Step3: Make a conclusion about the null hypothesis

Compare the P - value with the significance level ($\alpha = 0.10$). If $P\leq\alpha$, reject the null hypothesis.

Answer:

• Test statistic: $- 1.68$
• P - value: $0.051$
• Conclusion: Since $0.051\leq0.10$, reject the null hypothesis. There is sufficient evidence at the $0.10$ significance level to support the claim that the mean time of all taxi cab rides in New York City yellow cabs during a Friday morning is less than 15 minutes.