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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 0.05 significance level. Answer The Last Question in Picture: State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim FILL IN THE BANKS

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 0.05 significance level. Answer The Last Question in Picture: State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim FILL IN THE BANKS

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 0.05 significance level. Answer The Last Question in Picture: State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim FILL IN THE BANKS
### Hypothesis Testing of Taxi Cab Ride Times in NYC 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 the data from 38 rides, we are testing the claim that the mean of all such times is less than 15 minutes. The test utilizes the display provided from Minitab with a significance level of 0.05. #### Hypotheses - **Null Hypothesis (H₀):** \[ \mu = 15 \] - **Alternative Hypothesis (H₁):** \[ \mu < 15 \] The values should be input as integers or decimals without rounding. #### Test Statistic - Calculated Test Statistic: \[ -1.67 \] (Rounded to two decimal places) #### P-value - Calculated P-value: \[ 0.052 \] (Rounded to three decimal places) #### Conclusion - **Statement about the Null Hypothesis:** Reject/Fail to reject the null hypothesis based on the P-value. - **Final Conclusion regarding the Claim:** There is insufficient evidence at the 0.05 significance level to support/reject the claim that the mean time of all taxi cab rides in New York City yellow cabs during the Friday morning is less than 15 minutes. This setup and testing procedure is a standard approach in inferential statistics for assessing whether to accept or reject the initial hypothesis about population means based on sample data.
Transcribed Image Text:### Hypothesis Testing of Taxi Cab Ride Times in NYC 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 the data from 38 rides, we are testing the claim that the mean of all such times is less than 15 minutes. The test utilizes the display provided from Minitab with a significance level of 0.05. #### Hypotheses - **Null Hypothesis (H₀):** \[ \mu = 15 \] - **Alternative Hypothesis (H₁):** \[ \mu < 15 \] The values should be input as integers or decimals without rounding. #### Test Statistic - Calculated Test Statistic: \[ -1.67 \] (Rounded to two decimal places) #### P-value - Calculated P-value: \[ 0.052 \] (Rounded to three decimal places) #### Conclusion - **Statement about the Null Hypothesis:** Reject/Fail to reject the null hypothesis based on the P-value. - **Final Conclusion regarding the Claim:** There is insufficient evidence at the 0.05 significance level to support/reject the claim that the mean time of all taxi cab rides in New York City yellow cabs during the Friday morning is less than 15 minutes. This setup and testing procedure is a standard approach in inferential statistics for assessing whether to accept or reject the initial hypothesis about population means based on sample data.
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