It takes an average of 13.3 minutes for blood to begin clotting after an injury. An EMT wants to see if the average will decline if the patient is immediately told the truth about the injury. The EMT randomly selected 51 injured patients to immediately tell the truth about the injury and noticed that they averaged 13.1 minutes for their blood to begin clotting after their injury. Their standard deviation was 4.73 minutes. What can be concluded at the the a = 0.10 level of significance? a. For this study, we should use t-test for a population mean b. The null and alternative hypotheses would be: Ho: ?v Select an answerv Hj: ?v| Select an answer♥ c. The test statistic ?♥ = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
100%

Please answer B, C,  & D. 

**Topic: Hypothesis Testing for Blood Clotting Time**

It takes an average of 13.3 minutes for blood to begin clotting after an injury. An EMT wants to determine if the average time will decline if the patient is immediately informed about the truth of their injury. The EMT randomly selected 51 injured patients, instructed them truthfully about their injury, and found that the average time for blood to start clotting was 13.1 minutes. The standard deviation of these times was 4.73 minutes. We seek to understand the conclusion at the α = 0.10 significance level.

**a. Statistical Test Selection**
For this study, we should use a *t-test for a population mean*.

**b. Hypotheses Formulation**
- **Null Hypothesis (H₀):** The average clotting time is equal to 13.3 minutes.
- **Alternative Hypothesis (H₁):** The average clotting time is less than 13.3 minutes.

**c. Calculating the Test Statistic**
Calculate the test statistic and provide your answer rounded to three decimal places.

**d. Determining the p-value**
Calculate the p-value and provide your answer rounded to four decimal places.

**e. Comparing p-value with Alpha**
The p-value is compared to α (0.10). In this scenario, it is stated that the p-value is greater than α.

**f. Decision Making**
Based on the above comparison, we should *fail to reject* the null hypothesis.

Thus, there is insufficient evidence to conclude that informing patients about their injury reduces the average time for blood to begin clotting.
Transcribed Image Text:**Topic: Hypothesis Testing for Blood Clotting Time** It takes an average of 13.3 minutes for blood to begin clotting after an injury. An EMT wants to determine if the average time will decline if the patient is immediately informed about the truth of their injury. The EMT randomly selected 51 injured patients, instructed them truthfully about their injury, and found that the average time for blood to start clotting was 13.1 minutes. The standard deviation of these times was 4.73 minutes. We seek to understand the conclusion at the α = 0.10 significance level. **a. Statistical Test Selection** For this study, we should use a *t-test for a population mean*. **b. Hypotheses Formulation** - **Null Hypothesis (H₀):** The average clotting time is equal to 13.3 minutes. - **Alternative Hypothesis (H₁):** The average clotting time is less than 13.3 minutes. **c. Calculating the Test Statistic** Calculate the test statistic and provide your answer rounded to three decimal places. **d. Determining the p-value** Calculate the p-value and provide your answer rounded to four decimal places. **e. Comparing p-value with Alpha** The p-value is compared to α (0.10). In this scenario, it is stated that the p-value is greater than α. **f. Decision Making** Based on the above comparison, we should *fail to reject* the null hypothesis. Thus, there is insufficient evidence to conclude that informing patients about their injury reduces the average time for blood to begin clotting.
Expert Solution
steps

Step by step

Solved in 3 steps with 4 images

Blurred answer
Knowledge Booster
Matrix Operations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman