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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.)

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.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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.
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