It takes an average of 8.7 minutes for blood to begin clotting after an injury. An EMT wants to see if the average will increase if the patient is immediately told the truth about the injury. The EMT randomly selected 50 injured patients to immediately tell the truth about the injury and noticed that they averaged 8.9 minutes for their blood to begin clotting after their injury. Their standard deviation was 1.57 minutes. What can be concluded at the the a = 0.10 level of significance? %3D a. For this study, we should use (Select an answer b. The null and alternative hypotheses would be: Ho: Select an answer H1: 2 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.) e. The p-value is (?a f. Based on this, we should (Select an answer the null hypothesis. g. Thus, the final conclusion is that...
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
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### Impact of Truth on Blood Clotting Time
It takes an average of 8.7 minutes for blood to begin clotting after an injury. An EMT wants to see if the average will increase if the patient is immediately told the truth about the injury. The EMT randomly selected 50 injured patients to immediately tell the truth about the injury and noticed that they averaged 8.9 minutes for their blood to begin clotting after their injury. Their standard deviation was 1.57 minutes. What can be concluded at the α = 0.10 level of significance?
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a. **For this study, we should use:**
- **Answer Options:**
- One-sample t-test.
- Two-sample t-test.
- Paired t-test.
- Chi-square test.
---
b. **The null and alternative hypotheses would be:**
- **H₀:**
- μ = 8.7
- μ ≠ 8.7
- μ > 8.7
- μ < 8.7
- **H₁:**
- μ = 8.7
- μ ≠ 8.7
- μ > 8.7
- μ < 8.7
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c. **The test statistic (t) = __** (please show your answer to 3 decimal places.)
---
d. **The p-value = __** (please show your answer to 4 decimal places.)
---
e. **The p-value is __ α.**
- **Answer Options:**
- Less than.
- Greater than.
- Equal to.
---
f. **Based on this, we should __ the null hypothesis.**
- **Answer Options:**
- Reject.
- Fail to reject.
---
g. **Thus, the final conclusion is that...**
- **Answer Options:**
- The data suggest the population mean is not significantly greater than 8.7 at α = 0.10, so there is statistically significant evidence to conclude that the population mean time for blood to begin clotting after an injury if the patient is told the truth immediately is equal to 8.7.
- The data suggest that the population mean is not significantly greater than 8.7 at α = 0.10, so there is statistically insignificant evidence to conclude](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffd16ddfa-c201-4e3f-90ee-e0e9ce8bf5de%2F4bc2c7a5-4579-445d-93fc-bd7d615a5053%2F8lbcsaf_processed.jpeg&w=3840&q=75)
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