The paint used to make lines on roads must reflect enough light to be clearly visible at night. Let u denote the true average reflectometer reading for a new type of paint under consideration. A test of Ho: μ = 20 versus H₂: > 20 will be based on a random sample of size n from a normal population distribution. What conclusion is appropriate in each of the following situations? (Round your P-values to three decimal places.) LUSE SALT (a) n = 13, t = 3.1, a = 0.05 P-value = 0.687 State the conclusion in the problem context. O Reject the null hypothesis. There is not sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20. Reject the null hypothesis. There is sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20. Do not reject the null hypothesis. There is sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20 Do not reject the null hypothesis. There is not sufficient evidence to conclude that the new paint has a reflectometer reading higher that 20. (b) n = 9, t = 1.6, a = 0.01 P-value = 0.539 State the conclusion in the problem context. O Reject the null hypothesis. There is not sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20. O Do not reject the null hypothesis. There is sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20. Do not reject the null hypothesis. There is not sufficient evidence to conclude that the new paint has a reflectometer reading higher that 20. Reject the null hypothesis. There is sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20. (c) n = 26, t = -0.4 P-value = 0.346 State the conclusion in the problem context. O Reject the null hypothesis. There is sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20. O Do not reject the null hypothesis. There is sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20. Do not reject the null hypothesis. There is not sufficient evidence to conclude that the new paint has a reflectometer reading higher that 20.
The paint used to make lines on roads must reflect enough light to be clearly visible at night. Let u denote the true average reflectometer reading for a new type of paint under consideration. A test of Ho: μ = 20 versus H₂: > 20 will be based on a random sample of size n from a normal population distribution. What conclusion is appropriate in each of the following situations? (Round your P-values to three decimal places.) LUSE SALT (a) n = 13, t = 3.1, a = 0.05 P-value = 0.687 State the conclusion in the problem context. O Reject the null hypothesis. There is not sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20. Reject the null hypothesis. There is sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20. Do not reject the null hypothesis. There is sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20 Do not reject the null hypothesis. There is not sufficient evidence to conclude that the new paint has a reflectometer reading higher that 20. (b) n = 9, t = 1.6, a = 0.01 P-value = 0.539 State the conclusion in the problem context. O Reject the null hypothesis. There is not sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20. O Do not reject the null hypothesis. There is sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20. Do not reject the null hypothesis. There is not sufficient evidence to conclude that the new paint has a reflectometer reading higher that 20. Reject the null hypothesis. There is sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20. (c) n = 26, t = -0.4 P-value = 0.346 State the conclusion in the problem context. O Reject the null hypothesis. There is sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20. O Do not reject the null hypothesis. There is sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20. Do not reject the null hypothesis. There is not sufficient evidence to conclude that the new paint has a reflectometer reading higher that 20.
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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Transcribed Image Text:The paint used to make lines on roads must reflect enough light to be clearly visible at night. Let \( \mu \) denote the true average reflectometer reading for a new type of paint under consideration. A test of \( H_0: \mu = 20 \) versus \( H_a: \mu > 20 \) will be based on a random sample of size \( n \) from a normal population distribution. What conclusion is appropriate in each of the following situations? (Round your \( P \)-values to three decimal places.)
### (a)
- **Sample size (\( n \))**: 13
- **Test statistic (\( t \))**: 3.1
- **Significance level (\( \alpha \))**: 0.05
- **\( P \)-value**: 0.687
**Conclusion Options:**
1. Reject the null hypothesis. There is not sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20.
2. **Reject the null hypothesis. There is sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20.**
3. Do not reject the null hypothesis. There is sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20.
4. Do not reject the null hypothesis. There is not sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20.
### (b)
- **Sample size (\( n \))**: 9
- **Test statistic (\( t \))**: 1.6
- **Significance level (\( \alpha \))**: 0.01
- **\( P \)-value**: 0.539
**Conclusion Options:**
1. Reject the null hypothesis. There is not sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20.
2. Do not reject the null hypothesis. There is sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20.
3. **Do not reject the null hypothesis. There is not sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20.**
4. Reject the null hypothesis. There is sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20.
### (c)
- **Sample size (\( n \))**:
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