The following n = 10 observations are a sample from a normal population. 7.3 7.0 6.5 7.5 7.6 6.3 6.9 7.7 6.5 7.0 (a) Find the mean and standard deviation of these data. (Round your standard deviation to four decimal places.) mean standard deviation (b) Find a 99% upper one-sided confidence bound for the population mean u. (Round your answer to three decimal places.) (c) Test Ho: u = 7.5 versus H: u < 7.5. Use a = 0.01. State the test statistic. (Round your answer to three decimal places.) t = State the rejection region. (If the test is one-tailed, enter NONE for the unused region. Round your answers to three decimal places.) t> t < State the conclusion. O H, is rejected. There is insufficient evidence to conclude that the mean is less than 7.5. O H, is not rejected. There is sufficient evidence to conclude that the mean is less than 7.5. O H, is not rejected. There is insufficient evidence to conclude that the mean is less than 7.5. O H, is rejected. There is sufficient evidence to conclude that the mean is less than 7.5.
The following n = 10 observations are a sample from a normal population. 7.3 7.0 6.5 7.5 7.6 6.3 6.9 7.7 6.5 7.0 (a) Find the mean and standard deviation of these data. (Round your standard deviation to four decimal places.) mean standard deviation (b) Find a 99% upper one-sided confidence bound for the population mean u. (Round your answer to three decimal places.) (c) Test Ho: u = 7.5 versus H: u < 7.5. Use a = 0.01. State the test statistic. (Round your answer to three decimal places.) t = State the rejection region. (If the test is one-tailed, enter NONE for the unused region. Round your answers to three decimal places.) t> t < State the conclusion. O H, is rejected. There is insufficient evidence to conclude that the mean is less than 7.5. O H, is not rejected. There is sufficient evidence to conclude that the mean is less than 7.5. O H, is not rejected. There is insufficient evidence to conclude that the mean is less than 7.5. O H, is rejected. There is sufficient evidence to conclude that the mean is less than 7.5.
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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20 this question has part a,b,c, and d
![The following \( n = 10 \) observations are a sample from a normal population.
\[ 7.3 \quad 7.0 \quad 6.5 \quad 7.5 \quad 7.6 \quad 6.3 \quad 6.9 \quad 7.7 \quad 6.5 \quad 7.0 \]
(a) Find the mean and standard deviation of these data. (Round your standard deviation to four decimal places.)
- **Mean**: [Input box]
- **Standard deviation**: [Input box]
(b) Find a 99% upper one-sided confidence bound for the population mean \( \mu \). (Round your answer to three decimal places.)
- [Input box]
(c) Test \( H_0 : \mu = 7.5 \) versus \( H_a : \mu < 7.5 \). Use \( \alpha = 0.01 \).
- **State the test statistic. (Round your answer to three decimal places.)**
\( t = \) [Input box]
- **State the rejection region. (If the test is one-tailed, enter NONE for the unused region. Round your answers to three decimal places.)**
\( t > \) [Input box]
\( t < \) [Input box]
- **State the conclusion.**
- \( H_0 \) is rejected. There is insufficient evidence to conclude that the mean is less than 7.5.
- \( H_0 \) is not rejected. There is sufficient evidence to conclude that the mean is less than 7.5.
- \( H_0 \) is not rejected. There is insufficient evidence to conclude that the mean is less than 7.5.
- \( H_0 \) is rejected. There is sufficient evidence to conclude that the mean is less than 7.5.
(d) Do the results of part (b) support your conclusion in part (c)?
- [ ] Yes
- [ ] No](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7104469d-fb7e-48cd-bb9c-a2d8cb607855%2Fe66ed7b9-bb0b-4f4b-8218-7a276c102e91%2Fmndft49_processed.png&w=3840&q=75)
Transcribed Image Text:The following \( n = 10 \) observations are a sample from a normal population.
\[ 7.3 \quad 7.0 \quad 6.5 \quad 7.5 \quad 7.6 \quad 6.3 \quad 6.9 \quad 7.7 \quad 6.5 \quad 7.0 \]
(a) Find the mean and standard deviation of these data. (Round your standard deviation to four decimal places.)
- **Mean**: [Input box]
- **Standard deviation**: [Input box]
(b) Find a 99% upper one-sided confidence bound for the population mean \( \mu \). (Round your answer to three decimal places.)
- [Input box]
(c) Test \( H_0 : \mu = 7.5 \) versus \( H_a : \mu < 7.5 \). Use \( \alpha = 0.01 \).
- **State the test statistic. (Round your answer to three decimal places.)**
\( t = \) [Input box]
- **State the rejection region. (If the test is one-tailed, enter NONE for the unused region. Round your answers to three decimal places.)**
\( t > \) [Input box]
\( t < \) [Input box]
- **State the conclusion.**
- \( H_0 \) is rejected. There is insufficient evidence to conclude that the mean is less than 7.5.
- \( H_0 \) is not rejected. There is sufficient evidence to conclude that the mean is less than 7.5.
- \( H_0 \) is not rejected. There is insufficient evidence to conclude that the mean is less than 7.5.
- \( H_0 \) is rejected. There is sufficient evidence to conclude that the mean is less than 7.5.
(d) Do the results of part (b) support your conclusion in part (c)?
- [ ] Yes
- [ ] No
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