**Question g:**Under the Null Hypothesis, what is the probability the sample mean will be over 6?---**Question h:**If the significance level was set at 5%, would the power increase, decrease or stay the same?---**Question i:**If the test was conducted, and the p-value was 0.085, would the decision be Reject or Fail to Reject the Null Hypothesis?---**Question j:**If the sample size was changed to 100, would the shaded area on the bottom (Ha) graph increase, decrease or stay the same?---*Note: The text does not provide any graphs or diagrams to explain.* **Hypothesis Test for Population Mean Design**This educational content illustrates a hypothesis test for the population mean design using diagrams under the Null Hypothesis and a specific Alternative Hypothesis. The sample size for this test is 200.### Diagrams Explained**Top Diagram: Distribution under Null Hypothesis (H₀)**- The graph displays a normal distribution curve labeled "Distribution of x̄ under H₀."- A vertical line at $ x = 6 $ represents the critical value for rejecting the Null Hypothesis.- The area to the left of $ x = 6 $ is labeled "Area = .10," indicating the significance level.- The region left of $ x = 6 $ and under the curve is marked as "Reject H₀," while to the right of $ x = 6 $ is labeled "Fail to Reject H₀."**Bottom Diagram: Distribution under Alternative Hypothesis (Hₐ)**- This diagram also shows a normal distribution curve labeled "Distribution of x̄ under Hₐ."- A vertical line at $ x = 6 $ marks the critical value, with the population mean indicated at $ x = 4 $.- The shaded area to the right of the critical value $ x = 6 $ is marked "Area = .09," representing the test's power.### Questions and Answersa. **State the Null and Alternative Hypotheses:** - Null Hypothesis ($ H₀ $): The population mean is equal to a specific value (e.g., μ = 6). - Alternative Hypothesis ($ Hₐ $): The population mean is not equal to this value or is less (depending on the context).b. **What are the values of μ₀ and μₐ in this problem?** - μ₀ (mean under H₀) is 6. - μₐ (mean under Hₐ) is 4.c. **What is the significance level of the test?** - The significance level ($ \alpha $) is 0.10.d. **What is the Power of the test when the population mean = 4?** - The power of the test, represented by the area to the right of the critical value under the Alternative Hypothesis distribution, is 0.09.e. **Determine the probability associated with Type

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Description: **Question g:**Under the Null Hypothesis, what is the probability the sample mean will be over 6?---**Question h:**If the significance level was set at 5%, would the power increase, decrease or stay the same?---**Question i:**If the test was conduct

(a) The null hypothesis is the statement or the hypothesis with no difference, while alternative hypothesis is any hypothesis contrary to the null hypothesis. Null Hypothesis : There is no significant difference between the sample mean and the population mean. Alternative Hypothesis : There is a significant difference between the sample mean and the population mean. (b) The value for μo and μ1 are : Ho: μo=8H1: μ1=6 (<8) - Left tailed (c) The area shaded defines the level of significance. This is a one-tailed test, and area shaded is 0.10. Thus the significance level for this test is α=10% and the confidence level is 90%

Math

Statistics

30. The drawing shown diagrams a hypothesis test for population mean design under the Null Hypothesis (top drawing) and a specific Alternative Hypothesis (bottom drawing). The sample size for the test is 200. a. State the Null and Alternative Hypotheses Distribat ion ofF veder Ho b. What are the values of Ho and H, in this problem? Aren a. lo c. What is the significance Reject Ho level of the test? Fail to Regert Ho

30. The drawing shown diagrams a hypothesis test for population mean design under the Null Hypothesis (top drawing) and a specific Alternative Hypothesis (bottom drawing). The sample size for the test is 200. a. State the Null and Alternative Hypotheses Distribat ion ofF veder Ho b. What are the values of Ho and H, in this problem? Aren a. lo c. What is the significance Reject Ho level of the test? Fail to Regert Ho

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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