Here is a transcription of the provided image streamlining for use on an educational website. The text conveys instructions for conducting a hypothesis test, calculating the test statistic and p-value, and making a decision based on the results.---## Hypothesis Testing: A Step-by-Step GuideYou wish to test the following claim ($ H_a $) at a significance level of $ \alpha = 0.001 $:\[ H_0: \mu = 69.9 \\H_a: \mu \ne 69.9 \]You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size $ n = 621 $ with mean $ M = 71.5 $ and a standard deviation of $ SD = 19.5 $.### Steps to Perform the Test:1. **Calculate the Test Statistic:** What is the test statistic for this sample? (Report answer accurate to three decimal places.) \[ \text{test statistic} = \_\_\_\_\_ \]2. **Determine the p-value:** What is the p-value for this sample? (Report answer accurate to four decimal places.) \[ \text{p-value} = \_\_\_\_\_ \]### Decision Making Based on p-value:- The p-value is... - ○ less than (or equal to) $ \alpha $ - ○ greater than $ \alpha $This test statistic leads to a decision to... - ○ reject the null - ○ accept the null - ○ fail to reject the null### Conclusion:As such, the final conclusion is that... - ○ There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 69.9. - ○ There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 69.9. - ○ The sample data support the claim that the population mean is not equal to 69.9. - ○ There is not sufficient sample evidence to support the claim that the population mean is not equal to 69.9.---### Explanation of the Calculations:1. **Test Statistic Calculation:** The test statistic can be calculated using the formula for the one-sample z-test: \[ z = \frac{M -

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The random variable X follows normal distribution. We have to test whether the population mean is…

Math

Statistics

You wish to test the following claim (Ha) at a significance level of a = 0.001. 69.9 Ha:µ # 69.9 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 621 with mean M = 71.5 and a standard deviation of SD = 19.5. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a greater than a This test statistic leads to a decision to... reject the null accept the null O fail to reject the null As such, the final conclusion is that.. O There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 69.9. O There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 69.9. The sample data support the claim that the population mean is not equal to 69.9. There is not sufficient sample evidence to support the claim that the population mean is not equal to 69.9.

You wish to test the following claim (Ha) at a significance level of a = 0.001. 69.9 Ha:µ # 69.9 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 621 with mean M = 71.5 and a standard deviation of SD = 19.5. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a greater than a This test statistic leads to a decision to... reject the null accept the null O fail to reject the null As such, the final conclusion is that.. O There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 69.9. O There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 69.9. The sample data support the claim that the population mean is not equal to 69.9. There is not sufficient sample evidence to support the claim that the population mean is not equal to 69.9.

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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