### Hypothesis Testing: Significance Level and P-Value Calculation#### Hypothesis StatementYou wish to test the following claim (Ha) at a significance level of α = 0.01.- \( H_0: \mu = 84.5 \)- \( H_a: \mu \neq 84.5 \)#### Given DataYou believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size \( n = 66 \) with mean \( M = 94.1 \) and a standard deviation of \( SD = 19.5 \).#### Calculation of Test StatisticWhat is the test statistic for this sample? (Report answer accurate to three decimal places.)\[ \text{test statistic} = \]#### Calculation of P-ValueWhat is the p-value for this sample? (Report answer accurate to four decimal places.)\[ \text{p-value} = \]#### P-Value ComparisonThe p-value is...- [ ] less than (or equal to) α- [ ] greater than α#### Decision Based on Test StatisticThis test statistic leads to a decision to...- [ ] reject the null- [ ] accept the null- [ ] fail to reject the null#### Final ConclusionAs such, the final conclusion is that...- [ ] There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 84.5.- [ ] There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 84.5.- [ ] The sample data support the claim that the population mean is not equal to 84.5.- [ ] There is not sufficient sample evidence to support the claim that the population mean is not equal to 84.5.This form guides students through the process of hypothesis testing, from stating the hypotheses to calculating the test statistic and p-value, making a decision, and drawing a conclusion based on that decision.

You wish to test the following claim (H.) at a significance level of a = 0.01. H,:µ = 84.5 Ha:µ + 84.5 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 66 with mean M = 94.1 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... less than (or equal to) a greater than a This test statistic leads to a decision to... reject the null accept the null fail to reject the null 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 84.5. There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 84.5. The sample data support the claim that the population mean is not equal to 84.5. There is not sufficient sample evidence to support the claim that the population mean is not equal to

You wish to test the following claim (H.) at a significance level of a = 0.01. H,:µ = 84.5 Ha:µ + 84.5 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 66 with mean M = 94.1 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... less than (or equal to) a greater than a This test statistic leads to a decision to... reject the null accept the null fail to reject the null 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 84.5. There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 84.5. The sample data support the claim that the population mean is not equal to 84.5. There is not sufficient sample evidence to support the claim that the population mean is not equal to

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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