### Hypothesis Testing ExampleYou wish to test the following claim (Ha) at a significance level of \(\alpha = 0.01\).\[ H_0: \mu = 68.6 \]\[ H_a: \mu \neq 68.6 \]You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size \( n = 503 \) with mean \( M = 64.9 \) and a standard deviation of \( SD = 19.6 \).#### Test Statistic CalculationWhat is the test statistic for this sample? (Report answer accurate to three decimal places.)\[ \text{test statistic} = \_\_\_\_ \]#### p-Value CalculationWhat is the p-value for this sample? (Report answer accurate to four decimal places.)\[ \text{p-value} = \_\_\_\_ \]#### p-Value ComparisonThe p-value is...- \( \circ \) less than (or equal to) \(\alpha\)- \( \circ \) greater than \(\alpha\)#### Decision RuleThis test statistic leads to a decision to...- \( \circ \) reject the null- \( \circ \) accept the null- \( \circ \) fail to reject the null#### ConclusionAs such, the final conclusion is that...- \( \circ \) There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 68.6.- \( \circ \) There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 68.6.- \( \circ \) The sample data support the claim that the population mean is not equal to 68.6.- \( \circ \) There is not sufficient sample evidence to support the claim that the population mean is not equal to 68.6.

given n=503, M=Xbar=64.9, s=sd=19.6 Since n=503( n>30) so we use Z statistic for large sample…

You wish to test the following claim (Ha) at a significance level of a = 0.01. H.: µ = 68.6 Ha: u + 68.6 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 503 with mean M = 64.9 and a standard deviation of SD = 19.6. 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 O greater than a This test statistic leads to a decision to... O reject the null O 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 68.6. O There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 68.6. O The sample data support the claim that the population mean is not equal to 68.6. O There is not sufficient sample evidence to support the claim that the population mean is not equal to 68.6.

You wish to test the following claim (Ha) at a significance level of a = 0.01. H.: µ = 68.6 Ha: u + 68.6 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 503 with mean M = 64.9 and a standard deviation of SD = 19.6. 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 O greater than a This test statistic leads to a decision to... O reject the null O 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 68.6. O There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 68.6. O The sample data support the claim that the population mean is not equal to 68.6. O There is not sufficient sample evidence to support the claim that the population mean is not equal to 68.6.

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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