### Hypothesis TestingYou wish to test the following claim $(H_a)$ at a significance level of $\alpha = 0.05$.- $H_0: \mu = 55.6$- $H_a: \mu \neq 55.6$You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size $n = 14$ with mean $M = 58.4$ and a standard deviation of $SD = 11.6$.#### Questions:1. **What is the test statistic for this sample?** - (Report answer accurate to three decimal places.) - **Test statistic =** [ ]2. **What is the p-value for this sample?** - (Report answer accurate to four decimal places.) - **p-value =** [ ]3. **The p-value is...** - [ ] less than (or equal to) $\alpha$ - [ ] greater than $\alpha$This test statistic leads to a decision to...

Given, Sample size = 14 Sample mean = 58.4 Sample standard deviation = 11.6 Population mean = 55.6…

You wish to test the following claim (Ha) at a significance level of a = 0.05. H,:µ = 55.6 H:u 55.6 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 14 with mean M = 58.4 and a standard deviation of SD = 11.6. 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

You wish to test the following claim (Ha) at a significance level of a = 0.05. H,:µ = 55.6 H:u 55.6 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 14 with mean M = 58.4 and a standard deviation of SD = 11.6. 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

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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You wish to test the following claim (H1) at a significance level of α=0.002 Ho:μ=54.6 H1:μ≠54.6You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=9n=9 with a mean of ¯x=61.4x¯=61.4 and a standard deviation of SD=15.8SD=15.8.What is the critical value for this test? (Use TI84 and report answer accurate to four decimal places.)
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You wish to test the following claim (Ha) at a significance level of a = 0.002. Ho: μ = 55.6 H@μ < 55.6 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 38.7 63.5 49.1 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... Oreject 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 less than 55.6. There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 55.6. The sample data support the claim that the population mean is less than 55.6. There is not sufficient sample…
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You wish to test the following claim (Ha) at a significance level of α=0.02 Ho:μ=54.6 Ha:μ>54.6You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=87 with mean M=55.8and a standard deviation of SD=7.7What 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... A-less than (or equal to) αα B-greater than αα This test statistic leads to a decision to... A-reject the null B-accept the null C-fail to reject the null As such, the final conclusion is that... A-There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 54.6. B-There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 54.6. C-The sample data support the claim that the population…
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