You wish to test the following claim (Ha) at a significance level of a = 0.10.Ho:μ = 76.3Ha: μ < 76.3You believe the population is normally distributed, but you do not know the standard deviation. You obtain asample of size n = 72 with a mean of M = 72.5 and a standard deviation of SD = 8.7.What is the critical value for this test? Use the TI-84 or online t or z-score calculator. (Round to three decimalplaces.)Critical value=What is the test statist: for this sample? (Round to three decimal places.)Test statistic =The test statistic is...in the critical regionnot in the critical regionThis test statistic leads to a decision to...reject the nullfail to reject the nullAs such, the final conclusion is that...(Watch the video below for help with the conclusion.)The sample data support the claim that the population mean is less than 76.3.There is not sufficient sample evidence to support the claim that the population mean is less than 76.3.

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Answered: You wish to test the following claim…

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 (Ha) at a significance level of a = 0.005. Ho: μ = 74.6 Ha: μ < 74.6 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 34 with mean M 72.9 and a standard deviation of SD = 13.9. 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 Ogreater than a This test statistic leads to a decision to... Oreject the null o accept the null o 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 74.6. There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 74.6. The sample data support the claim that the population mean is less than…
You wish to test the following claim (HaHa) at a significance level of 0.10. Ho:μ=80.1Ho:μ=80.1 Ha:μ<80.1Ha:μ<80.1 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=11n=11 with mean M=70.3M=70.3 and a standard deviation of SD=7.7SD=7.7. The test statistic is -4.221 What is the p-value for this sample?
You wish to test the following claim (H.) at a significance level of a = 0.01. H.:µ = 75.8 Ha:µ > 75.8 You believe the population is normally distributed, but you do not know the standard deviation. Your sample has: size: n = 73 mean: M = 77.2 standard deviation: SD = 8.5. What is the test statistic for this sample? (Round the answer accurate to 3 decimal places.) test statistic: t = What is the P.value for this sample? (Round the answer accurate to 3 decimal places.) P-value = The P-value is... O less than (or equal to) a O greater than a This leads to a decision to... O reject the null O accept the null O fail to reject the null So, the final conclusion is that... O The data do not support the claim of the alternative hypothesis that the population mean is greater than 75.8. O The sample data support the claim of the alternative hypothesis that the population mean is greater than 75.8.
You wish to test the following claim (Ha) at a significance level of a = 0.001. H.:µ = 70.7 Ha:H # 70.7 You believe the population is normally distributed and you know the standard deviation is o = 7.1. You obtain a sample mean of M = 74.7 for a sample of size n = 35. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = %3D What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = %3D
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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