= 0.05.You wish to test the following claim (Ha) at a significance level of aH.:µ = 82.3Ha:µ > 82.3You believe the population is normally distributed, but you do not know the standard deviation. Youobtain a sample of size n = 105 with mean M = 83.7 and a standard deviation of SD = 10.8.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) agreater than aThis test statistic leads to a decision to...reject the nullaccept the nullfail to reject the nullAs such, the final conclusion is that...OThere is sufficient evidence to warrant rejection of the claim that the population mean isgreater than 82.3.OThere is not sufficient evidence to warrant rejection of the claim that the population meanis greater than 82.3.The sample data support the claim that the population mean is greater than 82.3.There is not sufficient sample evidence to support the claim that the population mean isgreater than 82.3.

The test statistic is obtained as follows:

Answered: = 0.05. You wish to test the following…

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 = 0.002. Ha:µ < 78.6 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 19 with mean = 70.4 and a standard deviation of s = 19.8. What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is. Oless than (or equal to) a Ogreater than a This p-value leads to a decision to. Oreject the null Oaccept the null Ofail to reject the nul As such, the final conclusion is that. OThere is sufficient evidence to warrant rejection of the claim tha: the population mean is less than 78.6. O There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 78.6. OThe sample data support the claim that the population mean is less than 78.6. OThere is not sufficient sample evidence to support the claim that the population mean is less than 78.6.
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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