You wish to test the following claim \((H_a)\) at a significance level of \(\alpha = 0.01\).\[ H_0: \mu = 50.5 \]\[ H_a: \mu < 50.5 \]You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size \(n = 661\) with a mean \(\bar{x} = 49.2\) and a standard deviation of \(s = 9.2\).What is the test statistic for this sample? (Report answer accurate to three decimal places.)\[ \text{test statistic} = \_\_\_ \]What is the p-value for this sample? (Report answer accurate to four decimal places.)\[ \text{p-value} = \_\_\_ \]

Name: You wish to test the following claim \((H_a)\) at a significance leve
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Description: You wish to test the following claim \((H_a)\) at a significance level of \(\alpha = 0.01\).\[ H_0: \mu = 50.5 \]\[ H_a: \mu < 50.5 \]You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample

Ho: μ = 50.5Ha: μ < 50.5 It is left tailed test.x = 49.2 n = 661 s = 9.2 α = 0.01 Test of statistics : t = x - μsn = 49.2 - 50.59.2661= -1.30.35= -3.63 degree of freedom = n - 1 = 661 - 1 = 660 Critical value : t0.012,660 = 2.33 To calculate p-value p-value = p ( t >-3.71 ) p-value = 0.000153 = 0.0001 ( upto 4 decimal places ) α > p-value i.e 0.01 > 0.0001 so , it rejects the null hypothesis.

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You wish to test the following claim (H.) at a significance level of a = 0.01. H.: µ = 50.5 На: и < 50.5 a You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of 661 with mean size n = 49.2 and a standard deviation of s = 9.2. | 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 = %3D

You wish to test the following claim (H.) at a significance level of a = 0.01. H.: µ = 50.5 На: и < 50.5 a You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of 661 with mean size n = 49.2 and a standard deviation of s = 9.2. | 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 = %3D

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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