## Independent Samples t-Test### Problem StatementYou wish to test the following claim ( \(H_a\) ) at a significance level of \( \alpha = 0.002 \).\[\begin{aligned}H_0: \mu &= 84.8 \\H_a: \mu &> 84.8 \\\end{aligned}\]### Given Data- Population standard deviation, \(\sigma = 15.7\)- Sample mean, \(M = 88.9\)- Sample size, \(n = 42\)### Hypothesis TestYou believe the population is normally distributed and you know the standard deviation. The goal is to determine the critical value and test statistic for this sample.### Calculations**Finding the Critical Value:**- Significance level (\( \alpha \) ) = 0.002- Critical value (accurate to three decimal places): \[\text{critical value} = 3.050 \quad (\text{incorrect})\]**Finding the Test Statistic:**- Given the sample mean (\( M \) ), population mean (\( \mu \) ), population standard deviation (\( \sigma \) ), and sample size (\( n \) ):- Test statistic (accurate to three decimal places): \[\text{test statistic} = 1.692 \quad (\text{correct})\]

Name: ## Independent Samples t-Test### Problem StatementYou wish to test th
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Description: ## Independent Samples t-Test### Problem StatementYou wish to test the following claim ( \(H_a\) ) at a significance level of \( \alpha = 0.002 \).\[\begin{aligned}H_0: \mu &= 84.8 \\H_a: \mu &> 84.8 \\\end{aligned}\]### Given Data- Population stand

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Statistics

You wish to test the following claim (Ha) at a significance level of a = 0.002. H.:µ = 84.8 На: и> 84.8 You believe the population is normally distributed and you 15.7. You obtain a know the standard deviation is o = sample mean of M 88.9 for a sample of size n = 42. What is the critical value for this test? (Report answer accurate to three decimal places.) critical value =|3.050 X %3D What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic =| 1.692 v o

You wish to test the following claim (Ha) at a significance level of a = 0.002. H.:µ = 84.8 На: и> 84.8 You believe the population is normally distributed and you 15.7. You obtain a know the standard deviation is o = sample mean of M 88.9 for a sample of size n = 42. What is the critical value for this test? (Report answer accurate to three decimal places.) critical value =|3.050 X %3D What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic =| 1.692 v o

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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