**Hypothesis Testing Example**In this example, you are asked to test a statistical claim (denoted \( H_a \)) at a significance level of \( \alpha = 0.05 \).**Hypotheses:**- Null hypothesis (\( H_0 \)): \( \mu = 64.3 \)- Alternative hypothesis (\( H_a \)): \( \mu \neq 64.3 \)**Sample Details:**- The population is assumed to be normally distributed,- Standard deviation of the population is unknown,- Sample size (\( n \)) = 27,- Sample mean (\( M \)) = 63,- Sample standard deviation (\( SD \)) = 5.5.**Questions:**1. **Critical Value:** - Determine the critical value for this test with answers accurate to three decimal places.2. **Test Statistic:** - Calculate the test statistic for this sample with answers accurate to three decimal places.These calculations will help you determine whether to reject or fail to reject the null hypothesis, based on the sample information and statistical methodology (e.g., t-test for unknown population standard deviation).

Name: **Hypothesis Testing Example**In this example, you are asked to test
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Description: **Hypothesis Testing Example**In this example, you are asked to test a statistical claim (denoted \( H_a \)) at a significance level of \( \alpha = 0.05 \).**Hypotheses:**- Null hypothesis (\( H_0 \)): \( \mu = 64.3 \)- Alternative hypothesis (\( H_

Given: μ=64.3n=27Mean=x¯=63standard deviation=s=5.5α=0.05The test hypothesis are, H0: μ = 64.3 H1: μ ≠ 64.3 This is a two-tailed test. We reject the null hypothesis if t-value > t-critical value. The test statistic is given by, t=x¯-μsn =63-64.35.527 =-1.22818 The test statistic is -1.228. The t-critical value with ∝ = 0.05 and 26 (n-1) degrees of freedom is ±2.056.

Math

Statistics

You wish to test the following claim (H,) at a significance level of a = 0.05. %3| H.:µ = 64.3 Ha:µ + 64.3 а You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 27 with a mean of M = 63 and a standard deviation of SD = 5.5. What is the critical value for this test? (Report answer accurate to three decimal places.) critical value = ± What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic

You wish to test the following claim (H,) at a significance level of a = 0.05. %3| H.:µ = 64.3 Ha:µ + 64.3 а You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 27 with a mean of M = 63 and a standard deviation of SD = 5.5. What is the critical value for this test? (Report answer accurate to three decimal places.) critical value = ± What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic

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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