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Z-Test Z-Test Inpt: Data Stats μ # 60 Ho 60 0:4.25 x:58.75 n 40 > Ho μμo Calculate Draw z = -1.86016333 p = 0.06286242 x = 58.75 n = 40

Z-Test Z-Test Inpt: Data Stats μ # 60 Ho 60 0:4.25 x:58.75 n 40 > Ho μμo Calculate Draw z = -1.86016333 p = 0.06286242 x = 58.75 n = 40

MATLAB: An Introduction with Applications
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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**Z-Test Analysis** **Input Data:** - Null Hypothesis Mean (\( \mu_0 \)): 60 - Standard Deviation (\( \sigma \)): 4.25 - Sample Mean (\( \bar{x} \)): 58.75 - Sample Size (\( n \)): 40 **Hypothesis:** - Alternative Hypothesis: \( \mu \neq 60 \) **Test Results:** - Z-Score (\( z \)): -1.86016333 - P-Value (\( p \)): 0.06286242 - Sample Mean (\( \bar{x} \)): 58.75 - Sample Size (\( n \)): 40 **Interpretation:** This setup involves conducting a Z-Test to determine if the true population mean (\( \mu \)) differs from the hypothesized mean of 60. The calculated Z-score is -1.86, with a p-value of approximately 0.0629. Since the p-value is greater than the common significance level of 0.05, we fail to reject the null hypothesis, implying insufficient evidence to conclude that the population mean differs from 60.
Transcribed Image Text:**Z-Test Analysis** **Input Data:** - Null Hypothesis Mean (\( \mu_0 \)): 60 - Standard Deviation (\( \sigma \)): 4.25 - Sample Mean (\( \bar{x} \)): 58.75 - Sample Size (\( n \)): 40 **Hypothesis:** - Alternative Hypothesis: \( \mu \neq 60 \) **Test Results:** - Z-Score (\( z \)): -1.86016333 - P-Value (\( p \)): 0.06286242 - Sample Mean (\( \bar{x} \)): 58.75 - Sample Size (\( n \)): 40 **Interpretation:** This setup involves conducting a Z-Test to determine if the true population mean (\( \mu \)) differs from the hypothesized mean of 60. The calculated Z-score is -1.86, with a p-value of approximately 0.0629. Since the p-value is greater than the common significance level of 0.05, we fail to reject the null hypothesis, implying insufficient evidence to conclude that the population mean differs from 60.
**Instructions for Hypothesis Testing Decision** Use the calculator displays to the right to make a decision to reject or fail to reject the null hypothesis at a significance level of α = 0.05. **Choose the correct answer below:** - A. Since the P-value is greater than α, reject the null hypothesis. - B. Since the P-value is greater than α, fail to reject the null hypothesis. - C. Since the P-value is less than α, reject the null hypothesis. - D. Since the P-value is less than α, fail to reject the null hypothesis.
Transcribed Image Text:**Instructions for Hypothesis Testing Decision** Use the calculator displays to the right to make a decision to reject or fail to reject the null hypothesis at a significance level of α = 0.05. **Choose the correct answer below:** - A. Since the P-value is greater than α, reject the null hypothesis. - B. Since the P-value is greater than α, fail to reject the null hypothesis. - C. Since the P-value is less than α, reject the null hypothesis. - D. Since the P-value is less than α, fail to reject the null hypothesis.
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