**Problem Statement:**A simple random sample of size \( n = 40 \) is drawn from a population. The sample mean is found to be 108.6, and the sample standard deviation is found to be 19.6. Is the population mean greater than 100 at the \( \alpha = 0.01 \) level of significance?**Steps to solve the problem:**1. **Determine the null and alternative hypotheses.** - Null Hypothesis \( (H_0) \): \( \mu = 100 \) - Alternative Hypothesis \( (H_1) \): \( \mu > 100 \)2. **Compute the test statistic.** \[ t_0 = 2.78 \text{ (Round to two decimal places as needed.)} \]3. **Determine the P-value.** \[ \text{The P-value is } 0.004. \text{ (Round to three decimal places as needed.)} \]4. **Test Results:** - Reject or fail to reject the null hypothesis and explain why: - Reject the null hypothesis because the P-value is less than the level of significance. - Conclusion at \( \alpha = 0.01 \) level of significance: - At the \( \alpha = 0.01 \) level of significance, the population mean is greater than 100.

A simple random sample of size n = 40 is drawn from a population. The sample mean is found to be 108.6, and the sample standard deviation is found to be 19.6. Is the population mean greater than 100 at the x = 0.01 level of significance? Determine the null and alternative hypotheses. Ho: μ = 100 H₁: μ> 100 tatatinti

A simple random sample of size n = 40 is drawn from a population. The sample mean is found to be 108.6, and the sample standard deviation is found to be 19.6. Is the population mean greater than 100 at the x = 0.01 level of significance? Determine the null and alternative hypotheses. Ho: μ = 100 H₁: μ> 100 tatatinti

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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