Do we reject the null? ## T-Test for a Mean: Hypotheses, Calculation, and Interpretation### Hypotheses and Summary Sample Statistics:In this section, we are given the hypotheses and summary sample statistics for conducting a t-test for the mean. We assume that the conditions for the t-test are met and that the underlying distribution is approximately normal.The hypotheses are as follows:- Null Hypothesis (\(H_0\)): \(\mu = 100\)- Alternative Hypothesis (\(H_a\)): \(\mu > 100\)Given the sample statistics:- Sample mean (\(\bar{x}\)) = 108- Sample standard deviation (\(s\)) = 35.6- Sample size (\(n\)) = 20### Steps to Find the Test Statistic and p-value:1. **Calculate the t-test statistic**: The formula to calculate the t-test statistic is: \[ \text{test statistic} = t = \frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}}} \]2. **Calculate the p-value using the t-distribution**: Once the test statistic is calculated, the p-value can be found using the t-distribution table or computational tools to compare the test statistic with the distribution.### Task:- **Find the value of the t-test statistic and then use the t-distribution to find the p-value.**- **Round your answers to three decimal places.**### Calculation Setup:- **Test statistic**: \( t = \frac{108 - 100}{\frac{35.6}{\sqrt{20}}} \)- **p-value**: To be determined based on the t-distributionPlease complete the calculations and round your answers to three decimal places.

Name: Do we reject the null? ## T-Test for a Mean: Hypotheses, Calculation,
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Description: Do we reject the null? ## T-Test for a Mean: Hypotheses, Calculation, and Interpretation### Hypotheses and Summary Sample Statistics:In this section, we are given the hypotheses and summary sample statistics for conducting a t-test for the mean. We a

The test hypotheses are: Null hypothesis: H0: μ = 100. Alternative hypothesis: H1: μ > 100.

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Hypotheses and summary sample statistics are given for a test for a mean. Assume that the conditions are met and the underlyir distribution is approximately normal. Test Ho : µ = 100 vs Hạ : µ>100 when the sample has I = 108 with s = 35.6 and n = 20. Find the value of the t-test statistic and then use the t-distribution to find the p-value. Round your answers to three decimal places. test statistic = p-value =

Hypotheses and summary sample statistics are given for a test for a mean. Assume that the conditions are met and the underlyir distribution is approximately normal. Test Ho : µ = 100 vs Hạ : µ>100 when the sample has I = 108 with s = 35.6 and n = 20. Find the value of the t-test statistic and then use the t-distribution to find the p-value. Round your answers to three decimal places. test statistic = p-value =

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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