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be -2.8. Determine the P-value for the test.

be -2.8. Determine the P-value for the test.

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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--- ### Hypothesis Testing for Population Mean In a left-tailed hypothesis test for a population mean where the population standard deviation is known, the test statistic for a random sample of size 79 was calculated to be -2.8. Determine the P-value for the test. --- This scenario presents a classic case in hypothesis testing. Given the test statistic of -2.8 and a sample size of 79, we aim to find the associated P-value for this left-tailed hypothesis test. This signifies the probability of observing a test statistic as extreme as -2.8, assuming the null hypothesis is true. ### Steps to Determine the P-value: 1. **Identify the Test Statistic**: \( z = -2.8 \) 2. **Locate the Test Statistic in the Z-table**: Utilize a standard normal distribution table to find the cumulative probability for \( z = -2.8 \). 3. **Interpret the P-value**: For a left-tailed test, the P-value is the cumulative probability associated with the test statistic. For further understanding, you might refer to standard Z-tables used in statistical analysis to confirm and validate the P-value obtained.
Transcribed Image Text:--- ### Hypothesis Testing for Population Mean In a left-tailed hypothesis test for a population mean where the population standard deviation is known, the test statistic for a random sample of size 79 was calculated to be -2.8. Determine the P-value for the test. --- This scenario presents a classic case in hypothesis testing. Given the test statistic of -2.8 and a sample size of 79, we aim to find the associated P-value for this left-tailed hypothesis test. This signifies the probability of observing a test statistic as extreme as -2.8, assuming the null hypothesis is true. ### Steps to Determine the P-value: 1. **Identify the Test Statistic**: \( z = -2.8 \) 2. **Locate the Test Statistic in the Z-table**: Utilize a standard normal distribution table to find the cumulative probability for \( z = -2.8 \). 3. **Interpret the P-value**: For a left-tailed test, the P-value is the cumulative probability associated with the test statistic. For further understanding, you might refer to standard Z-tables used in statistical analysis to confirm and validate the P-value obtained.
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