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To test Ho: o=2.4 versus H₁: o>2.4, a random sample of size n = 16 is obtained from a population that is known to be normally distributed. Complete parts (a) through (d). (***) (a) If the sample standard deviation is determined to be s = 2.2, compute the test statistic. x=(Round to three decimal places as needed.) A Clear all Check answer Help me solve this View an example Get more help 2 2:12 PM 608/20?? 96°F Mostly sunny

To test Ho: o=2.4 versus H₁: o>2.4, a random sample of size n = 16 is obtained from a population that is known to be normally distributed. Complete parts (a) through (d). (***) (a) If the sample standard deviation is determined to be s = 2.2, compute the test statistic. x=(Round to three decimal places as needed.) A Clear all Check answer Help me solve this View an example Get more help 2 2:12 PM 608/20?? 96°F Mostly sunny

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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### Statistical Hypothesis Testing Example To test \( H_0: \sigma = 2.4 \) versus \( H_1: \sigma > 2.4 \), a random sample of size n = 16 is obtained from a population that is known to be normally distributed. Complete parts (a) through (d). #### Part (a) **(a) If the sample standard deviation is determined to be \( s = 2.2 \), compute the test statistic.** The test statistic \( \chi^2_0 \) is calculated as: \[ \chi^2_0 = \frac{(n-1)s^2}{\sigma^2} \] Given: - Sample size, \( n = 16 \) - Sample standard deviation, \( s = 2.2 \) - Population standard deviation under the null hypothesis, \( \sigma = 2.4 \) So, the formula becomes: \[ \chi^2_0 = \frac{(16-1)(2.2)^2}{(2.4)^2} \] Compute the value of \( \chi^2_0 \) and round to three decimal places as needed. - Help me solve this - View an example - Get more help Clear all Check answer **Instructions:** Use the given data to compute the value. Be sure to use appropriate rounding and numerical computation techniques. --- *Note: The image does not contain any graphs or diagrams requiring explanation.*
Transcribed Image Text:### Statistical Hypothesis Testing Example To test \( H_0: \sigma = 2.4 \) versus \( H_1: \sigma > 2.4 \), a random sample of size n = 16 is obtained from a population that is known to be normally distributed. Complete parts (a) through (d). #### Part (a) **(a) If the sample standard deviation is determined to be \( s = 2.2 \), compute the test statistic.** The test statistic \( \chi^2_0 \) is calculated as: \[ \chi^2_0 = \frac{(n-1)s^2}{\sigma^2} \] Given: - Sample size, \( n = 16 \) - Sample standard deviation, \( s = 2.2 \) - Population standard deviation under the null hypothesis, \( \sigma = 2.4 \) So, the formula becomes: \[ \chi^2_0 = \frac{(16-1)(2.2)^2}{(2.4)^2} \] Compute the value of \( \chi^2_0 \) and round to three decimal places as needed. - Help me solve this - View an example - Get more help Clear all Check answer **Instructions:** Use the given data to compute the value. Be sure to use appropriate rounding and numerical computation techniques. --- *Note: The image does not contain any graphs or diagrams requiring explanation.*
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