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Suppose you perform the hypothesis test Ho: u = 50 versus H1: u < 50. The population variance, o², is unknown. The sample size isn = 18. Assume the significance level is 0.1. Part 1: 1) Should you use z or t to find the critical value? Oz Ot Part 2 of 4 Part 2: 2) Choose the correct critical region. Reject Ho if t > ta Reject Ho if t < -tg O Reject Ho if t > ta Reject Ho if t < – ta O Reject Ho if t > ta Reject Ho if t < - ta or t > ta Reject Ho if t > to Reject Ho if t < – ta or t > ta O Reject Ho if t< -tg or t > ta O Reject Ho if t < – ta Reject Ho if t < – ta O Reject Ho if t < - tę or t > t;

Suppose you perform the hypothesis test Ho: u = 50 versus H1: u < 50. The population variance, o², is unknown. The sample size isn = 18. Assume the significance level is 0.1. Part 1: 1) Should you use z or t to find the critical value? Oz Ot Part 2 of 4 Part 2: 2) Choose the correct critical region. Reject Ho if t > ta Reject Ho if t < -tg O Reject Ho if t > ta Reject Ho if t < – ta O Reject Ho if t > ta Reject Ho if t < - ta or t > ta Reject Ho if t > to Reject Ho if t < – ta or t > ta O Reject Ho if t< -tg or t > ta O Reject Ho if t < – ta Reject Ho if t < – ta O Reject Ho if t < - tę or t > t;

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 Example Suppose you perform the hypothesis test \( H_0: \mu = 50 \) versus \( H_1: \mu < 50 \). The population variance, \( \sigma^2 \), is unknown. The sample size is \( n = 18 \). Assume the significance level is 0.1. #### Part 1: **1) Should you use \( z \) or \( t \) to find the critical value?** - \( \circ \) \( z \) - \( \bullet \) \( t \) (Selected) Since the population variance is unknown and the sample size is less than 30, the \( t \)-distribution is chosen. #### Part 2: **2) Choose the correct critical region.** - \( \circ \) Reject \( H_0 \) if \( t > t_{\alpha} \) - \( \circ \) Reject \( H_0 \) if \( t \ge t_{\alpha} \) - \( \circ \) Reject \( H_0 \) if \( t > t_{\alpha/2} \) - \( \circ \) Reject \( H_0 \) if \( t \ge t_{\alpha/2} \) - \( \circ \) Reject \( H_0 \) if \( t < -t_{\alpha} \) - \( \circ \) Reject \( H_0 \) if \( t \le -t_{\alpha} \) - \( \circ \) Reject \( H_0 \) if \( t < -t_{\alpha/2} \) - \( \circ \) Reject \( H_0 \) if \( t \le -t_{\alpha/2} \) - \( \circ \) Reject \( H_0 \) if \( t < -t_{\alpha} \) or \( t > t_{\alpha} \) - \( \circ \) Reject \( H_0 \) if \( t \le -t_{\alpha} \) or \( t \ge t_{\alpha} \) - \( \circ \) Reject \( H_0 \) if \( t < -t_{\alpha/2} \) or \( t > t_{\alpha/2} \) - \( \circ \) Reject \( H_0 \) if \( t \le -t_{\alpha/2} \) or \(
Transcribed Image Text:### Hypothesis Testing Example Suppose you perform the hypothesis test \( H_0: \mu = 50 \) versus \( H_1: \mu < 50 \). The population variance, \( \sigma^2 \), is unknown. The sample size is \( n = 18 \). Assume the significance level is 0.1. #### Part 1: **1) Should you use \( z \) or \( t \) to find the critical value?** - \( \circ \) \( z \) - \( \bullet \) \( t \) (Selected) Since the population variance is unknown and the sample size is less than 30, the \( t \)-distribution is chosen. #### Part 2: **2) Choose the correct critical region.** - \( \circ \) Reject \( H_0 \) if \( t > t_{\alpha} \) - \( \circ \) Reject \( H_0 \) if \( t \ge t_{\alpha} \) - \( \circ \) Reject \( H_0 \) if \( t > t_{\alpha/2} \) - \( \circ \) Reject \( H_0 \) if \( t \ge t_{\alpha/2} \) - \( \circ \) Reject \( H_0 \) if \( t < -t_{\alpha} \) - \( \circ \) Reject \( H_0 \) if \( t \le -t_{\alpha} \) - \( \circ \) Reject \( H_0 \) if \( t < -t_{\alpha/2} \) - \( \circ \) Reject \( H_0 \) if \( t \le -t_{\alpha/2} \) - \( \circ \) Reject \( H_0 \) if \( t < -t_{\alpha} \) or \( t > t_{\alpha} \) - \( \circ \) Reject \( H_0 \) if \( t \le -t_{\alpha} \) or \( t \ge t_{\alpha} \) - \( \circ \) Reject \( H_0 \) if \( t < -t_{\alpha/2} \) or \( t > t_{\alpha/2} \) - \( \circ \) Reject \( H_0 \) if \( t \le -t_{\alpha/2} \) or \(
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