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Part 3: 3) Identify the critical value. If there are multiple critical values, separate them using commas. If using z, round to 2 decimals; if using t, round to 3 decimals.

Part 3: 3) Identify the critical value. If there are multiple critical values, separate them using commas. If using z, round to 2 decimals; if using t, round to 3 decimals.

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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answer part 3

**Hypothesis Testing Setup** 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?** - \( \circ \) \( z \) - \( \bullet \) \( t \) ✓ **Part 2:** 2) **Choose the correct critical region.** - \( \circ \) Reject \( H_0 \) if \( t > t_{\alpha} \) - \( \circ \) Reject \( H_0 \) if \( t \geq t_{\alpha} \) - \( \circ \) Reject \( H_0 \) if \( t > t_{\alpha/2} \) - \( \circ \) Reject \( H_0 \) if \( t \geq t_{\alpha/2} \) - \( \bullet \) Reject \( H_0 \) if \( t < -t_{\alpha} \) ✓ - \( \circ \) Reject \( H_0 \) if \( t \leq -t_{\alpha} \) - \( \circ \) Reject \( H_0 \) if \( t < -t_{\alpha/2} \) - \( \circ \) Reject \( H_0 \) if \( t \leq -t_{\alpha/2} \) - \( \circ \) Reject \( H_0 \) if \( t < -t_{\alpha} \) or \( t > t_{\alpha} \) - \( \circ \) Reject \( H_0 \) if \( t \leq -t_{\alpha} \) or \( t \geq t_{\alpha} \) - \( \circ \) Reject \( H_0 \) if \( t < -t_{\alpha/2} \) or \( t > t_{\alpha/2} \) - \( \circ \) Reject \( H_0 \) if \( t \leq -t_{\alpha/2} \) or \( t
Transcribed Image Text:**Hypothesis Testing Setup** 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?** - \( \circ \) \( z \) - \( \bullet \) \( t \) ✓ **Part 2:** 2) **Choose the correct critical region.** - \( \circ \) Reject \( H_0 \) if \( t > t_{\alpha} \) - \( \circ \) Reject \( H_0 \) if \( t \geq t_{\alpha} \) - \( \circ \) Reject \( H_0 \) if \( t > t_{\alpha/2} \) - \( \circ \) Reject \( H_0 \) if \( t \geq t_{\alpha/2} \) - \( \bullet \) Reject \( H_0 \) if \( t < -t_{\alpha} \) ✓ - \( \circ \) Reject \( H_0 \) if \( t \leq -t_{\alpha} \) - \( \circ \) Reject \( H_0 \) if \( t < -t_{\alpha/2} \) - \( \circ \) Reject \( H_0 \) if \( t \leq -t_{\alpha/2} \) - \( \circ \) Reject \( H_0 \) if \( t < -t_{\alpha} \) or \( t > t_{\alpha} \) - \( \circ \) Reject \( H_0 \) if \( t \leq -t_{\alpha} \) or \( t \geq t_{\alpha} \) - \( \circ \) Reject \( H_0 \) if \( t < -t_{\alpha/2} \) or \( t > t_{\alpha/2} \) - \( \circ \) Reject \( H_0 \) if \( t \leq -t_{\alpha/2} \) or \( t
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