### Statistical Hypothesis Testing ExampleIn this example, we have the following situation:- **Null Hypothesis (H₀):** $ \mu_1 - \mu_2 = 0 $- **Alternative Hypothesis (Hₐ):** $ \mu_1 - \mu_2 \neq 0 $- **Significance Level (α):** 0.05- **Sample Size 1 (n₁):** 58- **Sample Size 2 (n₂):** 84The question being asked is:**What critical value forms the rejection region?**The possible answers are:- $ \text{t} = -1.960, \text{t} = 1.960 $- $ \text{t} = 1.960 $- $ \text{z} = -1.960, \text{z} = 1.960 $- $ \text{z} = -1.960 $To determine the correct critical value, consider whether a Z-test or a T-test is appropriate given the context of the problem and the sample sizes. The rejection region is determined based on the selected test and the significance level of 0.05 (which typically indicates a two-tailed test).

We have given that, H0 : μ1-μ2= 0 Ha: μ1-μ2 ≠ 0 Alpha= 0.05 n1= 58 n2= 84

We have this situation: Ho: H1 - 2 = 0 Ha: H1 - H2 # 0 a = 0.05 n = 58 n2 = 84 What critical value forms the rejection region? O t= -1.960, t 1.960 O t = 1.960 O z = -1.960, z = 1.960 %3D O z = -1.960

We have this situation: Ho: H1 - 2 = 0 Ha: H1 - H2 # 0 a = 0.05 n = 58 n2 = 84 What critical value forms the rejection region? O t= -1.960, t 1.960 O t = 1.960 O z = -1.960, z = 1.960 %3D O z = -1.960

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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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

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### Statistical Hypothesis Testing Example

In this example, we have the following situation:

- **Null Hypothesis (H₀):** $ \mu_1 - \mu_2 = 0 $
- **Alternative Hypothesis (Hₐ):** $ \mu_1 - \mu_2 \neq 0 $
- **Significance Level (α):** 0.05
- **Sample Size 1 (n₁):** 58
- **Sample Size 2 (n₂):** 84

The question being asked is:

**What critical value forms the rejection region?**

The possible answers are:

- $ \text{t} = -1.960, \text{t} = 1.960 $
- $ \text{t} = 1.960 $
- $ \text{z} = -1.960, \text{z} = 1.960 $
- $ \text{z} = -1.960 $

To determine the correct critical value, consider whether a Z-test or a T-test is appropriate given the context of the problem and the sample sizes. The rejection region is determined based on the selected test and the significance level of 0.05 (which typically indicates a two-tailed test).

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