### Hypothesis Testing with a t-TestTo test the claim about the population mean \( \mu \) at a given level of significance \( \alpha \) using the provided sample statistics, we start by considering the following:- **Claim**: \( \mu = 51,200 \)- **Significance Level**: \( \alpha = 0.01 \)- **Sample Statistics**: - Sample mean (\( \bar{x} \)): 50,985 - Standard deviation (\( s \)): 2300 - Sample size (\( n \)): 20Assume the population is normally distributed.#### Instructions1. **Use a t-test** to evaluate the claim.2. **Determine the null (\( H_0 \)) and alternative (\( H_a \)) hypotheses** from the options provided.#### Options for Hypotheses- **A**. \( H_0: \mu \leq 51,200 \) \( H_a: \mu > 51,200 \)- **B**. \( H_0: \mu = 51,200 \) \( H_a: \mu \neq 51,200 \)- **C**. \( H_0: \mu \neq 51,200 \) \( H_a: \mu = 51,200 \)- **D**. \( H_0: \mu \geq 51,200 \) \( H_a: \mu < 51,200 \)#### Additional Information- Click the icon to view the t-distribution table.Select the correct null and alternative hypotheses based on the context of the test and the claim stated.

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Description: ### Hypothesis Testing with a t-TestTo test the claim about the population mean \( \mu \) at a given level of significance \( \alpha \) using the provided sample statistics, we start by considering the following:- **Claim**: \( \mu = 51,200 \)- **Si

Solution: 2. State the hypotheses. Null hypothesis: Alternative hypothesis: Thus, the correct…

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Use a t-test to test the claim about the population mean p at the given level of significance a using the given sample statistics. Assume the population is normally distributed. Claim: µ= 51,200; a = 0.01 Sample statistics: x= 50,985, s= 2300, n=20 Click the icon to view the t-distribution table. What are the null and alternative hypotheses? Choose the correct answer below. O A. Ho us 51,200 H, p>51,200 O B. H, µ= 51,200 H, p#51,200 OC. H, u#51,200 H, p=51,200 O D. H, µ251,200 H, u<51,200

Use a t-test to test the claim about the population mean p at the given level of significance a using the given sample statistics. Assume the population is normally distributed. Claim: µ= 51,200; a = 0.01 Sample statistics: x= 50,985, s= 2300, n=20 Click the icon to view the t-distribution table. What are the null and alternative hypotheses? Choose the correct answer below. O A. Ho us 51,200 H, p>51,200 O B. H, µ= 51,200 H, p#51,200 OC. H, u#51,200 H, p=51,200 O D. H, µ251,200 H, u<51,200

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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