**Hypothesis Testing Example**Consider the following hypotheses:- \( H_0: \mu \geq 128 \)- \( H_A: \mu < 128 \)A sample of 75 observations results in a sample mean of 122. The population standard deviation is known to be 31. *(You may find it useful to reference the appropriate table: [z table](#) or [t table](#))***a-1. Calculate the value of the test statistic.** *(Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)*- **Test statistic** [Input Box]**a-2. Find the p-value.**- \( p\text{-value} < 0.01 \)- \( 0.01 \leq p\text{-value} < 0.025 \)- \( 0.025 \leq p\text{-value} < 0.05 \)- \( 0.05 \leq p\text{-value} < 0.10 \)- \( p\text{-value} \geq 0.10 \)*Please select the appropriate range for the p-value based on the calculated test statistic.* **b. Does the above sample evidence enable us to reject the null hypothesis at α = 0.10?**- ○ Yes since the *p*-value is less than the significance level.- ○ No since the *p*-value is greater than the significance level.- ○ No since the *p*-value is less than the significance level.- ○ Yes since the *p*-value is greater than the significance level.**c. Does the above sample evidence enable us to reject the null hypothesis at α = 0.01?**- ○ No since the *p*-value is greater than the significance level.- ○ No since the *p*-value is less than the significance level.- ○ Yes since the *p*-value is greater than the significance level.- ○ Yes since the *p*-value is less than the significance level.**d. Interpret the results at α = 0.01.**- ○ We cannot conclude that the population mean is less than 128.- ○ We conclude that the population mean is less than 128.- ○ We conclude that the population proportion differs from 128.- ○ We conclude that the population proportion equals 128.

Name: **Hypothesis Testing Example**Consider the following hypotheses:- \(
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Description: **Hypothesis Testing Example**Consider the following hypotheses:- \( H_0: \mu \geq 128 \)- \( H_A: \mu < 128 \)A sample of 75 observations results in a sample mean of 122. The population standard deviation is known to be 31. *(You may find it useful

Given information- Population mean, μ = 128 Sample size, n = 75 Sample mean, x-bar = 122 Population…

Math

Statistics

Consider the following hypotheses: Ho: μ Ε 128 HA: μ< 128 A sample of 75 observations results in a sample mean of 122. The population standard deviation is known to be 31. (You may find it useful to reference the appropriate table: z table or t table) a-1. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) Test statistic a-2. Find the p-value. O p-value < 0.01 O 0.01 s p-value < 0.025 O 0.025 s p-value < 0.05 O 0.05 s p-value < 0.10 O p-value 2 0.10

Consider the following hypotheses: Ho: μ Ε 128 HA: μ< 128 A sample of 75 observations results in a sample mean of 122. The population standard deviation is known to be 31. (You may find it useful to reference the appropriate table: z table or t table) a-1. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) Test statistic a-2. Find the p-value. O p-value < 0.01 O 0.01 s p-value < 0.025 O 0.025 s p-value < 0.05 O 0.05 s p-value < 0.10 O p-value 2 0.10

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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