### Hypothesis Testing with Standard Normal Distribution#### Standard Normal DistributionFollow the steps below to conduct a hypothesis test using the standard normal distribution.**Step 1:** Select one-tailed or two-tailed test.- [ ] One-tailed- [ ] Two-tailed**Step 2:** Enter the test statistic.- (Round to three decimal places.) [ ________ ]**Step 3:** Shade the area represented by the p-value. ![Shading area](image-placeholder)**Step 4:** Enter the p-value.- (Round to three decimal places.) [ ________ ]![Standard Normal Distribution Graph](image-placeholder)The graph shown represents the standard normal distribution (bell curve). The x-axis represents the z-scores, ranging from roughly -3 to 3. The y-axis represents the probability density with values up to 0.4. The highest peak of the curve, which indicates the mean of the distribution, is located at the center (z = 0). The curve is symmetric around the mean.**Note:** Click 'Continue' to move to the next step after filling in the required information. **Performing a Hypothesis Test**Suppose there is a claim that a certain population has a mean, μ, that is equal to 5. You want to test this claim. To do so, you collect a large random sample from the population and perform a hypothesis test at the 0.10 level of significance. To start this test, you write the null hypothesis, \( H_0 \), and the alternative hypothesis, \( H_1 \), as follows:\[ H_0: \mu = 5 \]\[ H_1: \mu \neq 5 \]Suppose you also know the following information:- The value of the test statistic based on the sample is \(-1.873\) (rounded to 3 decimal places).- The p-value is \(0.061\) (rounded to 3 decimal places).**Task (a): Complete the steps below for this hypothesis test.****Step 1: Select one-tailed or two-tailed.**- One-tailed- Two-tailed (Selected)**Standard Normal Distribution Graph Explanation:**The graph shown is of a standard normal distribution (bell curve). It typically includes:- A horizontal axis that represents the z-scores.- A vertical axis that represents the probability density.- The area under the curve is divided symmetrically because it's a two-tailed test. In this context, since the test is two-tailed, the critical regions are on both extremes of the distribution curve, corresponding to the 0.10 level of significance (0.05 in each tail).Once the desired tail selection is made, you can proceed by clicking the "Continue" button to further steps in the hypothesis testing process.Make sure to follow the hypothesis testing procedure rigorously to determine if the null hypothesis \( H_0 \) should be rejected or not based on the p-value and the specified significance level.

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Given information- Hypothesis Null Hypothesis: Ho: µ = 5 Alternative Hypothesis: H1: µ ≠ 5 We have…

Math

Statistics

Suppose there is a claim that a certain population has a mean, u, that is equal to 5. You want to test this claim. To do so, you collect a large random sample from the population and perform a hypothesis test at the 0.10 level of significance. To start this test, you write the null hypothesis, H, and the alternative hypothesis, H,, as follows. Ho: H= 5 H: u #5 Suppose you also know the following information. The value of the test statistic based on the sample is -1.873 (rounded to 3 decimal places). The p-value is 0.061 (rounded to 3 decimal places). (a) Complete the steps below for this hypothesis test.

Suppose there is a claim that a certain population has a mean, u, that is equal to 5. You want to test this claim. To do so, you collect a large random sample from the population and perform a hypothesis test at the 0.10 level of significance. To start this test, you write the null hypothesis, H, and the alternative hypothesis, H,, as follows. Ho: H= 5 H: u #5 Suppose you also know the following information. The value of the test statistic based on the sample is -1.873 (rounded to 3 decimal places). The p-value is 0.061 (rounded to 3 decimal places). (a) Complete the steps below for this hypothesis test.

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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Hi I was wondering how I could solve this
Suppose there is a claim that a certain population has a mean, H, that is different than 5. You want to test this claim. To do so, you collect a large random sample from the population and perform a hypothesis test at the 0.10 level of significance. To start this test, you write the null hypothesis, Ho, and the alternative hypothesis, H1, as follows. Hg: u= 5 H1: u=5 Suppose you also know the following information. The value of the test statistic based on the sample is 1.506 (rounded to 3 decimal places). The p-value is 0.132 (rounded to 3 decimal places). (a) Complete the steps below for this hypothesis test. Standard Normal Distribution 04 Step 1: Select one-tailed or two-tailed. O One-tailed O Two-tailed 0.3+ Step 2: Enter the test statistic. (Round to 3 decimal places.) 0.2 Step 3: Shade the area represented by the p-value. 0.1+ Step 4: Enter the p-value. (Round to 3 decimal places.) ? (b) Based on your answer to part (a), which statement below is true? Since the p-value is less…
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