**Scratch Work (Not Graded)****Standard Normal Distribution**1. **Step 1:** Select one-tailed or two-tailed. - ○ One-tailed - ○ Two-tailed2. **Step 2:** Enter the critical value(s). (Round to 3 decimal places.) - [Input Box]3. **Step 3:** Enter the test statistic. (Round to 3 decimal places.) - [Input Box]**Graph Explanation:**The image includes a bell-shaped curve representing the standard normal distribution. The x-axis ranges from -3 to 3, and the y-axis is labeled with values such as 0.1, 0.2, 0.3, and 0.4. This symmetric curve is centered at zero, showing typical probability distribution in standard normal terms.Buttons at the bottom:- **Explanation**- **Check**In the upper right corner, there are buttons to close or reset the section. ### Hypothesis Testing with Standard Normal DistributionA researcher is conducting a **right-tailed hypothesis test**. The **test statistic** follows a **standard normal distribution**.### TaskAnswer parts (a) and (b) below using the provided scratch work tool. Your work in this area will not be graded.### Part (a)The researcher may choose a significance level (\(\alpha\)) of 0.01, 0.05, or 0.10 for the right-tailed test. For each potential level, find the critical value. Round your answers to three decimal places.- **Critical value at \(\alpha = 0.01\):** [ ]- **Critical value at \(\alpha = 0.05\):** [ ]- **Critical value at \(\alpha = 0.10\):** [ ]### Part (b)After selecting a significance level, the researcher takes a sample and finds that the test statistic is \(z = 1.549\). For which levels of significance would the null hypothesis **not** be rejected? Choose all that apply:- \(\alpha = 0.01\)- \(\alpha = 0.05\)- \(\alpha = 0.10\)- None of the above### Scratch Work (Not graded)**Standard Normal Distribution**1. **Step 1:** Select one-tailed or two-tailed. - One-tailed - Two-tailed2. **Step 2:** Enter the critical value(s). (Round to 3 decimal places.)**Graph Explanation:**A standard normal distribution curve is displayed, indicating a symmetric bell-shaped curve centered at zero. It is implied that critical values will correspond to areas under this curve beyond a given \(z\) value, according to the selected significance level for the right tail.

Answered: Image /qna-images/answer/a4f7429e-8ecf-4755-b87a-fe07cb79f6e3.jpg

Answered: A researcher is going to perform a…

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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