**Question 3:** Which of the following could be an appropriate one-tailed (directional) null hypothesis for a statistical test about the mean monthly rent for a studio in San Francisco:a. $ H_0: \mu \geq \$3200 $b. $ H_0: X = \$3200 $c. $ H_0: X \neq \$3200 $d. $ H_0: \mu = \$3200 $e. Correct answer choice not provided**Explanation:** In this question, we are trying to identify a suitable directional null hypothesis. A one-tailed test focuses on determining if a parameter is either greater than or less than a certain value, but not both. Use $\mu$ to represent the population mean in your hypothesis. **Understanding Z-Scores and Critical Values in Hypothesis Testing**This educational resource provides insights into using the Standard Normal Distribution for hypothesis testing. Included are visualizations and values pertinent to one-tailed and two-tailed tests.---**Graphs of Critical Regions**1. **One-tailed (left) test graph:** - A bell curve highlighting the area to the left of the critical region. - Illustrates where a test statistic would reject the null hypothesis in a left-tailed test. 2. **One-tailed (right) test graph:** - A bell curve highlighting the area to the right of the critical region. - Illustrates where a test statistic would reject the null hypothesis in a right-tailed test.3. **Two-tailed test graph:** - A bell curve highlighting both tails of the critical regions. - Indicates rejection areas for a test statistic in a two-tailed test.**Critical Values for Different α Levels:**- **α = 0.05** - One-tailed: $ z = ±1.64 $ - Two-tailed: $ z = ±1.96 $- **α = 0.01** - One-tailed: $ z = ±2.33 $ - Two-tailed: $ z = ±2.57 $- **α = 0.001** - One-tailed: $ z = ±3.08 $ - Two-tailed: $ z = ±3.32 $These critical values are selected based on common significance levels (α), indicating how extreme the data must be to reject the null hypothesis.---**Standard Normal Table**The Standard Normal Table shows the cumulative probabilities associated with the standard normal distribution (z-distribution). The table provides the probability that a normally distributed random variable will have a value less than or equal to a given z-score.**How to Use the Table:**- Locate the z-score by finding the intersection of the row and column that correspond to the integer and first decimal place of the z-score.- For example, a z-score of 1.23 would correspond to the value found at the intersection of row 1.2 and column 0.03.This table is essential for converting z-scores into probabilities or percentile ranks within a standard normal distribution. It is a fundamental tool in statistics for hypothesis testing and confidence interval construction.

Answered: 3. Which of the following could be an…

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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3. Which of the following could be an appropriate one-tailed (directional) null hypothesis for a statistical test about the mean monthly rent for a studio in San Francisco: a. Ho: u > $3200 b. Ho: X = $3200 c. Ho: X+ $3200 d. Ho: µ = $3200 e. Correct answer choice not provided