**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

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Professor Nord stated that the mean score on the final exam from all the years he has been teaching is a 79%. Colby was in his most recent class, and his class’s mean score on the final exam was 82%. Colby decided to run a hypothesis test to determine if the mean score of his class was significantly greater than the mean score of the population. α = .01. What is the mean score of the population? What is the mean score of the sample? Is this test one-tailed or two-tailed? Why?
Consider the following difference-in-differences estimator for the effect of a newgarbage incinerator on housing values. Rumor of a new incinerator being built in a townin Massachusetts began after 1978, and construction began in 1981. You have data onprices of houses that sold in 1978, and another sample of those that sold in 1981. Youdefine a dummy variable (y81) as equal to 1 if the house sold in 1981, and zero if thehouse sold in 1978. Your hypothesis is that the price of houses located near theincinerator will fall across those years relative to the price of more distant houses. Youdefine a house as being near the incinerator (nearinc) if it is within 3 miles of it. Housingprice (price) is measured in real terms, in 1978 dollars. You estimate the followingregression (standard errors are in parentheses): price = 82,517.23 + 18,790.29y81 -18,824.37nearinc (2,726.91) (4,050.07) (4,875.32) -11,863.90(y81 * nearinc) (7,456.65) n=321 Interpret the coeffiecient…
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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