**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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Solve the following question please
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?
5. You have a sample of 19 students and plan to determine if a linear relationship can be used to predict the SAT score as a function of the high school GPA. What value does the correlation coefficient need to exceed, according to the r√n> 3 rule, in order for you to be able to say that the correlation between the SAT score and the high school GPA is significant, instead of it having occurred by random chance? Write your answer as a decimal correctly rounded to three decimal places.
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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1.A chi-square test for independence is being used to evaluate the relationship between two variables, one of which is classified into 3 categories and the second of which is classified into 4 categories. What is the df value for the chi-square statistic? Group of answer choices A.6 B.11 C.4 D.10
Which of the following statements is true of Group 1’s mean FIQ score? Group of answer choices: 1. Group 1’s mean FIQ score is not significantly different from Group 2’s mean FIQ score 2. Group 1’s mean FIQ score is significantly different from Group 2’s mean FIQ score 3. Group 1’s mean FIQ score is significantly higher than Group 2’s mean FIQ score 4. Group 1’s mean FIQ score is significantly lower than Group 2’s mean FIQ score 5. None of the above
Last year the mean cost u for a one-bedroom rental in a certain city was $1,200 per month. Eli is looking for a one-bedroom apartment and is investigating whether the mean cost is less now than what it was last year. A random sample of apartments had a sample mean c of $1,180 per month. Assuming all conditions for inference are met, Eli will conduct a hypothesis test as part of his investigation. Which of the following is the correct set of hypotheses? Subi Ho : H = 1,200 A Ha : µ > 1,200 Ho : H = 1,200 B H : µ < 1,200 Ho : T = 1,200 Ha : I < 1,200 Ho : = 1,180 H: 1,180 Ho : = 1,180 H: < 1,180
For the given scenario, determine the type of error that was made if any.(begin by determining the null and alternative hypothesis). A new whitening toothpaste advertises for shades as the mean number of shades the toothpaste whitens your teeth. One user claims that the mean number of shades the toothpaste whitens your teeth is different from four shades. The user conducts a hypothesis test and fails to reject the null hypothesis. Assume that in reality, the mean number of shades the two piece white is your teeth is for shade. Was an error made? If so, what type? A, B, C? A.Yes; type 2 error B.Yes; type 1 error C.No; correct decision
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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