Statistics Help A professor believes that his students' mean ACT scores are not lower than 30. He would like to collect evidence of his claim and do a statistical hypothesis testing. The data center director said that the ACT score of the students follows a normal distribution with variance of value 9.- (a) Write down the null (H₀) and alternative (H₁) hypotheses based on his claim. Is the claim a H₀ or H₁ claim? Is this a left-tailed, right-tailed, or two-tailed test? Please explain.- (b) Due to research budget cut, the professor’s assistant can only collect a small random sample of size 16. Are one-sample z-test and/or t-test procedures appropriate under such a small size? If yes, why? If not, add conditions to make the procedures appropriate.- (c) The assistant only remembers that the professor said 28.7 is the critical value to be compared with the observed sample mean x. Please help her decide the rejection region.

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Description: Statistics Help A professor believes that his students' mean ACT scores are not lower than 30. He would like to collect evidence of his claim and do a statistical hypothesis testing. The data center director said that the ACT score of the students fo

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Math

Statistics

han 30. He would like to colle atistical hypothesis testing. e ACT score of the students

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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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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Statistics Help

A professor believes that his students' mean ACT scores are not lower than 30. He would like to collect evidence of his claim and do a statistical hypothesis testing. The data center director said that the ACT score of the students follows a normal distribution with variance of value 9.

- (a) Write down the null (H₀) and alternative (H₁) hypotheses based on his claim. Is the claim a H₀ or H₁ claim? Is this a left-tailed, right-tailed, or two-tailed test? Please explain.

- (b) Due to research budget cut, the professor’s assistant can only collect a small random sample of size 16. Are one-sample z-test and/or t-test procedures appropriate under such a small size? If yes, why? If not, add conditions to make the procedures appropriate.

- (c) The assistant only remembers that the professor said 28.7 is the critical value to be compared with the observed sample mean x. Please help her decide the rejection region.

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