**ACT Scores Analysis**A survey of 1,000 students nationwide showed a mean ACT score of 21.4. A survey of 500 Tennessee scores showed a mean of 21.3. If the population standard deviation in each case is 3, can we conclude the national average is greater than the Tennessee average? Use α = 0.10 and use μ₁ for the nationwide mean ACT score.**Explanation:**This text is part of a statistical hypothesis testing problem. The aim is to determine if there is a significant difference between the national average ACT score and the average ACT score from Tennessee. The parameters include:- Nationwide sample size: 1,000 students- Tennessee sample size: 500 students- National mean ACT score: 21.4- Tennessee mean ACT score: 21.3- Population standard deviation: 3- Significance level (α): 0.10To conduct this test, you would typically use a z-test for comparing means, given the population standard deviation is known and sample sizes are large.

Let x1 be the nationwide ACT score. and x2 be the Tennessee scores. Using the usual notation,…

Answered: ACT Scores A survey of 1000 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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For a certain type of job, it costs a copany an average of $231 to train an employee to perform the task. The standard deviation is $5. Find the minimum percentage of data values that will fall in the range of $219 to $243. Use Chebyshev's theorem.
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A large chemistry course took their final exam. The mean was 75 with a standard deviation of 8. c. What proportion of people scored in the A range (90 or above)?d. What proportion of people failed the exam (60 or below)?
Use z scores to compare the given values. In a recent awards ceremony, the age of the winner for best actor was 28 and the age of the winner for best actress was 44. For all best actors, the mean age is 42.3 years and the standard deviation is 8.4 years. For all best actresses, the mean age is 33.3 years and the standard deviation is 10.7 years. (All ages are determined at the time of the awards ceremony.) Relative to their genders, who had the more extreme age when winning the award, the actor or the actress? Explain. Since the z score for the actor is z = and the z score for the actress is z=, the had the more extreme age. (Round to two decimal places.)
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The mean score on the ACT test was 19.3 and the standard deviation was 5.4. The distributions of scores was approximately bell-shaped. Compute the z-score for an ACT test score of 15. Write only a number as your answer. Round your answer to two decimal places (for example: 3.15).
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the graduate record examinations are widely used to help predict the performance of applicants to graduate schools. the range of possible scores on a GRE is 200 to 900. the psychology department findsthat the scores of its applicants on the quantitative GRE are approximately normal with mean 544 and standard deviation 103 what interval is 95% of the data between? what percentage of students score more than 647? what percentage students score less than 544?

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