Answered: Can he demonstrate that the TV legal…

Name: 6. Professor Moriarty is your instructor for Criminal Justice 101. He
Uploaded: 2024-03-20T07:07:12.000Z
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Description: 6. Professor Moriarty is your instructor for Criminal Justice 101. He has also been teaching a long time and always gives the same final exam. He happens to know that his final exam scores are normally distributed and have a population mean of µ=60 w

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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6. Professor Moriarty is your instructor for Criminal Justice 101. He has also been teaching a long time and always gives the same final exam. He happens to know that his final exam scores are normally distributed and have a population mean of µ=60 with a population standard deviation of σ=8.

Due to receiving poor teaching evaluations, he tried something new. He got a random sample of students and made them watch television legal dramas all semester instead of teaching them.

One group of n=25 students were made to watch 'How to Get Away with Murder' all semester. This sample of students got a mean of M=68 on the final exam.

Can he demonstrate that the TV legal drama method was significantly different from his traditional teaching method? (Assume a two-tailed test with α=.05)

		Yes, he can conclude that his TV legal drama method is significantly different from his traditional method. This is because the z-test equals 5.0 and is significant
		Yes, he cannot conclude that his TV legal drama method is significantly different from his traditional method. This is because the z-test equals 1.0 and is not significant
		No, he cannot conclude that his TV legal drama method is significantly different from his traditional method. This is because the z-test equals 5.0 and is not significant
		Yes, he can conclude that his TV legal drama method is significantly different from his traditional method. This is because the z-test equals 1.0 and is significant

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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