To determine if his teaching method increases students’ learning, a professor administers a pretest to his class at the beginning of the semester and then a posttest at the end of the semester. The results from 10 randomly chosen students are given below. Let Population 1 be the Pretest scores and Population 2 be the Posttest scores. Test ScoresPretestPosttest7355815399929184897388889181959784737880 Step 1 of 2 : Construct a 90% confidence interval for the true mean difference between the scores to determine if the teaching method increases students’ knowledge of the course material. Round the endpoints of the interval to one decimal place, if necessary. please highlight the answer

Given data : Pretest Posttest 73 55 81 53 99 92 91 84 89 73 88 88 91 81 95 97…

Answered: To determine if his teaching method…

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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To determine if his teaching method increases students’ learning, a professor administers a pretest to his class at the beginning of the semester and then a posttest at the end of the semester. The results from 10 randomly chosen students are given below. Let Population 1 be the Pretest scores and Population 2 be the Posttest scores.

Test Scores

Pretest	Posttest
73	55
81	53
99	92
91	84
89	73
88	88
91	81
95	97
84	73
78	80

Step 1 of 2 : Construct a 90% confidence interval for the true mean difference between the scores to determine if the teaching method increases students’ knowledge of the course material. Round the endpoints of the interval to one decimal place, if necessary.

please highlight the answer

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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