b) Find the mean and standard deviation of the difference. c) Find the rejection region and state your decision at α = 0.01. The following is used for questions 10 to 13 .A teacher proposes a course designed to increase reading speed (measured by wordsper minute). To evaluate the effectiveness of this course, the teacher tests studentsbefore and after the course. The result is following:Student1234Speed before classSpeed after class167169 210100160120200136 170135Assume that the reading speeds are approximately normally distributed.Let ua be the mean difference between two populations (i.e., Ad = Mbe fore Mafter). 10. Is the course effective to improve the reading speed? Choose the appropriate hy-potheses to test the claim.(a) Ho : id = 0 versus H. : d #0(b) H : d0 versus H, :d > 0(c) Ho : Hd = 0 versus Ha : fid > 0(d) Ho : Abd == 0 versus Ha : fid < 0.(e) H, : d = 0 versus H.:d < 0.

From the provided information, Sample size (n) = 5 Level of significance (α) = 0.01

Answered: The following is used for questions 10…

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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Question

b) Find the mean and standard deviation of the difference.

c) Find the rejection region and state your decision at α = 0.01.

The following is used for questions 10 to 13 .
A teacher proposes a course designed to increase reading speed (measured by words
per minute). To evaluate the effectiveness of this course, the teacher tests students
before and after the course. The result is following:
Student
1
2
3
4
Speed before class
Speed after class
167
169 210
100
160
120
200
136 170
135
Assume that the reading speeds are approximately normally distributed.
Let ua be the mean difference between two populations (i.e., Ad = Mbe fore Mafter).

10. Is the course effective to improve the reading speed? Choose the appropriate hy-
potheses to test the claim.
(a) Ho : id = 0 versus H. : d #0
(b) H : d
0 versus H, :d > 0
(c) Ho : Hd = 0 versus Ha : fid > 0
(d) Ho : Abd == 0 versus Ha : fid < 0.
(e) H, : d = 0 versus H.:
d < 0.

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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