An article reported the results of a peer tutoring program to help children learn to read. In the experiment, Form 2 of the Gates-MacGintie Reading Test was administered to both an experimental group and a control group after 6 weeks of instruction, during which the experimental group received peer tutoring and the control group did not. For the experimental group n1 = 30 children, the mean score on the vocabulary portion of the test was x1 = 368.4, with sample standard deviation s1 = 39.3. The average score on the vocabulary portion of the test for the n2 = 30 subjects in the control group was x2 = 348.8 with sample standard deviation s2 = 56.2. (b) Find a 98% confidence interval for ?1 − ?2.(Round your answers to two decimal places.)

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Description: An article reported the results of a peer tutoring program to help children learn to read. In the experiment, Form 2 of the Gates-MacGintie Reading Test was administered to both an experimental group and a control group after 6 weeks of instruction,

In the question the values given are- n1=30, n2=30x1=368.4 , x2=348.8s1=39.3, s2=56.2At 98% level…

Answered: An article reported the results of a…

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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An article reported the results of a peer tutoring program to help children learn to read. In the experiment, Form 2 of the Gates-MacGintie Reading Test was administered to both an experimental group and a control group after 6 weeks of instruction, during which the experimental group received peer tutoring and the control group did not. For the experimental group n₁ = 30 children, the mean score on the vocabulary portion of the test was x₁ = 368.4, with sample standard deviation s₁ = 39.3. The average score on the vocabulary portion of the test for the n₂ = 30 subjects in the control group was x₂ = 348.8 with sample standard deviation s₂ = 56.2.

(b) Find a 98% confidence interval for ?₁ − ?₂.(Round your answers to two decimal places.)

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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