1. A random sample of male college students who had tried out for the varsity basketball team yielded the following height scores, inches: 68, 72, 76, 70, 69, 73, 74, 70, 78, 70. If the population for adult males yields a parameter mean of 69, could this sample be representative of the known population? 2. In an attempt to test for the horizontal-vertical illusion (where the vertical line should be perceived as being longer than a horizontal line of equal length), a random sample of college freshmen was selected and asked to judge the length of a vertical line (line b) after having been told that the width of the horizontal line (line a) was 5 inches. The estimates (in inches) were as follows: 7, 7, 9, 6, 7, 7, 8, 6, 6. Tess the hypothesis at the .05 level that the illusion occurred. 1. A random sample of male college students who had tried out for the varsity basketball team yielded thefollowing height scores, inches: 68, 72, 76, 70, 69, 73, 74, 70, 78, 70. If the population for adult malesyields a parameter mean of 69, could this sample be representative of the known population?2. In an attempt to test for the horizontal-vertical illusion (where the vertical line should be perceived asbeing longer than a horizontal line of equal length), a random sample of college freshmen was selectedand asked to judge the length of a vertical line (line b) after having been told that the width of thehorizontal line (line a) was 5 inches. The estimates (in inches) were as follows: 7, 7, 9, 6, 7, 7, 8, 6, 6.Tess the hypothesis at the .05 level that the illusion occurred.bHorizontal-Vertical Illusiona

Problem 1:Step 1: State the hypothesis We want to test the following hypotheses:H0:μ=69Ha:μ=69…

Answered: 1. A random sample of male college…

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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1. A random sample of male college students who had tried out for the varsity basketball team yielded the following height scores, inches: 68, 72, 76, 70, 69, 73, 74, 70, 78, 70. If the population for adult males yields a parameter mean of 69, could this sample be representative of the known population?

2. In an attempt to test for the horizontal-vertical illusion (where the vertical line should be perceived as being longer than a horizontal line of equal length), a random sample of college freshmen was selected and asked to judge the length of a vertical line (line b) after having been told that the width of the horizontal line (line a) was 5 inches. The estimates (in inches) were as follows: 7, 7, 9, 6, 7, 7, 8, 6, 6. Tess the hypothesis at the .05 level that the illusion occurred.

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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