Use for questions 11-16 :To test the belief that sons are taller than their fathers, a student randomly selects 8 fathers who have adult male children. Both heights are recorded in inches and the data follows. Is there evidence to conclude that sons are taller than their fathers. Test at the 5% level of significance.FamilyFather's HeightSon's Height d = Father minus Son170.374.1 267.169.2 370.966.9 472.868.9 570.470.2 670.169.3 768.569.8 870.371.9 QUESTION 12What is d2; i.e., the difference for the 2nd family? USE 1 DECIMAL PLACE. QUESTION 13The mean of the differences is 0.0125. The standard deviation of the differences is 2.80277.Find the test statistic. ROUND TO 3 DECIMAL PLACES. QUESTION 14Assuming all assumptions/conditions are met, what distribution will be used to find the p-value? QUESTION 15What is the p-value? 3 decimal places. QUESTION 16What is your conclusion to this hypothesis test? CHECK ALL THAT APPLY. (4 choices should be checked!) Reject Ho Do Not Reject Ho Do not conclude there is a difference in average heights between fathers and sons. Conclude that there is a difference in average heights between fathers and sons. The sample statistic is consistent with Ho The sample statistic is not consistent with Ho There is strong evidence to support Ha There is weak evidence to support Ha

Test is that whether the sons are taller tham their fathers. It is given that Sample size n = 8 Mean…

Answered: What is d2; i.e., the difference for…

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 12

What is d2; i.e., the difference for the 2nd family? USE 1 DECIMAL PLACE.

QUESTION 13

The mean of the differences is 0.0125. The standard deviation of the differences is 2.80277.

Find the test statistic. ROUND TO 3 DECIMAL PLACES.

QUESTION 14

Assuming all assumptions/conditions are met, what distribution will be used to find the p-value?

QUESTION 15

What is the p-value? 3 decimal places.

QUESTION 16

What is your conclusion to this hypothesis test? CHECK ALL THAT APPLY. (4 choices should be checked!)

		Reject H_o
		Do Not Reject H_o
		Do not conclude there is a difference in average heights between fathers and sons.
		Conclude that there is a difference in average heights between fathers and sons.
		The sample statistic is consistent with H_o
		The sample statistic is not consistent with H_o
		There is strong evidence to support H_a
		There is weak evidence to support H_a

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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