19. Please have all 6 steps of the p method listed clearly!Growth spurt: It is generally known that boys grow at an unusually fast rate between the ages of about 12 and 14. Following are heights, in inches of 10 boys, measured at age 12 and again at age 14. Can you conclude that the mean increase in height is less than 5.6 inches? Let μ1 represent the mean height at age 14 and =μd−μ1μ2. Use the =α0.01 level and the P-value method with the TI-84 Plus calculator. HeightAge 1257.961.162.767.559.261.460.755.959.756.3Age 1462.965.967.573.764.967.065.562.165.461.5

This is a paired dependent 't' test. sample size (n) = 10 mean = Σd/n = 54/10 =…

Answered: Please have all 6 steps of the p 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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19. Please have all 6 steps of the p method listed clearly!

Growth spurt: It is generally known that boys grow at an unusually fast rate between the ages of about

and

. Following are heights, in inches of

boys, measured at age

and again at age

. Can you conclude that the mean increase in height is less than

5.6

inches? Let

μ1

represent the mean height at age

and

=μd−μ1μ2

. Use the

=α0.01

level and the

-value method with the TI-84 Plus calculator.

	Height
Age 12	57.9	61.1	62.7	67.5	59.2	61.4	60.7	55.9	59.7	56.3
Age 14	62.9	65.9	67.5	73.7	64.9	67.0	65.5	62.1	65.4	61.5

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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