Answered: From the image you see, Q1) What is…

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

From the image you see,

Q1) What is the value of the test statistic? Choose one from below

-16.451

-0.741

-2.361

-3.288

-2.319

Q2) What are the degrees of freedom? Choose one from below

-24

-66

-25

-26

-65

Q3) What is the correct decision for this test? Choose one from below

-Since p-value < 0.05, do not reject H₀

-Since p-value > 0.05, do not reject H₀

-Since p-value > 0.05, reject H₀

-Since p-value < 0.05, reject H₀

Q3a) An appropriate conclusion for this test is: Choose one from below

-The true mean height of all basketball players in Australia is lower than 170cm

-The true mean height of all basketball players in Australia is higher than 170cm

-The true mean height of all basketball players in Australia could be 170cm

-None of the these

Histogram of height
4.
166
168
170
172
174
176
178
height
Kouanbaiy

data: height
t = ????, df =
alternative hypothesis: true mean is not equal to 170
95 percent confidence interval:
170.5682 172.4830
??, p-value
= 0.003096
sample estimates:
mean of x
171.5256
> sd(height)
[1] 2.319408

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 + ...

Expert Solution

Step 1

Given:

Ho: mu = 170

H1: mu is not equal to 170

Level of significance = 0.05

95% CI of mu = [ 170.5682 , 172.4830 ]

Mean of x = x bar = 171.5256

std dev=s = 2.319408

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