Answered: - What is the appropriate test to…

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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Related questions

Question

- What is the appropriate test to answer this question? (refer to the image)

- The null and alternative hypotheses are (choose from below)

H₀: π = 0.7, H₁: π ≠ 0.7

H₀: β = 0, H₁: β ≠ 0

H₀: μ = 0, H₁: μ ≠ 0

H₀: μ = 70, H₁: μ ≠ 70

H₀: μ₁- μ₂= 0, H₁: μ₁- μ₂ ≠ 0

- How can you justify the assumption for this test? (choose from below)

-Since nπ and n(1-π) are both ≥5, the Central Limit Theorem applies and we can assume that p arises from a normal distribution

-The shape of the histogram indicates that the scores may be from a normal distribution and/or the sample size is reasonably large so the sample mean will be from a normal population

-The boxplots indicate that the samples are fairly symmetric and the spreads are similar, so we can assume both sets of data come from normal distributions with the same spread

-The points are randomly scattered around a straight line, so the assumptions of linearity and constant spread are satisfied. The shape of the histogram indicates that the residuals come from a normal distribution

-None of these

- What is the value of the test statistic? (choose from below)

3.0615

0.005067

77.037

72.31

81.76

pulseB_f<-subset (pulseB, Gender=="F")
> t. test (pulseB_f$Pulsel, mu=70)
One sample t-test
data: pulseB_f$Pulsel
t = 3.0615, df = 26, p-value = 0.005067
alternative hypothesis: true mean is not equal to 70
95 percent confidence interval:
72. 31226 81.76181
sample estimates:
First pule rates; Female Students
mean of x
77.03704
60
70
80
90
100
pulseB_ISPulse1
Frequency
0 2 4 6

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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