Answered: state the p-value. g) Explain what…

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

Null and Alternative Hypothesis:
H0 : μ 4.4 mins vs Ha : μ > 4.4 mins

f) state the p-value.

g) Explain what this p-value means in context of the question in one sentence.

h) State whether you reject or do not reject the null hypothesis and a reason for your decision in one sentence.

i) Based on the above decision, state your conclusion addressing the research question, in context in one sentence.

j) Based on your decision, what kind of error could you have made, and explain what that would mean in the context of the problem? Answer the question in one sentence.

Randomization Dotplot of . Null hypothesis: μ = 4
Left Tail Two-Tail ✔ Right Tail
300
250
200
150
100
50
0
3.5
3.6
3.7
3.8
3.9
null = 4
4.1
0.000
4.2
4.482
4.3
samples = 10000
mean = 4.001
std. error = 0.107
4.4
4.5

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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