Below is a hypothesis test set up by a student who recently took introductory statistics: H0: x = 5HA: x ≠ 5The sample mean of 100 cases used to implement the hypothesis test is x = 4.2. Which of the following statements are accurate?This is a one-sided hypothesis test.There is an error in how these hypotheses were constructed.It would be reasonable to swap "<" for "≠" in the alternative hypothesis.i onlyii onlyiii onlyi and iii and iiiii and iii

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Description: Below is a hypothesis test set up by a student who recently took introductory statistics: H0: x = 5HA: x ≠ 5The sample mean of 100 cases used to implement the hypothesis test is x = 4.2. Which of the following statements are accurate?This is a one-si

Given hypothesis testH0 : x = 5Ha : x ≠ 5 sample size = 100sample mean = 4.2 The given alternate…

Answered: Below is a hypothesis test set up by a…

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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Below is a hypothesis test set up by a student who recently took introductory statistics:

H₀: x = 5

H_A: x ≠ 5

The sample mean of 100 cases used to implement the hypothesis test is x = 4.2. Which of the following statements are accurate?

This is a one-sided hypothesis test.
There is an error in how these hypotheses were constructed.
It would be reasonable to swap "<" for "≠" in the alternative hypothesis.

i only
ii only
iii only
i and ii
i and iii
ii and iii

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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