In a two-sample t-test, suppose you obtain sample means equal to 25 in sample 1, and 26 in sample 2. Based on this information only, the following is/are true: a) since the sample means are obviously different, the null hypothesis will necessarily be rejectedb) the mean difference is necessarily statistically significantc) the mean difference of 1 implies the alternative hypothesis is trued) the mean difference of 1 could have arisen due to chance or random variation

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Description: In a two-sample t-test, suppose you obtain sample means equal to 25 in sample 1, and 26 in sample 2. Based on this information only, the following is/are true: a) since the sample means are obviously different, the null hypothesis will necessarily be

Given that sample means equal to 25 in sample 1, and 26 in sample 2.

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MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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In a two-sample t-test, suppose you obtain sample means equal to 25 in sample 1, and 26 in sample 2. Based on this information only, the following is/are true:

a) since the sample means are obviously different, the null hypothesis will necessarily be rejected
b) the mean difference is necessarily statistically significant
c) the mean difference of 1 implies the alternative hypothesis is true
d) the mean difference of 1 could have arisen due to chance or random variation

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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