To determine Differentiate between performing a hypothesis test for μ 1 − μ 2 , in case of paired samples and independent samples. Explanation Suppose there are two populations, population 1 and population 2, with respective means μ 1 and μ 2 . In order to test whether the two population means are significantly different or are essentially the same, hypothesis test must be performed, based on sample values. Denote x ¯ 1 , x ¯ 2 as the means of the two samples respectively and s 1 , s 2 as the corresponding sample standard deviations ( SD ). Let n 1 and n 2 be the two sample sizes. Performing a hypothesis test for μ 1 − μ 2 , in case of paired samples and independent samples can be differentiated as follows: Point of difference Paired samples Independent samples When to use A paired samples test ( t -test) is used for matched pairs data, where the two populations considered in the study are dependent on each other. An independent samples test ( t -test) is used for independent data, where the two populations considered in the study are completely independent of each other. In the matched pairs test, the paired data usually relates to “before” and “after” treatment observations on the same set of individuals, or to closely related pairs of individuals. Thus, the sample sizes from both populations are equal. In independent samples test, the data relates to two sets of uncorrelated individuals. The observations neither relate to the same set of individuals, nor to a closely associates or correlated set of individuals. Thus, the sample sizes from the populations may or may not be equal. Notations d ¯ = x ¯ 1 − x ¯ 2 , μ d = μ 1 − μ 2 , μ 0 = μ 1 − μ 2 [ when H 0 is true ] , s d = S D ( d ) , n 1 = n 2 = n . s 1 = S D ( x ¯ 1 ) , s 2 = S D ( x ¯ 2 )

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Chapter 9, Problem 3WAI

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Differentiate between performing a hypothesis test for μ1−μ2, in case of paired samples and independent samples.

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Chapter 9, Problem 2WAI

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Essential Statistics

Ch. 9.1 - Prob. 1CYU Ch. 9.1 - Prob. 2CYU Ch. 9.1 - Prob. 3CYU Ch. 9.1 - Prob. 4CYU Ch. 9.1 - Prob. 5CYU Ch. 9.1 - Prob. 6CYU Ch. 9.1 - Prob. 7E Ch. 9.1 - Prob. 8E Ch. 9.1 - Prob. 9E Ch. 9.1 - Prob. 10E

Ch. 9.1 - Prob. 11E Ch. 9.1 - Prob. 12E Ch. 9.1 - Prob. 13E Ch. 9.1 - Prob. 14E Ch. 9.1 - Prob. 15E Ch. 9.1 - Prob. 16E Ch. 9.1 - Prob. 17E Ch. 9.1 - Prob. 18E Ch. 9.1 - Prob. 19E Ch. 9.1 - Prob. 20E Ch. 9.1 - Prob. 21E Ch. 9.1 - Prob. 22E Ch. 9.1 - Prob. 23E Ch. 9.1 - Prob. 24E Ch. 9.1 - Prob. 25E Ch. 9.1 - Prob. 26E Ch. 9.1 - 27. Does this diet help? A group of 78 people...Ch. 9.1 - Prob. 28E Ch. 9.1 - Prob. 29E Ch. 9.1 - Prob. 30E Ch. 9.1 - Prob. 31E Ch. 9.1 - Prob. 32E Ch. 9.1 - Prob. 33E Ch. 9.1 - Prob. 34E Ch. 9.1 - Prob. 35E Ch. 9.1 - Prob. 36E Ch. 9.1 - Prob. 37E Ch. 9.1 - 38. Interpret calculator display: The following...Ch. 9.1 - Prob. 39E Ch. 9.1 - Prob. 40E Ch. 9.1 - Prob. 41E Ch. 9.2 - Prob. 1CYU Ch. 9.2 - Prob. 2CYU Ch. 9.2 - Prob. 3CYU Ch. 9.2 - Prob. 4CYU Ch. 9.2 - Prob. 5E Ch. 9.2 - Prob. 6E Ch. 9.2 - Prob. 7E Ch. 9.2 - Prob. 8E Ch. 9.2 - Prob. 9E Ch. 9.2 - Prob. 10E Ch. 9.2 - Prob. 11E Ch. 9.2 - Prob. 12E Ch. 9.2 - Prob. 13E Ch. 9.2 - Prob. 14E Ch. 9.2 - Prob. 15E Ch. 9.2 - Prob. 16E Ch. 9.2 - Prob. 17E Ch. 9.2 - Prob. 18E Ch. 9.2 - Prob. 19E Ch. 9.2 - Prob. 20E Ch. 9.2 - Prob. 21E Ch. 9.2 - Prob. 22E Ch. 9.2 - Prob. 23E Ch. 9.2 - Prob. 24E Ch. 9.2 - Prob. 25E Ch. 9.2 - Prob. 26E Ch. 9.2 - Prob. 27E Ch. 9.2 - Prob. 28E Ch. 9.2 - Prob. 29E Ch. 9.2 - Prob. 30E Ch. 9.2 - Prob. 31E Ch. 9.2 - Prob. 32E Ch. 9.2 - Prob. 33E Ch. 9.2 - Prob. 34E Ch. 9.2 - Prob. 35E Ch. 9.2 - Prob. 36E Ch. 9.2 - Prob. 37E Ch. 9.3 - Prob. 1CYU Ch. 9.3 - Prob. 2CYU Ch. 9.3 - Prob. 3CYU Ch. 9.3 - Prob. 4CYU Ch. 9.3 - Prob. 5E Ch. 9.3 - Prob. 6E Ch. 9.3 - Prob. 7E Ch. 9.3 - Prob. 8E Ch. 9.3 - Prob. 9E Ch. 9.3 - Prob. 10E Ch. 9.3 - Prob. 11E Ch. 9.3 - Prob. 12E Ch. 9.3 - Prob. 13E Ch. 9.3 - Prob. 14E Ch. 9.3 - Prob. 15E Ch. 9.3 - SAT coaching: A sample of 32 students took a class...Ch. 9.3 - Prob. 17E Ch. 9.3 - Prob. 18E Ch. 9.3 - Prob. 19E Ch. 9.3 - Tires and fuel economy: A tire manufacturer is...Ch. 9.3 - Prob. 21E Ch. 9.3 - Prob. 22E Ch. 9.3 - Prob. 23E Ch. 9.3 - Prob. 24E Ch. 9.3 - Prob. 25E Ch. 9.3 - Prob. 26E Ch. 9.3 - Prob. 27E Ch. 9.3 - Prob. 28E Ch. 9.3 - Prob. 29E Ch. 9.3 - Prob. 30E Ch. 9.3 - Advantage of matched pairs: Refer to Exercise...Ch. 9.3 - Prob. 32E Ch. 9 - A sample of 15 weight litters is tested to see how...Ch. 9 - Prob. 2CQ Ch. 9 - Prob. 3CQ Ch. 9 - Prob. 4CQ Ch. 9 - Prob. 5CQ Ch. 9 - Prob. 6CQ Ch. 9 - Prob. 7CQ Ch. 9 - Prob. 8CQ Ch. 9 - Prob. 9CQ Ch. 9 - Prob. 10CQ Ch. 9 - Prob. 11CQ Ch. 9 - In a survey of 300 randomly selected female and...Ch. 9 - Prob. 13CQ Ch. 9 - Prob. 14CQ Ch. 9 - Prob. 15CQ Ch. 9 - Prob. 1RE Ch. 9 - Prob. 2RE Ch. 9 - Prob. 3RE Ch. 9 - Prob. 4RE Ch. 9 - Prob. 5RE Ch. 9 - Prob. 6RE Ch. 9 - Prob. 7RE Ch. 9 - Prob. 8RE Ch. 9 - Prob. 9RE Ch. 9 - Polling results: A simple random sample of 400...Ch. 9 - Treating bean plants: In a study to measure the...Ch. 9 - Prob. 12RE Ch. 9 - Prob. 13RE Ch. 9 - Prob. 14RE Ch. 9 - Prob. 15RE Ch. 9 - Prob. 1WAI Ch. 9 - Prob. 2WAI Ch. 9 - Describe the differences between performing a...Ch. 9 - Prob. 4WAI Ch. 9 - In what ways is the procedure for constructing a...Ch. 9 - Prob. 6WAI Ch. 9 - Prob. 7WAI Ch. 9 - Prob. 1CS Ch. 9 - Prob. 2CS Ch. 9 - Prob. 3CS Ch. 9 - Prob. 4CS Ch. 9 - Prob. 5CS Ch. 9 - Prob. 6CS

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