A researcher measures intimacy ratings between unhappy married couples before giving them couple’s therapy counseling (1 = not at all intimate to 10 = very intimate). After the therapy, he finds t(34) = 2.32, p < .05, with the mean pretherapy ratings at 3.45 (standard deviation is 1.21) and the mean posttherapy ratings at 5.65 (standard deviation is 1.33). Interpret this result, be sure to use the term significant at some point!

The hypothesis is that there is significant difference between the population mean pretherapy ratings and population mean posttherapy ratings is stated below: Null hypothesis: H0: There is no significant difference between the population mean pretherapy ratings and population mean posttherapy ratings. Alternative hypothesis: H1: There is significant difference between the population mean pretherapy ratings and population mean posttherapy ratings. The test statistic value is 2.32 and p-value is less than 0.05.Decision rule: If p-value≤α, then reject the null hypothesis. Otherwise, do not reject the null hypothesis. Conclusion: Consider the level of significance as 0.05. The p-value (less than 0.05) is less than the level of significance (0.05). Based on decision rule, reject the null hypothesis. Thus, there is significant difference between the population mean pretherapy ratings and population mean posttherapy ratings.

Answered: A researcher measures intimacy ratings…

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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A researcher measures intimacy ratings between unhappy married couples before giving them couple’s therapy counseling (1 = not at all intimate to 10 = very intimate). After the therapy, he finds t₍₃₄₎ = 2.32, p < .05, with the mean pretherapy ratings at 3.45 (standard deviation is 1.21) and the mean posttherapy ratings at 5.65 (standard deviation is 1.33). Interpret this result, be sure to use the term significant at some point!

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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