In a study of marital satisfaction, a random sample of 12 couples married for between five and fifteen years was obtained. Each couple was interviewed by the researcher and rated on a Marital Cohesion сM) scale. MC MC2 14 196 9. 81 7 49 14 196 15 225 13 169 10 100 17 289 11 121 18 324 14 196 14 196 Σ- 156 E(x2) =2142
In a study of marital satisfaction, a random sample of 12 couples married for between five and fifteen years was obtained. Each couple was interviewed by the researcher and rated on a Marital Cohesion сM) scale. MC MC2 14 196 9. 81 7 49 14 196 15 225 13 169 10 100 17 289 11 121 18 324 14 196 14 196 Σ- 156 E(x2) =2142
In a study of marital satisfaction, a random sample of 12 couples married for between five and fifteen years was obtained. Each couple was interviewed by the researcher and rated on a Marital Cohesion сM) scale. MC MC2 14 196 9. 81 7 49 14 196 15 225 13 169 10 100 17 289 11 121 18 324 14 196 14 196 Σ- 156 E(x2) =2142
Is there a significant difference between the sample mean of scores and the population mean of 15? Carry out all 9 steps of the hypothesis testing.
Transcribed Image Text:In a study of marital satisfaction, a random sample of 12 couples
married for between five and fifteen years was obtained. Each couple
was interviewed by the researcher and rated on a Marital Cohesion
(MC) scale.
MC
MC2
14
196
81
7
49
14
196
15
225
13
169
10
100
17
289
11
121
18
324
14
196
14
196
Σ- 156
E(x?) =2142
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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