Find the mean of the differences ( and standard deviation of the differences (Sd). Replace “a,” “b,” and “c” in the table above with the correct values. Round to the third decimal place. Do you think there is a statistically significant difference between the pretest and posttest at the .05 level of significance?
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
Below are the SPSS results of a related (dependent) samples t-test. Use the SPSS results
Paired Samples Statistics | ||||||||
|
N |
Std. Deviation |
Std. Error Mean |
|||||
Pair 1 |
Statistics Posttest |
57.1250 |
40 |
16.73962 |
2.64677 |
|||
Statistics Pretest |
49.9250 |
40 |
15.09014 |
2.38596 |
Mean |
Std. Deviation |
Std. Error Mean |
t |
df |
Sig. two tail |
||
Statistics Posttest - Statistics Pretest |
7.200 |
12.313 |
(a. ) |
(b. ) |
(c. ) |
.001 |
|
Find the mean of the differences ( and standard deviation of the differences (Sd).
Replace “a,” “b,” and “c” in the table above with the correct values. Round to the third decimal place.
Do you think there is a statistically significant difference between the pretest and posttest at the .05 level of significance?
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