Consider the data with analysis shown in the following computer output: Level N Mean StDev A 6 87.461 4.853 B 5 76.167 6.555 C 6 80.000 9.230 D 7 69.333 6.154 Source DF SS MS F P Groups 3 1105.58 368.53 7.82 0.001 Error 20 942.82 47.14 Total 23 2048.40 What is the pooled standard deviation? What degrees of freedom are used in doing inferences for these means and differences in means? Round your answer for the pooled standard deviation to two decimal places. The pooled standard deviation is . degrees of freedom
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.
Consider the data with analysis shown in the following computer output:
Level | N | StDev | |
A | 6 | 87.461 | 4.853 |
B | 5 | 76.167 | 6.555 |
C | 6 | 80.000 | 9.230 |
D | 7 | 69.333 | 6.154 |
Source | DF | SS | MS | F | P |
Groups | 3 | 1105.58 | 368.53 | 7.82 | 0.001 |
Error | 20 | 942.82 | 47.14 | ||
Total | 23 | 2048.40 |
Round your answer for the pooled standard deviation to two decimal places.
The pooled standard deviation is .
degrees of freedom=
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