I am having trouble interpreting the descriptive statistics from a one way ANOVA
ID: 3218948 • Letter: I
Question
I am having trouble interpreting the descriptive statistics from a one way ANOVA comparing gender and GRE in major scores:
Descriptives
GRE in major
N Mean Std. Deviation Std. Error 95% Confidence Interval for Mean Minimum Maximum
Lower Bound Upper Bound
male 32 651.5625 72.69509 12.85080 625.3531 677.7719 530.00 790.00
female 18 653.3333 69.53628 16.38986 618.7538 687.9129 520.00 760.00
Total 50 652.2000 70.86319 10.02157 632.0609 672.3391 520.00 790.00
Explanation / Answer
N -> Sample size. There are total 50 cases of GRE scores in your data, out of which 32 are concerning males and 18 are concerning females.
Mean -> The mean of GRE Scores for the 32 males is 651.5625 and the mean for the 18 females is 653.3333. The total mean regardless of gender is 652.2000. Females have a slightly better GRE score.
Standard Deviation -> This is a measure of how much the data differs from the mean. For 32 males, it is 72.695 and for the 18 females it is 69.53628. There is more. There is more spread in the data for males than females.
Standard Error -> This is the standard deviation of the sampling distribtuion and represents the accuracy with which the sample mean represents the population mean. Smaller the standard error, the better it is and it is inversely proportional to sample size. standard error is standard deviation divided by sqrt(sample size).
Confidence Interval -> It states that there is a 95% confidence that the mean GRE score is between 625.3531 and 677.7719 for males and 618.7538 and 687.9129 for females. The wider interval for females is due to the smaller sample size.
The minimum and maximum is a measure of spread and gives the range for both males and females. Here the highest score is for a male while the lowest is for a female.
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