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Univariate / Descriptive Statistics & Normality Check
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The UNIVARIATE Procedure
Variable: ac_ft
Moments
N 20 Sum Weights 20
Mean 26.035 Sum Observations 520.7
Std Deviation 4.78476475 Variance 22.8939737
Skewness -0.0109938 Kurtosis -0.8828689
Uncorrected SS 13991.41 Corrected SS 434.9855
Coeff Variation 18.3782014 Std Error Mean 1.06990592
Basic Statistical Measures
Location Variability
Mean 26.03500 Std Deviation 4.78476
Median 26.80000 Variance 22.89397
Mode 27.10000 Range 16.80000
Interquartile Range 7.90000
Tests for Location: Mu0=0
Test -Statistic- -----p Value------
Student's t t 24.33392 Pr > |t| <.0001
Sign M 10 Pr >= |M| <.0001
Signed Rank S 105 Pr >= |S| <.0001
Tests for Normality
Test --Statistic--- -----p Value------
Shapiro-Wilk W 0.97025 Pr < W 0.7601
Kolmogorov-Smirnov D 0.105268 Pr > D >0.1500
Cramer-von Mises W-Sq 0.031039 Pr > W-Sq >0.2500
Anderson-Darling A-Sq 0.213946 Pr > A-Sq >0.2500
Quantile Estimate
100% Max 34.80
99% 34.80
95% 33.35
90% 31.85
75% Q3 29.95
50% Median 26.80
25% Q1 22.05
10% 19.30
5% 18.40
1% 18.00
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Univariate / Descriptive Statistics & Normality Check
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The UNIVARIATE Procedure
Variable: ac_ft
Quantiles (Definition 5)
Quantile Estimate
0% Min 18.00
Extreme Observations
----Lowest---- ----Highest---
Value Obs Value Obs
18.0 1 30.7 2
18.8 6 31.6 20
19.8 3 31.8 7
21.2 9 31.9 11
21.8 16 34.8 18
Stem Leaf # Boxplot
34 8 1 |
32 |
30 7689 4 +-----+
28 2 1 | |
26 79119 5 *--+--*
24 70 2 | |
22 34 2 +-----+
20 28 2 |
18 088 3 |
----+----+----+----+
Normal Probability Plot
35+ ++*+
| ++++
| * *+*+ *
| +*++
27+ *+****
| +**+
| ++*+*
| +++* *
19+ * ++*+ *
+----+----+----+----+----+----+----+----+----+----+
-2 -1 0 +1 +2
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T.H. on Single C.T. against
µ0 = 25 ac-ft @ alpha=0.01 by using t-test
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The TTEST Procedure
Variable: ac_ft
N Mean Std Dev Std Err Minimum Maximum
20 26.0350 4.7848 1.0699 18.0000 34.8000
Mean 99% CL Mean Std Dev 99% CL Std Dev
26.0350 22.9741 29.0959 4.7848 3.3577 7.9723
DF t Value Pr > |t|
19 0.97 0.3455