One Population Median Inference

Data Summary

Cases read Cases missing Cases used Min Median Max
82 0 82 13.2 32.45 65.4

Test of Hypothesis about Median of Differences: Miles per Gallon
Method: Sign Test

Null Hypothesis H0: Median of difference 'Miles per Gallon' is equal to 32
Alternative Hypothesis Ha: Median of difference 'Miles per Gallon' is greater than 32

Sample Size Sample Median Number Below Number Equal Number Above P-Value
82 32.45 36 0 46 0.160147

Test is not significant at 5% level.

P-Value Graph: Miles per Gallon
Sign Test Using the Binomial Distribution

Null Density: Binomial; n = 82, p = 0.5
Alternative Hypothesis Ha: Median of 'Miles per Gallon' is greater than 32

, The graph shows the distribution of Number of observed deviations from the null value m0 = 32 , Observed value = 46 , P-Value = 0.16015 , P(X >= 46)

Critical Region Graph: Miles per Gallon
Sign Test Using the Binomial Distribution

Null Density: Binomial; n = 82, p = 0.5
Alternative Hypothesis Ha: Median of 'Miles per Gallon' is greater than 32

, The graph shows the distribution of Number of observed deviations from the null value m0 = 32 , Observed value = 46 , Critical Region: X >= 49 , Exact Significance level = 4.852%

Wilcoxon Signed-Rank Test of Location: Miles per Gallon

Null Hypothesis H0: Location of 'Miles per Gallon' is equal to 32
Alternative Hypothesis Ha: Location of 'Miles per Gallon' is greater than 32

Method Wilcoxon Stat. P-Value
Normal Approximation with CC 1953.5 0.12245

Warning:


The Exact method was not used due to ties in the data.