One Population Median Inference

Data Summary

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

Confidence Interval for Population Median: Miles per Gallon

Sample Size = 82
Median = 32.45

Method Confidence Level Lower CL Upper CL
Binomial Exact 96.48% 31.3 36.1
Binomial Exact 94.02% 31.4 35.4
Interpolated* 95% 31.3601 35.6795

* Based on linear interpolation of the two exact confidence intervals

Wilcoxon Confidence Interval for Population Location: Miles per Gallon

Sample Size = 82
Median = 32.45
Confidence Level = 95%

Method Lower CL Upper CL
Normal Approximation with CC 31.35 35.5001

Warning:


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

Bootstrap Confidence Interval for Population Median: Miles per Gallon

Confidence Level = 95%
Number of replications = 10000; Random generator seed = 100

Sample size = 82
Sample Median = 32.45; Bootstrap SE = 1.246038

Method Lower CL Upper CL
Percentile 31.4 35.6
BCa 31.35 35.4

Distribution of Bootstrap Replications of Sample Median
Miles per Gallon

  ,  The graph shows the distribution of   bootstrap replicates of   Miles per Gallon  ,  5% tail area , Percentile confidence limits , BCa confidence limits , Observed sample median , Number of replications = 10000 , Random generator seed = 100