Difference between revisions of "ZMean2Estimate Command"

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<noinclude>{{Manual Page|version=5}}</noinclude> {{command|statistics}}
 
<noinclude>{{Manual Page|version=5}}</noinclude> {{command|statistics}}
;ZMean2Estimate[ <List of Sample Data 1>, <List of Sample Data 2>, <σ1>, <σ2>, <Level> ]
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;ZMean2Estimate( <List of Sample Data 1>, <List of Sample Data 2>, <σ1>, <σ2>, <Level> )
 
: Calculates a Z confidence interval estimate of the difference between two population means using the given sample data sets, population standard deviations and confidence ''Level''.  
 
: Calculates a Z confidence interval estimate of the difference between two population means using the given sample data sets, population standard deviations and confidence ''Level''.  
 
:Results are returned in list form as {lower confidence limit,  upper confidence limit}.
 
:Results are returned in list form as {lower confidence limit,  upper confidence limit}.
 
:{{example|1=
 
:{{example|1=
<div> Two sample data <code><nowiki>list1 = {1, 4, 5, 4, 1, 3, 4, 2}</nowiki></code>, <code><nowiki>list2 = {2, 1, 3, 1, 2, 5, 2, 4}</nowiki></code> are given. The standard deviation of list1 is <code><nowiki>σ_1 = sqrt(2)</nowiki></code>, the standard deviation of list2 is <code><nowiki>σ_2  = sqrt(1.75)</nowiki></code> and the confidence level is 0.75. <br> <code><nowiki>ZMean2Estimate[list1, list2, σ_1,  σ_2, 0.75]</nowiki></code> yields ''list3 = {-0.29, 1.29}''.</div>}}
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<div> Two sample data <code><nowiki>list1 = {1, 4, 5, 4, 1, 3, 4, 2}</nowiki></code>, <code><nowiki>list2 = {2, 1, 3, 1, 2, 5, 2, 4}</nowiki></code> are given. The standard deviation of list1 is <code><nowiki>σ_1 = sqrt(2)</nowiki></code>, the standard deviation of list2 is <code><nowiki>σ_2  = sqrt(1.75)</nowiki></code> and the confidence level is 0.75. <br> <code><nowiki>ZMean2Estimate(list1, list2, σ_1,  σ_2, 0.75)</nowiki></code> yields ''list3 = {-0.29, 1.29}''.</div>}}
  
;ZMean2Estimate[ <Sample Mean 1>, <σ1>, <Sample Size 1>, <Sample Mean 2 >, <σ2>, <Sample Size 2>, <Level>]
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;ZMean2Estimate( <Sample Mean 1>, <σ1>, <Sample Size 1>, <Sample Mean 2 >, <σ2>, <Sample Size 2>, <Level>)
 
: Calculates a Z confidence interval estimate of the difference between two population means using the given sample means, population standard deviations and  confidence ''Level''.  
 
: Calculates a Z confidence interval estimate of the difference between two population means using the given sample means, population standard deviations and  confidence ''Level''.  
 
:Results are returned in list form as {lower confidence limit,  upper confidence limit}.
 
:Results are returned in list form as {lower confidence limit,  upper confidence limit}.

Latest revision as of 10:27, 12 October 2017


ZMean2Estimate( <List of Sample Data 1>, <List of Sample Data 2>, <σ1>, <σ2>, <Level> )
Calculates a Z confidence interval estimate of the difference between two population means using the given sample data sets, population standard deviations and confidence Level.
Results are returned in list form as {lower confidence limit, upper confidence limit}.
Example:
Two sample data list1 = {1, 4, 5, 4, 1, 3, 4, 2}, list2 = {2, 1, 3, 1, 2, 5, 2, 4} are given. The standard deviation of list1 is σ_1 = sqrt(2), the standard deviation of list2 is σ_2 = sqrt(1.75) and the confidence level is 0.75.
ZMean2Estimate(list1, list2, σ_1, σ_2, 0.75) yields list3 = {-0.29, 1.29}.


ZMean2Estimate( <Sample Mean 1>, <σ1>, <Sample Size 1>, <Sample Mean 2 >, <σ2>, <Sample Size 2>, <Level>)
Calculates a Z confidence interval estimate of the difference between two population means using the given sample means, population standard deviations and confidence Level.
Results are returned in list form as {lower confidence limit, upper confidence limit}.
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