• 0
Votes
name

A PHP Error was encountered

Severity: Notice

Message: Undefined index: userid

Filename: views/question.php

Line Number: 192

Backtrace:

File: /home/noqkocv1izd6/public_html/application/views/question.php
Line: 192
Function: _error_handler

File: /home/noqkocv1izd6/public_html/application/controllers/Questions.php
Line: 416
Function: view

File: /home/noqkocv1izd6/public_html/index.php
Line: 315
Function: require_once

Assume that you have a sample of n1 = 4, with the sample mean X_bar1 = 48, and a sample standard deviation of S1 = 4, and you have an independent sample of n2 = 6 from another population with a sample mean of X_bar2 = 39 and the sample standard deviation S2 = 3. Assuming the population variances are equal, at the 0.01 level of significance, is there evidence that u1 > u2?

Determine the hypotheses. 

Find the test statistic

Find the p-value

Make the correct decision about the null hypothesis. 

Assuming equal variance means the standard deviations have to be pooled. 

s^2   = ((n1-1)*s1^2  + (n2-1)*s2^2)/(n1 + n2  - 2) = 11.625

s^2  =  11.625

we test the claim that the mean of the population for the first sample is greater. 

t = (48 - 39)/s*(1/n1 + 1/n2)

t = (48 - 39)/3.41*sqrt(1/4 + 1/6) =  17.72

 

Reject the null hypothesos

  • 0
Reply Report