From MAN statistics

It was determined how many points from the homework assignments in statistics were received by randomly selected students of the MAN field and how many by randomly selected students of the THK field. It was found:

MAN x/17/17/15/21/29/30/16/18/15/25/16/
THK y/15/18/16/22/25/.

Can we say at the test level α= 0.05 that the MAN field achieves better results than the THK field? Determine the test statistics.

Correct answer:

M =  0

Step-by-step explanation:

α=0.05 MAN: {17, 17, 15, 21, 29, 30, 16, 18, 15, 25, 16} μ1=19.909090909119.9091 σ1=5.316433278995.3164  THK: {15, 18, 16, 22, 25} μ2=19.2 σ2=3.762977544453.763  m1=μ1μ1 α=19.909119.9091 0.05=2204161=1822020118.9136 m2=μ1+μ1 α=19.9091+19.9091 0.05=2204599=2022019920.9045  t1=μ2μ2 α=19.219.2 0.05=25456=18256=18.24 t2=μ2+μ2 α=19.2+19.2 0.05=25504=20254=20.16  <m1;m2>  <t1;t2> = <t1;t2>  M=0



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