the mean height of students that have jobs in the classroom is 68.72222. the mean height of students that don't have jobs is 66.45833. what is the lower limit of the 95% confidence interval for the difference of the mean height of biology students that have jobs and those that don't, based on the above calculations?

Respuesta :

df = [[tex](s1^2/n1+s2^2/n2)^2/{1/n1-1 (s1^2/n1)^2+1/n2-1(s2^2/n2)^2}].[/tex]

What does confidence interval mean?

Your estimate's mean plus and minus the range of that estimate's fluctuation is called a confidence interval.

                     If you repeat your test, you can expect your estimate to fall between these numbers with a reasonable degree of certainty. Another term for probability in statistics is confidence.

The 95%

[tex]c.i=(x1bar-x2bar)-zalpha/2 SE, assuming both n1 and n2 are greater than 30, SE=sqrt[sigma1^2/n1+sigma2^2/n2][/tex]

=(68.72222-66.45833)-1.96 SE

=2.26389-1.96 SE,

The 95%

[tex]c.i=(x1bar-x2bar)-talpha/2 SE, where, SE=sqrt (s1^2/n1+s2^2/n2),[/tex]

and both n1 and n2 are less than 30,

t critical is computed at alpha/2,

and

df= [tex](s1^2/n1+s2^2/n2)^2/{1/n1-1 (s1^2/n1)^2+1/n2-1(s2^2/n2)^2}].[/tex]

Learn more about confidence interval

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