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teachers' salaries california and new york lead the list of average teachers' salaries. the california yearly average is while teachers in new york make an annual salary of . random samples of teachers from each state yielded the following. california new york sample mean population standard deviation use for the average teachers' salaries in california. at , is there a difference in means of the salaries?



Answer :

Tutorconsortium423

Therefore, we lack adequate data to draw the conclusion that population means differ.

What does the test statistic actually mean?

A result of a statistical test of a hypothesis is a number known as the test statistic. It displays how closely the distribution predicted by your observed data fit the null hypothesis of that statistical test.

Here,

First hypothesis : [tex]H_{0}[/tex] :  u1 - u2 =  0

Alternate hypothesis  : [tex]H_{A}[/tex]:  u1 - u2 ≠ 0

for 0.1 level with two tail test , critical z = 1.645

Rule of Decision: [tex]H_{0}[/tex]  Reject  if the test statistic's absolute value is |z|>1.645

California   , New York

x1            = 64510.00 x2            = 62900.00

n1           = 45                 n2            =                 45

σ1           = 8200.00 σ2           = 7800.00

std error σx1-x2=√(σ21/n1+σ22/n2)=[tex]\sqrt{(8200^2/45+7800^2/45) }[/tex]= 1687.0750

test stat z =(x1-x2-Δo)/σx1-x2    =(64510-62900)/1687.0750 = 0.95

We cannot reject the null hypothesis because the test statistic does not fall into the rejection zone.

Therefore, we lack adequate data to draw the conclusion that population means differ.

To know more about test  statistic , visit

brainly.com/question/14128303

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