# Dalton is a public school teacher in Burlington. After a conversation with a colleague in Sudbury, Dalton realizes that hissalary is much lower than his colleague's, even though they have similar backgrounds and work experiences. Daltontheorizes that the population mean annual salary for a public school teacher in Burlington is less than the population meanannual salary for a public school teacher in Sudbury. He conducts research on the inquiry and assumes that the populationstandard deviation is \$2,409 for Burlington and \$3,192 for Sudbury. Dalton randomly selects the salaries of public schoolteachers in Burlington and in Sudbury. The results of Dalton's findings are shown in the table below. Assuming theconditions needed for the hypothesis test have been met, what is the z test statistic for this hypothesis test, rounded to twodecimal places?BurlingtonSudbury2\$56,561n2 33\$54,906ni36Provide your answer below:Z-

Question
Step 1

Explanation:

Denote µ1 = true population mean for Burlington teachers’ salary and µ2 = true population mean for Sudbury teachers’ salary.

The test hypotheses are:

Null hypothesis:

H0: µ1 – µ2 = 0, that is, there is no difference between the teachers’ mean salaries, between Burlington and Sudbury.

Alternative hypothesis:

Ha: µ1 – µ2 < 0, that is, the mean salary of te...

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