Hypothesis Test Problem A school had decided to hire a new vice principal A recent issue of the NEA magazine stated that the average vice principal salary for a school of similar size is $60,000 At the request of the Board of Education, the principal conducts his own survey of vice principal’s salaries His survey of 25 schools revealed an average salary or $72,000 and a standard deviation of $9,000 Perform a hypothesis test at a 5% significance level to test the magazine’s claim a What is the appropriate sampling distribution to use? b State the null and alternative hypotheses c State the decision rule at a significance level of 5% show all calculations
Hypothesis Test Problem
A school had decided to hire a new vice principal A recent issue of the NEA magazine stated that the average vice principal salary for a school of similar size is $60,000 At the request of the Board of Education, the principal conducts his own survey of vice principal’s salaries His survey of 25 schools revealed an average salary or $72,000 and a standard deviation of $9,000 Perform a hypothesis test at a 5% significance level to test the magazine’s claim
a What is the appropriate sampling distribution to use?
b State the null and alternative hypotheses
c State the decision rule at a significance level of 5% show all calculations
d Illustrate all key numbers and areas on a graph
e What decision should the school principal make?
f What type of error can possibly be made with the decision in part (e)?
g What is the value of the Maximum Tolerable Error for this problem?
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