In: Statistics and Probability
In a particular year, registered nurses earned an average annual
salary of $52,330. A survey was conducted with 45 nurses from a
particular state to determine if the annual salary is higher than
$52,330 for that state's nurses. The sample average was $62,979
with a sample standard deviation of $7,489. Conduct a hypothesis
test at the 5% level.
Note: If you are using a Student's t-distribution for the
problem, you may assume that the underlying population is normally
distributed. (In general, you must first prove that assumption,
though.)
What is the test statistic? t= ?
Sketch a picture of this situation. Label and scale the horizontal axis and shade the region(s) corresponding to the p-value.