Kurtis is a statistician who claims that the average salary of an employee in the city of Yarmouth is no more than$55,000

per year. Gina, his colleague, believes this to be incorrect, so she randomly selects61

employees who work in Yarmouth and record their annual salary. Gina calculates the sample mean income to be$56,500

per year with a sample standard deviation of3,750

. Using the alternative hypothesisH

a

:>55,000

, find the test statistict

and the p-value for the appropriate hypothesis test. Round the test statistic to two decimal places and the p-value to three decimal places.

Right-Tailed T-Table

probability0.00040.00140.00240.00340.00440.00540.0064Degrees of Freedom543.5623.1352.9432.8162.7192.6412.576553.5583.1322.9412.8142.7172.6402.574563.5543.1302.9392.8122.7162.6382.572573.5503.1272.9372.8102.7142.6362.571583.5473.1252.9352.8082.7122.6352.569593.5443.1222.9332.8062.7112.6332.568603.5403.1202.9312.8052.7092.6322.567