Background:

Techtron Corp., a leading software development company, has been experiencing high employee turnover in recent years. The company's HR department wants to implement a new employee engagement program to reduce pay dissatisfaction and prevent turnover. The average pay dissatisfaction at Techtron Corp. has been $22(\backslash$mu $=22$; $\backslash$sigma $=3\mathrm{.}5).$ The HR department wants to determine if the new benefits program reduces pay dissatisfaction significantly. The HR department conducted a pilot test of the new employee engagement program with a random sample of $100$ employees. After six months, they collected data on the pay dissatisfaction among these employees. Find the critical value for a one$-$tailed test at $\backslash$alpha $=0\mathrm{.}05.$

Sample size $($n$)=100$ employees

Sample pay dissatisfaction $($x$)=14\mathrm{.}5$