Answer:
The value is [tex]t_{\frac{\alpha }{2} , 21 } = 2.518[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 22
Generally the degree of freedom is mathematically represented as
[tex]df = n- 1[/tex]
=> [tex]df = 22- 1[/tex]
=> [tex]df = 21[/tex]
From the question we are told the confidence level is 98% , hence the level of significance is
[tex]\alpha = (100 - 98 ) \%[/tex]
=> [tex]\alpha = 0.02[/tex]
Generally from the t distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] at a degree of freedom of [tex]df = 21[/tex] is
[tex]t_{\frac{\alpha }{2} , 21 } = 2.518[/tex]
