Respuesta :
Answer:
t -critical is -1.37
Step-by-step explanation:
Solution:-
- There are two parameters to determine the critical values of t-test.
Degree of freedom = n - 1
- Where, n = sample size
And,
Significance Level α = denotes the probability of the the t distribution above or below the vritical value.
- The type of test:
Left tail : The leftmost region is defined by the significance level
Right tail : The right most region is defined by the significance level
Two tail : Both tails ( left and right ) are defined by the significance level
- The given data has the following:
α = 0.1 , n = 11
degree of freedom df = n - 1 = 11 - 1 = 10
Type : left tailed
- The t-critical value is defined by as follows:
P ( X < t-critical ) = α
P ( X < t-critical ) = 0.1
- Use the t-look up table and determine the corresponding value:
P ( X < -1.37 ) = 0.1
Hence, t -critical is -1.37.
