H0: µ ≥ 25 vs. Ha:µ < 25; s = 2, n = 20; α = 1%
What will be the critical value for testing this hypothesis?
Select one:
a. t* = 2.539
b. t* = 2.861
c. Z* = 2.33
d. t* = -2.539
Answer : (option d)
EXPLANTION
since sample size (n) is less than 30 we use t-distribution to obatain critical value
n = 20
critical value
----------------------------from t table
since alternative hypothesis Ha:µ < 25 is a left tail test therefore critical value is -2.539
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