The mean annual incomes of certified welders are normally distributed with the mean of $75,000 and a population standard deviation of $3,500. The ship building association wishes to find out whether their welders earn more or less than $75,000 annually. The alternate hypothesis is that the mean is not $75,000. If the level of significance is 0.01, what is the critical value?
±2.576
−2.576
±1.645
+1.645
Solution :-
Given :- The alternate hypothesis is that the mean is not $75,000
The above statement indicate that the test is a two tailed test.
Hypothesis :-
Ho : u = 75000
H1 : u
75000
( Two tailed test )
At 0.01 significance level ' z ' is,
= 0.01
/ 2 = 0.01 / 2
/ 2 = 0.005
z
/ 2 =
2.576
Therefore Critical value at
= 0.01 for two tailed test is =
2.576
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