Do one of the following, as appropriate. (a) Find the critical value z Subscript alpha divided by 2, (b) find the critical value t Subscript alpha divided by 2, (c) state that neither the normal nor the t distribution applies. Confidence level 95%; nequals26; sigma equals 30.2; population appears to be normally distributed.
Find the critical value.
A. zα/2 = 1.645
B. zα/2 = 1.96
C. tα/2 = 2.060
D. tα/2 = 1.708
E. Neither normal nor t distribution applies.
SOLUTION:
given that n=26
HERE population standard deviation known sigma=30.2
so we can use z table
At 95% confidence level the z is ,
= 1 - 95% = 1 - 0.95 = 0.05
/ 2 = 0.05 / 2 = 0.025
Z/2 = Z0.025 = 1.96
correct option B)1.96
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