Do one of the following, as appropriate: (a) Find the critical value za/2, (b) f

Question

Do one of the following, as appropriate: (a) Find the critical value za/2, (b) find the critical value ta/2, (c) state that neither the normal nor the t distribution applies.

91%; n = 45; s is known; population appears to be very skewed.



a. za/2 = 1.70

b. ta/2 = 1.645

c. za/2 = 1.75

d. ta/2 = 1.34

Explanation / Answer

n = 45 > 30 large sample -> use z distribution Step 1: 1- Confidence level = a 1-.91 = a a= 0.09 Step 2: [a/2] = [0.091/2] = 0.045 is confidence level Step 3: 1- Confidence level = a 1- 0.045 = .955 Step 4: http://lilt.ilstu.edu/dasacke/eco148/ztable.htm Use Z-score chart to finding the value of .955 look at Z table in that table look down in z = 1.7 and right side .00 which has value .9554 so .955 = 1.70 Step 5: Finally we get critical value is 91% and confidence level is 1.70 ans: a) za/2 = 1.70

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