Module 8 desk work 3
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The document calculates the Z-score corresponding to an 86% confidence level in 5 steps: 1) it finds that α is 0.14, 2) calculates α/2 as 0.07, 3) draws the standard normal distribution curve, 4) determines the area to the left is 0.93, and 5) uses tables to find that the Z-score closest to an area of 0.93 is 1.48.
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Module 8 desk work 3
- 1. Find Zα/2 for an 86% confidence level. 1) α = 1 – Confidence Level = 1 – 0.86 = 0.14
- 2. Find Zα/2 for an 86% confidence level. 1) α = 1 – Confidence Level = 1 – 0.86 = 0.14 2) α/2 = 0.14/2 = 0.07
- 3. Find Zα/2 for an 86% confidence level. 1) α = 1 – Confidence Level = 1 – 0.86 = 0.14 2) α/2 = 0.14/2 = 0.07 3) Draw the standard normal distribution curve.
- 4. Find Zα/2 for an 86% confidence level. 4) The area to the left is the complement of the area to the right, therefore Area to the left = 1 – α/2 = 1 – 0.07 = 0.9300
- 5. Find Zα/2 for an 86% confidence level. 5) Look for the closest value to 0.9300 inside Table A-2 and find 0.9292 and 0.9306. The area 0.9306 is closer to 0.9300 than 0.9292. The Z-score for 0.9306 is 1.48.
- 6. Find Zα/2 for an 86% confidence level. 5) Look for the closest value to 0.9300 inside Table A-2 and find 0.9292 and 0.9306. The area 0.9306 is closer to 0.9300 than 0.9292. The Z-score for 0.9306 is 1.48. Zα/2 = 1.48