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Finding z using a Calculator……

Learn how to efficiently calculate areas and z-scores of a standard normal curve using a graphing calculator. Utilize InvNorm function to find probabilities for data with normal distribution. Examples provided to simplify the process.

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Finding z using a Calculator……

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  1. Finding z using a Calculator……

  2. OBJECTIVE Find areas and z-scores of a standard normal curve using a GDC.

  3. RELEVANCE Find probabilities and values of populations whose data can be represented with a normal distribution.

  4. 2nd Vars 3:InvNorm You input the entire area from the left side of the distribution over to the z-score. Finding z-scores using the calculator……

  5. Find the z-score above the mean with an area to the left of z equal to 0.9325. Draw and Shade. Everything is shaded from the far left of the distribution. This is the area needed for the calculator. Answer: InvNorm(0.9325) = 1.49 Example……

  6. Find the z-score below the mean with an area to the left of z equal to 13.87%. The area of 0.1387 is shaded from the entire left side up to the z (which is negative). Answer: InvNorm(0.1387)= -1.09 Example……

  7. Find the z-score below the mean with an area between 0 and z equal to 0.4066. You must 1st find the area from the far left to the z: 0.5000 – 0.4066 = 0.0934 Answer: InvNorm(0.0934) = -1.32 Example……

  8. Find the z-score above the mean with an area between 0 and z of 0.2123. You need to add 0.5 to 0.2123 to get the entire area from the far left to the z. 0.5 + 0.2123 = 0.7123 Answer: InvNorm(0.7123) = 0.56 Example……

  9. Find the z-score above the mean with an area of 0.3333 between 0 and z. Answer: 0.5 + 0.3333 = 0.8333 InvNorm(0.8333) = 0.97 Example……

  10. Find the z to the right of the mean with an area to the right of z equal to 0.0239. Answer: 1 – 0.0239 = 0.9761 InvNorm(0.9761) = 1.98 Example……

  11. Homework WS

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