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Using the Calculator for Normal Distributions

Using the Calculator for Normal Distributions. Standard Normal. Go to 2 nd Distribution Find #2 – Normalcdf Key stroke is Normalcdf(Begin, end) If standardized, then mean & st. deviation do not have to be given. Find P(1.1<z<1.89). Press: Normalcdf (1.1, 1.89) enter

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Using the Calculator for Normal Distributions

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  1. Using the Calculator for Normal Distributions

  2. Standard Normal • Go to 2nd Distribution • Find #2 – Normalcdf • Key stroke is Normalcdf(Begin, end) • If standardized, then mean & st. deviation do not have to be given.

  3. Find P(1.1<z<1.89) • Press: Normalcdf (1.1, 1.89) enter • You should get 0.1063 • Check By chart method: 0.9706 – 0.8643 = 0.1063

  4. To represent infinity we use • 1E99 (1X10^99) for positive infinity • -1E99 (-1x10^99) for negative infinity • Represent in notation with ∞

  5. Find: P(z<2.07)

  6. Find: P(z>0.12)

  7. Try the following • P(z < -1.23) • P(-1.2<z<2.05) • P(z>1.23)

  8. Average age of a student is 20 with standard deviation of 2.1 years. What’s the probability that a student’s age is more than 23?

  9. Finding a percentile…. • Use Invnorm(%) to get the z-score

  10. The mean score on a test is 70 with  = 3. What’s the cutoff score for the 90th percentile?

  11. If the mean test score is 88 with standard deviation of 2, find the cutoff scores for the middle 40%.

  12. Homework • Worksheet

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