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Standard Normal Curve Probabilities

                                     Given Z

                                     Left                 Right               In between
Z-score entry                                         0                  1.24        0.42
Answer                                           0.5000               0.1075

                                     Find Z

                                                          Standard
                                     Mean                 Deviation            Data
                                                    15                     3          16.5
                                                    15                     3           3.2

                                     Left                 Right              In between
Answer                                           0.6915               0.3085      0.6914


Finding z for a probability

                                     LEFT                 RIGHT                BETWEEN
Probability
                              0.74                 0.64                -0.64          -1.13
                                                                                       1.13
Finding Standard Scores

                                     Standard
Mean                                 Deviation            Data (x)             Z-Score
                               24                    3                    32         2.67


Finding Data Scores

                                     Standard
Mean                                 Deviation            Z-Score              X
                               24                    3                  1.11          27.3
n between
                3.15
              0.3364




            Zscore
                 0.50
                -3.93

n between
Find Z

Sample
Size (n)        Mean         Standard Deviation tandard Error
                                              S            Data      Zscore
           36           1300              250        41.67     1150      -3.60
           36           1300              250        41.67       2.2    -31.15




                Left            Right          In between
Answer                 0.0002           0.9998       0.0002
Binomial to Normal                np           nq
                                          4       16 Standar
                                                     d        New Data
                                                     Deviatio w/correctio
n                   p             q          Mean    n        n           Z-score
               20           0.2          0.8       4 1.7889          97.5     52.27
               20           0.2          0.8       4     1.79       200.5    109.85



Answers

Less than         Greater than In Between
            1.0000 0.0000000000    0.0000000

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Chapter 5

  • 1. Standard Normal Curve Probabilities Given Z Left Right In between Z-score entry 0 1.24 0.42 Answer 0.5000 0.1075 Find Z Standard Mean Deviation Data 15 3 16.5 15 3 3.2 Left Right In between Answer 0.6915 0.3085 0.6914 Finding z for a probability LEFT RIGHT BETWEEN Probability 0.74 0.64 -0.64 -1.13 1.13 Finding Standard Scores Standard Mean Deviation Data (x) Z-Score 24 3 32 2.67 Finding Data Scores Standard Mean Deviation Z-Score X 24 3 1.11 27.3
  • 2. n between 3.15 0.3364 Zscore 0.50 -3.93 n between
  • 3. Find Z Sample Size (n) Mean Standard Deviation tandard Error S Data Zscore 36 1300 250 41.67 1150 -3.60 36 1300 250 41.67 2.2 -31.15 Left Right In between Answer 0.0002 0.9998 0.0002
  • 4. Binomial to Normal np nq 4 16 Standar d New Data Deviatio w/correctio n p q Mean n n Z-score 20 0.2 0.8 4 1.7889 97.5 52.27 20 0.2 0.8 4 1.79 200.5 109.85 Answers Less than Greater than In Between 1.0000 0.0000000000 0.0000000