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6-44.
  1. A survey of 80 seniors at Algieres High School finds that 65% have been accepted to a four-year university. A computer simulation is conducted and the proportions sorted to determine the sample-to-sample variability: Homework Help ✎

    Proportion of students accepted to a four-year university (sorted).
    Simulation mean = 0.65.

    0.51
    0.52
    0.54
    0.54
    0.56

    0.60
    0.61
    0.61
    0.61
    0.61

    0.63
    0.63
    0.63
    0.63
    0.63

    0.66
    0.66
    0.66
    0.67
    0.67

    0.69
    0.70
    0.70
    0.71
    0.71

    0.56
    0.56
    0.57
    0.57
    0.58

    0.61
    0.62
    0.62
    0.62
    0.62

    0.64
    0.64
    0.64
    0.64
    0.65

    0.67
    0.67
    0.67
    0.67
    0.67

    0.71
    0.71
    0.71
    0.71
    0.72

    0.58
    0.59
    0.59
    0.59
    0.59

    0.62
    0.62
    0.62
    0.62
    0.62

    0.65
    0.65
    0.65
    0.65
    0.65

    0.67
    0.67
    0.68
    0.68
    0.68

    0.73
    0.73
    0.73
    0.73
    0.74

    0.59
    0.59
    0.59
    0.60
    0.60

    0.62
    0.63
    0.63
    0.63
    0.63

    0.65
    0.65
    0.65
    0.65
    0.66

    0.68
    0.68
    0.68
    0.69
    0.69

    0.74
    0.75
    0.76
    0.76
    0.77

    checksum 64.64

    1. Use the technique in problem 6-42 to determine the upper and lower 5% bounds of the sample-to-sample variability.

    2. Predict the proportion of the seniors at Algieres High who have been accepted to a four-year university and give the margin of error.

The simulation was run 100 times.
Which results represent the 5th and 95th percentiles?

The mean (center) is ≈ 65%.
Acceptance rates can be expected to be in the range of your answers to part (a).
Express this as 65% ± x%.