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11-52.
  1. A survey of 80 seniors at Algieres High School found that 65% had been accepted to a four-year university. A computer simulation was 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 of problem 11-27 to find the upper and lower 5% bounds of the sample-to-sample variability.

    2. Predict the proportion of the seniors at Algieres High that have been accepted to four-year universities 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%.