### Home > INT3 > Chapter 6 > Lesson 6.2.2 > Problem 6-44

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

0.560.60

0.61

0.61

0.61

0.610.63

0.63

0.63

0.63

0.630.66

0.66

0.66

0.67

0.670.69

0.70

0.70

0.71

0.710.56

0.56

0.57

0.57

0.580.61

0.62

0.62

0.62

0.620.64

0.64

0.64

0.64

0.650.67

0.67

0.67

0.67

0.670.71

0.71

0.71

0.71

0.720.58

0.59

0.59

0.59

0.590.62

0.62

0.62

0.62

0.620.65

0.65

0.65

0.65

0.650.67

0.67

0.68

0.68

0.680.73

0.73

0.73

0.73

0.740.59

0.59

0.59

0.60

0.600.62

0.63

0.63

0.63

0.630.65

0.65

0.65

0.65

0.660.68

0.68

0.68

0.69

0.690.74

0.75

0.76

0.76

0.77*checksum 64.64*Use the technique in problem 6-42 to determine the upper and lower 5% bounds of the sample-to-sample variability.

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*%.