Given:

59.4, 71.6, 69.3, 65.0, 62.9, 66.5, 61.7, 55.2, 67.5, 67.2, 63.8, 62.9, 63.0, 63.9, 68.7, 65.5, 61.9, 69.6, 58.7, 63.4, 61.8, 60.6, 69.8, 60.0, 64.9, 66.1, 66.8, 60.6, 65.6, 63.8, 61.3, 59.2, 64.1, 59.3, 64.9, 62.4, 63.5, 60.9, 63.3, 66.3, 61.5, 64.3, 62.9, 60.6, 63.8, 58.8, 64.9, 65.7, 62.5, 70.9, 62.9, 63.1, 62.2, 58.7, 64.7, 66.0, 60.5, 64.7, 65.4, 60.2, 65.0, 64.1, 61.1, 65.3, 64.6, 59.2, 61.4, 62.0, 63.5, 61.4, 65.5, 62.3, 65.5, 64.7, 58.8, 66.1, 64.9, 66.9, 57.9, 69.8, 58.5, 63.4, 69.2, 65.9, 62.2, 60.0, 58.1, 62.5, 62.4, 59.1, 66.4, 61.2, 60.4, 58.7, 66.7, 67.5, 63.2, 56.6, 67.7, 62.5

Table 8.8: Heights of 100 Women in Inches

Tasks:

1. Use a random number generator to select ten data values randomly from the list provided.
2. Calculate the sample mean and the sample standard deviation for the selected ten values. Assume the population standard deviation is known to be 3.3 inches.
3. Construct a 90% confidence interval for your sample of ten values using the calculated sample mean and standard deviation. Write the confidence interval you obtained in the first space of Table 8.9.
4. Write your confidence interval on the board. As others in the class write their confidence intervals on the board, copy them into Table 8.9.

Table 8.9: 90% Confidence Intervals