1 / Assume that the distribution of residuals is approximately normal with mean 0 cm and standard deviation 5.9cm. What percent of the residuals are greater than 8cm? Justify your answer.

2 / Base on your answer on part 1, would it be surprising to randomly select a high school senior from the high school with a foot length of 20cm and a height greater than 165cm? Justify your answer. Download pdf

1. 8.576%

2. Yes

Step-by-step explanation:

1. Use the calculator

Enter: normalcdf (8, E99, 0, 5.9)

This is equal to. 08756.

Convert this number into a percent = 8.756%

2.

First, calculate the residual

Residual = Observed - Predicted = 165 - 2.599 (20) + 105.08 = 7.94

Use the calculator

Enter: normalcdf (7.94, E99, 0, 5.9)

This is equal to. 0892.

Convert this number into a percent = 8.92%

This would be surprising, because the chance of this happening is very low.