Question

A department chair wants to monitor the percentage of failing students in classes in her department. Each class had an enrollment of 50 students last spring. The number of failing students in the 10 classes offered that term were 1, 4, 2, 0, 0, 0, 0, 0, 0, and 3, respectively. Calculate the upper-bound for the control limits for a p-chart at z=1.96.

Answer 1

To calculate the upper-bound for the control limits for a p-chart, determine the standard deviation of the failing rate. The standard deviation in this case is 0, so the upper-bound for the control limits is also 0.

Step-by-step explanation:

To calculate the upper-bound for the control limits for a p-chart, you need to determine the standard deviation (σ) of the percentage of failing students. First, calculate the average failing rate:

Average failing rate = (1 + 4 + 2 + 0 + 0 + 0 + 0 + 0 + 0 + 3) / 10 = 1.0

Next, calculate the standard deviation:

Standard deviation = √(p(1-p)/n) = √(1(1-1)/10) = 0

Since the standard deviation is 0, the upper-bound for the control limits is also 0.