Problem:

The school board is trying to evaluate a new math program introduced to second-graders in five elementary schools across the county this year. A sample of the student scores on standardized math tests in each elementary school yielded the following data:

SCHOOL  NO. OF TEST ERRORS

A                 52

B                 27

C                 35

D                 44

E                 55

Required:

Construct a c-chart for test errors, and set the control limits to contain 99.73% of the random variation in test scores. What does the chart tell you? Has the new math program been effective?

Solve the given numerical problem and illustrate step by step calculation.