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Part $1$

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 $75$

B $38$

C $42$

D $47$

E $61$

For the test$$errors$,$ the c$-$chart with control limits that contain$99\mathrm{.}73\%$ of the random variation in test scores$$is: