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Boys tend to hit their growth spurt around 13 years old. A random sample of $100$ boys was taken to find out how many inches they grew from thirteen to fourteen years old. A $98\%$ confidence interval was constructed from this data and yielded a result of $(2.8, 4.3)\text{ inches}$.

Which of the following statements is true?

A

$98\%$ of the boys studied in this survey grew between $2.8$ to $4.3\text{ inches}$.

B

We are $98\%$ confident that boys grew between $2.8$ to $4.3\text{ inches}$ from the age of thirteen to fourteen.

C

We are $98\%$ confident that the average height that boys grew in this study was between $2.8$ to $4.3\text{ inches}$.

D

The average height a boy grew from the age of thirteen to fourteen was between $2.8$ to $4.3\text{ inches}$ $98\%$ of the time.

E

We are $98\%$ confident the average height that boy grew from the ages of thirteen to fourteen was between $2.8$ to $4.3\text{ inches}$.

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