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A math teacher claims that she has developed a review course that increases the scores of...

A math teacher claims that she has developed a review course that increases the scores of students on the math portion of a college entrance exam. Based on data from the administrator of the​ exam, scores are normally distributed with

mu equalsμ=517517.

The teacher obtains a random sample of

18001800

​students, puts them through the review​ class, and finds that the mean math score of the

18001800

students is

523523

with a standard deviation of

116116.

Complete parts​(a) through​ (d) below.

​(a) State the null and alternative hypotheses. Let

muμ

be the mean score. Choose the correct answer below.

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