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The distribution of scores on a recent test closely followed a Normal distribution with a mean of 22 points and a standard deviation of 4

The distribution of scores on a recent test closely followed a Normal distribution with a mean of 22 points and a standard deviation of 4 points. The teacher wants to transform the test scores so that they have an approximately Normal distribution with a mean of 80 points and a standard deviation of 10 points. To do this,she will use a formula in the form: new score= a + b (old score). Find the values of a and b that the teacher should use to transform the distribution of test scores.

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