Question

(d) Before the test, the teacher gave a review assignment for homework. The maximum score on the
assignment was 10 points. The distribution of scores on this assignment had a mean of 9.2 points
and a standard deviation of 2.1 points. Would it be appropriate to use a Normal distribution to
calculate the proportion of students who scored below 7 points on this assignment? Explain.

Answer 1

Using statistical concepts, it is found that the distribution is not symmetric, and thus, it would not be appropriate to use a normal distribution to calculate the proportion of students who scored below 7 points on this assignment.

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• The Empirical Rule states that in a normal distribution, 68% of the measures are within 1 standard deviation of the mean, 95% within 2 and 99.7% within 3.
• In this problem, the mean is of 9.2 and the standard deviation is of 2.1.

Thus, 68% of the scores would be between:

9.2 - 2.1 = 7.1 and 9.2 + 2.1 = 11.3

However, 11.3 is greater than the maximum score of 10, thus the distribution is not symmetric, which means that the normal distribution does not apply.

A similar problem is given at https://brainly.com/question/21507500