The distribution of scores on Dr. X\'s final exam is normal, with a mean of 80 p

ID: 3376174 • Letter: T

Question

The distribution of scores on Dr. X's final exam is normal, with a mean of 80 points and a standard deviation of 7 points.

The distribution of scores on Dr. Y's exam is also normal, with a mean of 80 points and a standard deviation of 20 points.

Think about what you learned about the 68-95-99.7% rule. Use this rule to fill in the blanks.

In Dr. X's course we expect:

68% of the exam scores will fall between ________ and ________

95% of the exam scores will fall between ________ and ________

99.7% of the exam scores will fall between _______ and ________

in Dr. Y's course we expect:

68% of the exam scores will fall between ________ and ________

95% of the exam scores will fall between ________ and ________

99.7% of the exam scores will fall between _______ and ________

According to Emperical rule

68% of the data will fall within one standard deviation from mean.

95% of the data will fall within two standard deviation from mean.

99.7% of the data will fall within three standard deviation from mean.

So according to this for Dr. X's course we expect

68% of the exam scores will fall between 80 - 7 = 73 and 80 + 7 = 87

95% of the exam scores will fall between 80 - 14 = 66 and 80 + 14 = 94

99.7% of the exam scores will fall between 80 - 21 = 59 and 80 + 21 = 101

In Dr. Y's course we expect

68% of the exam scores will fall between 80 - 20 = 60 and 80 + 20 = 100

95% of the exam scores will fall between 80 - 40 = 40 and 80 + 40 = 120

99.7% of the exam scores will fall between 80 - 60 = 20 and 80 + 60 = 140

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