2.5.7 ¡ Question Help Suppose 120 geology students measure the mass of an ore sa

Question

2.5.7 ¡ Question Help Suppose 120 geology students measure the mass of an ore sample. Due to human error and limitations in the reliability of the balance, not all the readings are equal. The results are found to closely approximate a normal curve, with mean 86 g and standard deviation 1 g. Use the symmetry of the normal curve and the empirical rule as needed to estimate the number of students reporting readings more than 86 g Click here to see page 1 of the table for areas under the standard normal curve. in The number of students reporting readings more than 86 g is (Round to the nearest whole number as needed.)

Explanation / Answer

Mean = 86 Standard deviation = 1

P(x > 86)

= P(z > (86 - 86) / 1)

= P(z > 0)

Since the curve is symmetric, there are 50% values on either side of the mean.

50% of 120 = 60.

Therefore, the number of students reporting readings more than 86g is 60.

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