Imagine a population consisting of 1,500 values that are normally distributed around a mean of 60, which exhibits a standard deviation of 8. To the closest integer, how many values in the population are less than 62?

Question

Quizplus · Accepted Answer

To find the number of values less than 62, we calculate the z-score for 62. The z-score is (62 - 60) / 8 = 0.25. Looking up 0.25 in a standard normal distribution table gives us an area of approximately 0.5987 to the left of 62. Multiplying this by the total population (0.5987 * 1500) gives approximately 898 values.

Imagine a Population Consisting of 1,500 Values That Are Normally