SOLUTION: A distribution of measurements is relatively mound shaped with a mean of 60 and a standard deviation of 11. Use this information to find the proportion of measurements in the given

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Question 1200355: A distribution of measurements is relatively mound shaped with a mean of 60 and a standard deviation of 11. Use this information to find the proportion of measurements in the given interval
Less than 71
Answer by GingerAle(43) (Show Source):
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**1. Calculate the z-score:**
* z = (X - μ) / σ
* where:
* X is the value we're interested in (71)
* μ is the mean (60)
* σ is the standard deviation (11)
* z = (71 - 60) / 11
* z = 11 / 11
* z = 1
**2. Find the proportion using a z-table:**
* Look up the z-score of 1 in a standard normal distribution table (also known as a z-table).
* The z-table gives the area under the curve to the left of the z-score.
* For z = 1, the area to the left is approximately 0.8413.
**3. Interpret the result:**
* This means that approximately 84.13% of the measurements in the distribution are less than 71.
**Therefore, the proportion of measurements less than 71 is approximately 0.8413 or 84.13%.**