Question

A set of data following a normal distribution has a mean of 192.3 and a standard deviation of 11.8. Find the probability that a randomly selected value is less than 212.5

Answer 1

Answer: 1. B) 0.0611

2. B) 2.79

3. C) 433.5 and 457.4

4. D) 11.25 and 11.81

5. A) 0.6772

6. C) 0.1379

7. C) 137.8

8. D) 0.9564

9. B) 20 and 25

10. D) 20.29

Step-by-step explanation: 100% for stats quiz (please be aware that not all stats quizzes look the same!)

Answer 2

Answer: 95.64% of the values will be below 212.5 in our set of data.

First, determine the z-score for the expected value of 212.5. The z-score is the number of standard deviations that it is above or below the mean.

(212.5 - 192.3) / 11.8 = 1.71

A score of 212.5 is 1.71 standard deviations above the mean. Now, use a table to find the probability for a z-score of 1.71. The percent is 95.64%.