Ask Question
24 August, 17:03

Scores on a standardized exam are normally distributed with a mean of 63 and a standard deviation of 7. Consider a group of 6000 students. Approximately how many students will score less than 71 on the exam?

+2
Answers (1)
  1. 24 August, 17:08
    0
    5238 students

    Step-by-step explanation:

    Finding the z-score:

    z = (x - μ) / σ

    Let x be the value to be evaluated, which is 71. μ is the mean, σ is the standard deviation, which is 7. replacing we are left with:

    z = (71 - 63) / 7

    z = 1.14

    Using a z-score table or calculator:

    P (z <1.14) = 0.8729

    87.29% of 6000 is:

    0.8729 * (6000) = 5237.4

    Rounding off we have approximately 5238 students
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “Scores on a standardized exam are normally distributed with a mean of 63 and a standard deviation of 7. Consider a group of 6000 students. ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers