A statistics exam has a normal distribution of scores with mean  equals 68 and standard deviation  equals 10.  Find the ff. probabilities: P ( X > 64) P ( X < 55) P ( 48 < X < 70)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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A statistics exam has a normal distribution of scores with mean  equals 68 and standard deviation  equals 10.  Find the ff. probabilities:

  1. P ( X > 64)
  2. P ( X < 55)
  3. P ( 48 < X < 70)

IF WE PICK RANDOM SAMPLES FROM THE POPULATION OF EXAM TAKERS WITH SAMPLE SIZE n = 36:

  1. Solve for standard error of means.
  2. Graph the sampling distribution of means.
  3. Find the following probabilities. Include a graphical solution for each item:
  • P (X-bar > 64)
  • P (57.6 < X-bar < 63.2)
  • P (54 < X-bar < 56)

Suppose you picked a random sample which yielded X-bar = 69.35. Find the 95% confidence interval for mu using this statistic. 

 

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