The time needed for college students to complete a certain paper and pencil maze follows a Normal distribution, with a mean of 80 seconds and a standard deviation of 6 seconds. You wish to see if the mean time is changed by meditation, so you have a group of 8 college students meditate for 30 minutes and then complete the maze. It takes them an average of = 74 seconds to complete the maze. Use this information to test the hypotheses H 0: = 80, H a: 80 at significance level = 0.02. You conclude that: a.H0 should not be rejected. b.Ha should be accepted. c.H0 should be rejected. d.this is a borderline case and no decision should be made. The scores on the Wechsler Adult Intelligence Scale are approximately Normal, with = 100 and = 11. The proportion of adults with scores above 110 is closest to: a.0.14. b.0.25. c.0.33. d.0.18.

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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 26PFA

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The time needed for college students to complete a certain paper and pencil maze follows a Normal distribution, with a mean of 80 seconds and a standard deviation of 6 seconds. You wish to see if the mean time is changed by meditation, so you have a group of 8 college students meditate for 30 minutes and then complete the maze. It takes them an average of = 74 seconds to complete the maze. Use this information to test the hypotheses H ₀: = 80, H _a: 80 at significance level = 0.02. You conclude that:

a.
H₀ should not be rejected.

b.
H_a should be accepted.

c.
H₀ should be rejected.

d.
this is a borderline case and no decision should be made.
1. The scores on the Wechsler Adult Intelligence Scale are approximately Normal, with = 100 and = 11. The proportion of adults with scores above 110 is closest to:
  
  a.
  0.14.
  
  b.
  0.25.
  
  c.
  0.33.
  
  d.
  0.18.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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