Statistics Through Applications
Statistics Through Applications
2nd Edition
ISBN: 9781429219747
Author: Daren S. Starnes, David Moore, Dan Yates
Publisher: Macmillan Higher Education
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Chapter 3, Problem 3.47RE

(a)

To determine

To Calculate: the percent of the students spent between $215 and $395 on text-books that quarter.

(a)

Expert Solution
Check Mark

Answer to Problem 3.47RE

68%

Explanation of Solution

The student spent between $215 and $395 is one standard deviation below and above the mean. This is 68% of the students are between $215 and $395.

(b)

To determine

To Calculate: the standard score her and percent of the students spent less than she did on textbooks that quarter.

(b)

Expert Solution
Check Mark

Answer to Problem 3.47RE

Z-score = -0.20

42.07%

Explanation of Solution

Given:

  x=287μ=305σ=90

Formula used:

  z=xμσ

Calculation:

  z=xμσ=28730590=0.20

Raw containing the correct integer 10th of z score (-0.2) and the column containing the corresponding 100th of z score (0.00) so the percent less than the z-score is

0.4207 Or 42.07%

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