PRACTICE OF STATISTICS F/AP EXAM
PRACTICE OF STATISTICS F/AP EXAM
6th Edition
ISBN: 9781319113339
Author: Starnes
Publisher: MAC HIGHER
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Question
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Chapter 2.2, Problem 61E

(a)

To determine

Proportion of time that Mrs. Starnes take to finish an easy Sudoku puzzle in less than 3 minutes.

(a)

Expert Solution
Check Mark

Answer to Problem 61E

Around 0.0052 of the time does Mrs. Starnes finish an easy Sudoku puzzle in less than 3 minutes.

Explanation of Solution

Given Information:

Time value, x=3minutes

Mean, μ=5.3minutes

Standard deviation, σ=0.9minute

Calculations:

Calculate the z − score,

  z=xμσ=35.30.92.56

Use normal probability table in the appendix, to find the corresponding probability.

See the row that starts with -2.5 and the column that starts with .06 of the standard normal probability table for P(z<2.56) .

  P(x<3)=P(z<2.56)=0.0052

Therefore,

Around 0.0052 of the time does Mrs. Starnes finish an easy Sudoku puzzle in less than 3 minutes.

(b)

To determine

Percentage of time that Mrs. Starnes takes more than 6 minutes to complete an easy puzzle.

(b)

Expert Solution
Check Mark

Answer to Problem 61E

Around 21.77% of the time Mrs. Starnes takes more than 6 minutes to complete an easy puzzle.

Explanation of Solution

Given Information:

Time value, x=6minutes

Mean, μ=5.3minutes

Standard deviation, σ=0.9minute

Calculations:

Calculate the z − score,

  z=xμσ=65.30.90.78

Use normal probability table in the appendix, to find the corresponding probability.

See the row that starts with 0.7 and the column that starts with .08 of the standard normal probability table for P(z<0.78) .

  P(x>6)=P(z>0.78)=1P(z<0.78)=10.7823=0.2177=21.77%

Therefore,

Around 21.77% of the time Mrs. Starnes takes more than 6 minutes to complete an easy puzzle.

(c)

To determine

Percentage of easy Sudoku puzzles completed by Mrs. Starnes between 6 and 8 minutes.

(c)

Expert Solution
Check Mark

Answer to Problem 61E

Around 21.64% of theeasy Sudoku puzzles take Mrs. Starnes between 6 and 8 minutes to complete.

Explanation of Solution

Given Information:

Time value, x=6or8minutes

Mean, μ=5.3minutes

Standard deviation, σ=0.9minute

Calculations:

Calculate the z − score,

  z=xμσ=65.30.90.78

Or

  z=xμσ=85.30.9=3.00

Use normal probability table in the appendix, to find the corresponding probability.

See the row that starts with 0.7 and the column that starts with .08 of the standard normal probability table for P(z<0.78) .

Or

See the row that starts with 3.0 and the column that starts with .00 of the standard normal probability table for P(z<3.00) .

  P(6<x<8)=P(0.78<z<3.00)=P(z<3.00)P(z<0.78)=0.99870.7823=0.2164=21.64%

Therefore,

Around 21.64% of theeasy Sudoku puzzles take Mrs. Starnes between 6 and 8 minutes to complete.

Chapter 2 Solutions

PRACTICE OF STATISTICS F/AP EXAM

Ch. 2.1 - Prob. 11ECh. 2.1 - Prob. 12ECh. 2.1 - Prob. 13ECh. 2.1 - Prob. 14ECh. 2.1 - Prob. 15ECh. 2.1 - Prob. 16ECh. 2.1 - Prob. 17ECh. 2.1 - Prob. 18ECh. 2.1 - Prob. 19ECh. 2.1 - Prob. 20ECh. 2.1 - Prob. 21ECh. 2.1 - Prob. 22ECh. 2.1 - Prob. 23ECh. 2.1 - Prob. 24ECh. 2.1 - Prob. 25ECh. 2.1 - Prob. 26ECh. 2.1 - Prob. 27ECh. 2.1 - Prob. 28ECh. 2.1 - Prob. 29ECh. 2.1 - Prob. 30ECh. 2.1 - Prob. 31ECh. 2.1 - Prob. 32ECh. 2.1 - Prob. 33ECh. 2.1 - Prob. 34ECh. 2.1 - Prob. 35ECh. 2.1 - Prob. 36ECh. 2.1 - Prob. 37ECh. 2.1 - Prob. 38ECh. 2.1 - Prob. 39ECh. 2.1 - Prob. 40ECh. 2.2 - Prob. 41ECh. 2.2 - Prob. 42ECh. 2.2 - Prob. 43ECh. 2.2 - Prob. 44ECh. 2.2 - Prob. 45ECh. 2.2 - Prob. 46ECh. 2.2 - Prob. 47ECh. 2.2 - Prob. 48ECh. 2.2 - Prob. 49ECh. 2.2 - Prob. 50ECh. 2.2 - Prob. 51ECh. 2.2 - Prob. 52ECh. 2.2 - Prob. 53ECh. 2.2 - Prob. 54ECh. 2.2 - Prob. 55ECh. 2.2 - Prob. 56ECh. 2.2 - Prob. 57ECh. 2.2 - Prob. 58ECh. 2.2 - Prob. 59ECh. 2.2 - Prob. 60ECh. 2.2 - Prob. 61ECh. 2.2 - Prob. 62ECh. 2.2 - Prob. 63ECh. 2.2 - Prob. 64ECh. 2.2 - Prob. 65ECh. 2.2 - Prob. 66ECh. 2.2 - Prob. 67ECh. 2.2 - Prob. 68ECh. 2.2 - Prob. 69ECh. 2.2 - Prob. 70ECh. 2.2 - Prob. 71ECh. 2.2 - Prob. 72ECh. 2.2 - Prob. 73ECh. 2.2 - Prob. 74ECh. 2.2 - Prob. 75ECh. 2.2 - Prob. 76ECh. 2.2 - Prob. 77ECh. 2.2 - Prob. 78ECh. 2.2 - Prob. 79ECh. 2.2 - Prob. 80ECh. 2.2 - Prob. 81ECh. 2.2 - Prob. 82ECh. 2.2 - Prob. 83ECh. 2.2 - Prob. 84ECh. 2.2 - Prob. 85ECh. 2.2 - Prob. 86ECh. 2.2 - Prob. 87ECh. 2.2 - Prob. 88ECh. 2.2 - Prob. 89ECh. 2.2 - Prob. 90ECh. 2.2 - Prob. 91ECh. 2.2 - Prob. 92ECh. 2 - Prob. R2.1RECh. 2 - Prob. R2.2RECh. 2 - Prob. R2.3RECh. 2 - Prob. R2.4RECh. 2 - Prob. R2.5RECh. 2 - Prob. R2.6RECh. 2 - Prob. R2.7RECh. 2 - Prob. R2.8RECh. 2 - Prob. R2.9RECh. 2 - Prob. T2.1SPTCh. 2 - Prob. T2.2SPTCh. 2 - Prob. T2.3SPTCh. 2 - Prob. T2.4SPTCh. 2 - Prob. T2.5SPTCh. 2 - Prob. T2.6SPTCh. 2 - Prob. T2.7SPTCh. 2 - Prob. T2.8SPTCh. 2 - Prob. T2.9SPTCh. 2 - Prob. T2.10SPTCh. 2 - Prob. T2.11SPTCh. 2 - Prob. T2.12SPTCh. 2 - Prob. T2.13SPT
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