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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Chapter 8.2, Problem 59E
Solution

a.

To find: The probability that the circumference of the randomly selected orange is more than 22 cm.

The probability is 0.3085.

Given:

  Population mean(μ)=21.1Standard deviation(σ)=1.8Sample size(n)=20

Calculation:

Consider, X be the random variable that represents the circumference of orange follows the normal distribution with mean = 21.1 cm and standard deviation = 1.8 cm.

The probability that the circumference of the randomly selected orange is more than 22 cm can be calculated as:

  P(X>22)=P(xμσ>2221.11.8)=P(Z>0.5)=1P(Z<0.5)=0.3085

Thus, the required probability is 0.3085.

b.

To find: The probability that the mean circumference of the randomly selected 20 oranges is more than 22 cm.

The probability is 0.012676.

The probability that the mean circumference of the randomly selected 20 oranges is more than 22 cm can be calculated as:

  P(X¯>22)=P(x¯μσn>2221.11.820)=P(Z>2.236)=1P(Z<2.236)=0.012676

Thus, the required probability is 0.012676.

Chapter 8 Solutions

PRACTICE OF STATISTICS F/AP EXAM

Ch. 8.1 - Prob. 11ECh. 8.1 - Prob. 12ECh. 8.1 - Prob. 13ECh. 8.1 - Prob. 14ECh. 8.1 - Prob. 15ECh. 8.1 - Prob. 16ECh. 8.1 - Prob. 17ECh. 8.1 - Prob. 18ECh. 8.1 - Prob. 19ECh. 8.1 - Prob. 20ECh. 8.1 - Prob. 21ECh. 8.1 - Prob. 22ECh. 8.1 - Prob. 23ECh. 8.1 - Prob. 24ECh. 8.1 - Prob. 25ECh. 8.1 - Prob. 26ECh. 8.1 - Prob. 27ECh. 8.1 - Prob. 28ECh. 8.2 - Prob. 29ECh. 8.2 - Prob. 30ECh. 8.2 - Prob. 31ECh. 8.2 - Prob. 32ECh. 8.2 - Prob. 33ECh. 8.2 - Prob. 34ECh. 8.2 - Prob. 35ECh. 8.2 - Prob. 36ECh. 8.2 - Prob. 37ECh. 8.2 - Prob. 38ECh. 8.2 - Prob. 39ECh. 8.2 - Prob. 40ECh. 8.2 - Prob. 41ECh. 8.2 - Prob. 42ECh. 8.2 - Prob. 43ECh. 8.2 - Prob. 44ECh. 8.2 - Prob. 45ECh. 8.2 - Prob. 46ECh. 8.2 - Prob. 47ECh. 8.2 - Prob. 48ECh. 8.2 - Prob. 49ECh. 8.2 - Prob. 50ECh. 8.2 - Prob. 51ECh. 8.2 - Prob. 52ECh. 8.2 - Prob. 53ECh. 8.2 - Prob. 54ECh. 8.2 - Prob. 55ECh. 8.2 - Prob. 56ECh. 8.2 - Prob. 57ECh. 8.2 - Prob. 58ECh. 8.2 - Prob. 59ECh. 8.2 - Prob. 60ECh. 8.3 - Prob. 61ECh. 8.3 - Prob. 62ECh. 8.3 - Prob. 63ECh. 8.3 - Prob. 64ECh. 8.3 - Prob. 65ECh. 8.3 - Prob. 66ECh. 8.3 - Prob. 67ECh. 8.3 - Prob. 68ECh. 8.3 - Prob. 69ECh. 8.3 - Prob. 70ECh. 8.3 - Prob. 71ECh. 8.3 - Prob. 72ECh. 8.3 - Prob. 73ECh. 8.3 - Prob. 74ECh. 8.3 - Prob. 75ECh. 8.3 - Prob. 76ECh. 8.3 - Prob. 77ECh. 8.3 - Prob. 78ECh. 8.3 - Prob. 79ECh. 8.3 - Prob. 80ECh. 8.3 - Prob. 81ECh. 8.3 - Prob. 82ECh. 8.3 - Prob. 83ECh. 8.3 - Prob. 84ECh. 8.3 - Prob. 85ECh. 8.3 - Prob. 86ECh. 8 - Prob. R8.1RECh. 8 - Prob. R8.2RECh. 8 - Prob. R8.3RECh. 8 - Prob. R8.4RECh. 8 - Prob. R8.5RECh. 8 - Prob. R8.6RECh. 8 - Prob. R8.7RECh. 8 - Prob. R8.8RECh. 8 - Prob. R8.9RECh. 8 - Prob. T8.1SPTCh. 8 - Prob. T8.2SPTCh. 8 - Prob. T8.3SPTCh. 8 - Prob. T8.4SPTCh. 8 - Prob. T8.5SPTCh. 8 - Prob. T8.6SPTCh. 8 - Prob. T8.7SPTCh. 8 - Prob. T8.8SPTCh. 8 - Prob. T8.9SPTCh. 8 - Prob. T8.10SPTCh. 8 - Prob. T8.11SPTCh. 8 - Prob. T8.12SPTCh. 8 - Prob. T8.13SPT
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