RESEARCH METHODOLOGY

STATISTICAL TECHNIQUES AND TOOLS

SAMPLING DISTRIBUTION

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
The weights of the eggs produced by a certain breed of hen are normally distributed with mean 65 grams and standard deviation of 5 grams. What is the probability that the average weight of a dozen eggs selected at random will be more than 68 grams?
A
0.01866
B
0.8078
C
0.1922
D
0.2743
E
0.7257
Explanation: 

Detailed explanation-1: -The weights of eggs produced on a farm are normally distributed with a mean of 1.4 ounces and a standard deviation of 0.4 ounces. To be graded extra large, an egg must weigh at least 2 ounces.

Detailed explanation-2: -The weight of an egg varies between 50 and 70 g depending mainly on the age of the hen and, to a lesser extent, on its genotype. Egg weight increases with hen age, thereby increasing the heterogeneity of this product.

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