The normal modelN(58, 21) describes the distribution of weights of chicken eggs in grams.Suppose that the weight of a randomly selected chicken egg has a z-score of 1.78. What is theweight of this egg in grams? Round to the nearest hundredth of a gram.

A) 65.25 grams
B) 79.50 grams
C) 95.38 grams
D) 89.50 grams

Question

The normal modelN(58, 21) describes the distribution of weights of chicken eggs in grams.Suppose that the weight of a randomly selected chicken egg has a z-score of 1.78. What is theweight of this egg in grams? Round to the nearest hundredth of a gram.

A) 65.25 grams
B) 79.50 grams
C) 95.38 grams
D) 89.50 grams

Quizplus · Accepted Answer

The z-score formula is z = (X - μ) / σ. Solving for X gives X = z * σ + μ. Substituting z = 1.78, μ = 58, and σ = 21, we get X = 1.78 * 21 + 58 = 95.38 grams.

The Normal ModelN(58, 21) Describes the Distribution of Weights of Chicken