Chicken eggs weights are approximately normally distributed with a mean of 2.01 ounces and a standard deviation of 0.25 ounces.
Use the Empirical Rule to determine what range of weights account for the middle 68%,95%,99.7% of eggs.
68% of eggs have weights between
95% of eggs have weights between .
99.7% of eggs have weights between.
Suppose you have an egg that weighs 2.3 ounces.
(a) What is the z-score for the egg's weight?
(b) What percentage of eggs weigh 2.3 ounces or less?
(c) What percentage of eggs weigh more?
3. Suppose a second egg weighs 1.95 ounces.
(a) What is the z-score for the egg's weight?
(b) What percentage of eggs weigh less?
What percentage of eggs weigh between 1.95 and 2.3 ounces?
What is the weight of an egg that weighs more than 90% of other eggs?
2.33 ounces
The USDA classifies egg sizes by minimum weight per dozen as follows. Work out the average single egg weight for each size class.
able[[Class,Dozen Weight,Single Egg Weight],[Jumbo,30,],[Extra Large,27,],[Large,24,],[Medium,21,],[Small,18,],[Peewee,15,]]
Chicken eggs weights are approximately normally distributed with a mean of 2.01 ounces and a standard deviation of 0.25 ounces. l. Use the Empirical Rule to determine what range of weights account for the middle 68%,95%,99.7% of eggs.b 68% of eggs have weights between .7/ and Z.L 95% of eggs have weights between 1. 5L and Z. S| 99.7% of eggs have weights between L. 2 C and Z.7. 2. Suppose you have an egg that weighs 2.3 ounces. (a) What is the z-score for the egg's weight? 1.16 (b) What percentage of eggs weigh 2.3 ounces or less? 84.13% (c)What percentage of eggs weigh more? 15.87% 3. Suppose a second egg weighs 1.95 ounces. (a) What is the z-score for the egg's weight? hZO- (b) What percentage of eggs weigh less? 40.53% 4. What percentage of eggs weigh between 1.95 and 2.3 ounces? 43.6% 5. What is the weight of an egg that weighs more than 90% of other eggs? Z.33 ounces 6. The USDA classifies egg sizes by minimum weight per dozen as follows. Work out the average single egg weight for each size class.
Class Dozen Weight Single Egg Weight Jumbo 30 Extra Large 27 Large 24 Medium 21 Small 18 Peewee 15