Statistics
posted by Ion .
The USDA size standards for eggs are based on weight and are as follows:
SMALL: greater than 43 grams, less than 50 grams
MEDIUM: greater than 50 grams, less than 57 grams
LARGE: greater than 57 grams, less than 64 grams
EXTRA LARGE: greater than 64 grams, less than 71 grams
JUMBO: greater than 71 grams.
The output of a particular egg farm has a mean weight of 62 grams with a standard deviation of 8 grams. What is the percentage of egg output of this farm in each size category?

Z = (score  mean)/standard deviation
Small eggs are between 4350 grams.
(4362)/8 ≤ Small eggs ≤ (5062)/8
Look up these two z scores in table in back of your stat text labeled something like "areas under normal distribution" to find proportion between these two points. Convert to percentage.
Do the same with the other categories.
I hope this helps.
Respond to this Question
Similar Questions

Statistics
Please help, need advise. Thanks A The amount of pyridoxine (in grams) in a multiple vitamin is normally distributed with = 110 grams and = 25 grams. What is the probability that a randomly selected vitamin will contain less than 100 … 
Programming
Submit pseudocode and a flowchart for the following programming exercise: Fat Gram Calculator Design a program that asks for the number of fat grams and calories in a food item. Validate the input as follows:  Make sure the number … 
stat
1. The amount of pyridoxine (in grams) per multiple vitamin is normally distributed with = 110 grams and = 25 grams. A sample of 25 vitamins is to be selected. So, 95% of all sample means will be greater than how many grams? 
Computer programming
Submit pseudocode for the following programming exercise: Fat Gram Calculator Design a program that asks for the number of fat grams and calories in a food item. Validate the input as follows:  Make sure the number of fat grams and … 
statistics
2 Packets of crisps from a production line have a weight distribution that is normal with a mean of 50.0 grams and a standard deviation of 2.0 grams. Samples are taken of size 36. What is the probability that a sample … 
math
13 cents for A 12 cents for B. total protein greater than twelve grams. Total fat less than eight grams. Total grams less than thirty five grams. .5 grams protein and .3 grams fat for A. .6 grams protein and .2 grams fat for B. what … 
stats
A large shipment of Granny Smith apples arrives at a grocery store. Weights of the apples are known to follow a normal distribution with mean 139 grams and standard deviation 9 grams. 1)If you select a random sample of 50 apples, what … 
Calculus
In the next questions, a particle is moving along a horizontal line according to the formula: s=2t^44t^3+2t^21 a) the particle is moving right when A. 0 is less than t is less than 1/2 B. t is greater than 0 C. t is greater than … 
statistics
A particular fruit's weights are normally distributed, with a mean of 594 grams and a standard deviation of 16 grams. If you pick a fruit at random, then 18% of the time, their mean weight will be greater than how many grams? 
Mathematics
a retailing entrepreneur sells sophisticated running shoes whose weights are normally distributed with mean of 12 grams and a standard deviation of 0,5 grams. (a) what is the probability that a shoe weighs more than 13 grams (b) what …