On the distant planet Cowabunga , the weights of cows have a normal distribution with a mean of 526 pounds and a standard deviation of 49 pounds. The cow transport truck holds 11 cows and can hold a maximum weight of 6083. If 11 cows are randomly selected from the very large herd to go on the truck, what is the probability their total weight will be over the maximum allowed of 6083? (This is the same as asking what is the probability that their mean weight is over 553.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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On the distant planet Cowabunga , the weights of cows have a normal distribution with a mean of 526 pounds and a standard deviation of 49 pounds. The cow transport truck holds 11 cows and can hold a maximum weight of 6083. If 11 cows are randomly selected from the very large herd to go on the truck, what is the probability their total weight will be over the maximum allowed of 6083? (This is the same as asking what is the probability that their mean weight is over 553.)

(Give answer correct to at least three decimal places.)
probability = 

 

Eleanor scores 680 on the mathematics part of the SAT. The distribution of SAT math scores in recent years has been Normal with mean 502 and standard deviation 84.

Gerald takes the ACT Assessment mathematics test and scores 27. ACT math scores are Normally distributed with mean 24.5 and standard deviation 3.8.

  1. What is Elanor's standardized score?

     Round to 2 decimal places.

  2. What is Gerald's standardized score?

     Round to 2 decimal places.

  3. Assuming that both tests measure the same kind of ability, who has the higher score?

     
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