Doggie Nuggets Inc. (DNI) sells large bags of dog food to warehouse clubs. DNI uses an automatic filling process to fill the bags. Weights of the filled bags are approximately normally distributed with a mean of 34 kilograms and a standard deviation of 1.74 kilograms. Completeparts a through d below.a. What is the probability that a filled bag will weigh less than 33.8 kilograms?The probability is 0.4542.(Round to four decimal places as needed.)b. What is the probability that a randomly sampled filled bag will weigh between 33.6 and 35 kilograms?The probability is 0.3066.(Round to four decimal places as needed.)c. What is the minimum weight a bag of dog food could be and remain in the top 8% of all bags filled?CThe minimum weight is 36.453 kilograms.(Round to three decimal places as needed.)d. DNI is unable to adjust the mean of the filling process. However, it is able to adjust the standard deviation of the filling process. What would the standard deviation need to be so that 8% of all filled bags weigh more than 36 kilograms?kilograms.The standard deviation would need to be(Round to three decimal places as needed.)

Given that. X~N( μ , ?) μ=34 , ?=1.74 Z-score =( x - μ )/?

(Round to three decimal places as needed.) d. DNI is unable to adjust the mean of the filling process. However, it is able to adjust the standard deviation of the filling process. What would the standard deviation need to be so that 8% of all filled bags weigh more than 36 kilograms? kilograms. The standard deviation would need to be (Round to three decimal places as needed.)

(Round to three decimal places as needed.) d. DNI is unable to adjust the mean of the filling process. However, it is able to adjust the standard deviation of the filling process. What would the standard deviation need to be so that 8% of all filled bags weigh more than 36 kilograms? kilograms. The standard deviation would need to be (Round to three decimal places as needed.)

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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