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 49 kilograms and a standard deviation of 1.84 kilograms. 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 no more than 10% of all filled bags weigh more than 54 kilograms? (Round to three decimal places as needed)

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 49 kilograms and a standard deviation of 1.84 kilograms. 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 no more than 10% of all filled bags weigh more than 54 kilograms? (Round to three decimal places as needed)

Name: Doggie Nuggets Inc. (DNI) sells large bags of dog food to warehouse c
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: 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 49 kilograms and astandard deviation

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

adult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the z-score of a man 63.2 inches tall. round to 2 decimal places
The speed of cars on a specific road is normally distributed with a mean of 54 mph and a standard deviation of 3. The top 2.5% of cars are traveling at at least what mph?
The mean gas mileage for a hybrid car is 57 miles per gallon. Suppose that the gasoline mileage is approximately normally distributed with a standard deviation of 3.5 miles per gallon. What proportion of hybrids gets over 61 miles per gallon?
A study of a population showed that males' body temperatures are approximately Normally distributed with a mean of 98.4°F and a population standard deviation of 0.40°F. What body temperature does a male have if he is at the 95th percentile? Draw a well-labeled sketch to support your answer.
In the 1800s, German physician Carl Reinhold, took millions of axillary (i.e. armpit) temperatures from soldiers. This study established that body temperature is normally distributed and the standard normal human body temperature is 98.6°F with a standard deviation of 0.72 °F. In a recent study, American researchers obtained 5,000 axillary temperatures from a Los Angeles hospital. The mean of these temperature readings was 97.9 °F. Assuming a Type I error risk of no more than 5%, did the findings support the theory that human, body temperature has decreased since the 1800s? What is the Z crit?
An automobile manufacture builds brakes with a specific diameter. The break data is normally distributed with a mean of 14.8 inches and a standard deviation of 1.3 inches. What percent of manufacture brakes have a size between 12.6 inches and 16.4 inches.
The weights of an adult female population of killer whales are approximately normally distributed with a mean of 18,000 pounds and a standard deviation of 4,000 pounds. The weights of an adult male population of killer whales are approximately normally distributed with a mean of 30,000 pounds and a standard deviation of 6,000 pounds. A certain adult male killer whale weighs 24,000 pounds. This adult male would have the same z-score weight as a female killer whale whose weight, in kilograms, is equal to which of the following? Select one: 1. 24,000 2. 30,000 3. 36,000 4. 21,000 5. 14,000
An analyst found that the average amount of money in bank accounts at his/her bank is $2,000 with a standard deviation of $150. What would be the variance?
Adult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the z-score of a man 62 inches tall. (round to 2 decimal places)
The heights of adult men in America are normally distributed, with a mean of 69.6 inches and a standa deviation of 2.61 inches. The heights of adult women in America are also normally distributed, but with mean of 64.7 inches and a standard deviation of 2.56 inches. If a man is 6 feet 3 inches tall, what is his Z-score (to two decimal places)?
It has been reported that the variance of the speeds of drivers on the Turnpike near Somerset, PA is 64 for all vehicles. A driver who was pulled over near Somerset on the pike feels that value is incorrect and conducts a 4. survey of speeds. He finds that the standard deviation of 50 vehicles is 10.5 mph. At a 0.05, is the driver correct? %3D
Low-density lipoprotein, or LDL, is the main source of cholesterol buildup and blockage in the arteries. This is why LDL is known as "bad cholesterol." LDL is measured in milligrams per deciliter of blood, or mg/dL. In a population of adults at risk for cardiovascular problems, the distribution of LDL levels is normal, with a mean of 123 mg/dL and a standard deviation of 41 mg/dL. If an individual's LDL is at least 1 standard deviation or more above the mean, he or she will be monitored carefully by a doctor. What percentage of individuals from this population will have LDL levels 1 or more standard deviations above the mean? Use the 68–95–99.7 rule. (Enter your exact answer as a whole number.) percentage %