### Bottling Facility Efficiency ComparisonA water bottling facility has a mean bottling rate of 34.1 thousand bottles per hour with a standard deviation of 2.13 thousand bottles. A nearby cola bottling facility has a mean bottling rate of 25.7 thousand bottles per hour with a standard deviation of 1.63 thousand bottles. One Wednesday from noon to 1:00 p.m., the water bottling facility bottled 37.0 thousand bottles of water, and the cola bottling facility bottled 27.7 thousand bottles of cola. Which facility increased their efficiency more during that hour?**Answer:**- ⭕ The water bottling facility- ⭕ The cola bottling facility- ⭕ Both increased their efficiency by the same amount- ⭕ There is not enough information to determine**Explanation:**To determine which facility increased its efficiency more, we can compare the actual production rates during that specific hour to their respective means, taking into account the standard deviations to see how much they deviate from the norm.

Given information: For Water bottling facility, Mean bottling rate (μ1)=34.1/hourS.D(σ1)=2.13Water…

Answered: A water bottling facility has a mean…

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...

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Similar questions

On the final exam, Jenny’s class had an average of 62.4% with a standard deviation of10.4. If the class has 28 students, how many of them failed the exam? (below 50% is fail)
A vending machine is designed to dispense a mean of 7.4 oz of coffee into an 8-oz cup. If the standard deviation of the amount of coffee dispensed is 0.4 oz and the amount is normally distributed, find the percent of times the machine will dispense less than 7.44 oz
The tallest living man at one time had a height of 244 cm. The shortest living man at that time had a height of 92.3 cm. Heights of men at that time had a mean of 174.73 cm and a standard deviation of 6.23 cm. Which of these two men had the height that was more extreme?
A study compared the weight loss of people on a low-fat diet versus people on a low-carb diet. In a sample of 100 obese people on a low-fat diet the sample mean weight loss as 7.6 pounds with a standard deviation of 3.2 pounds. In another sample of 120 obese people on a low-carb diet the sample mean weight loss was 6.7 pounds with a standard deviation of 3.9 pounds. Write down all formulas and state the hypothesisa) Test the hypothesis, at the 5% level of significance, that there is a difference in the mean weightloss of using the 2 different diets. b) What is the p-value?
The speed of cars driving past Johnson City High School, on 666 Reynolds Rd, were recorded over one school year. The speed limit on that part of Reynolds Rd is 20 mph. The mean of the speed readings was 24.19 mph, with a standard deviation of 3.56 mph.
According to the U.S. Census, the average adult woman is the United States is 65 inches tall and the standard deviation is 3 inches. If Zsike is 67 inches tall, what is her z-score?
A luxury furniture manufacture will make custom furniture for their customers. Pricing is based on the number of hours of skilled labor it takes to make a piece. The time it takes to make a custom couch is normally distributed with an average of 280 hours and a standard deviation of 40 hours. What percent of custom couches take 255 hours or less to make? How long would it take to build a couch that is in the 95th percentile?
The US mean height for adult men is = 68.5 inches, with a standard deviation of = 3 inches. The mean height for adult women is = 62.7 inches, with a standard deviation of = 2.7 inches. Who is taller relative to their gender, a man 75 inches tall, or a woman 68 inches tall?
A particular fruit's weights are normally distributed, with a mean of 609 grams and a standard deviation of 40 grams.The heaviest 20% of fruits weigh more than how many grams?Give your answer to the nearest gram.
6.10 Males 20 to 29 years old have a mean height of 69.4 inches with a standard deviation of 3.5 inches. Females 20 to 29 years old have a mean height of 64.1 inches with a standard deviation of 3.1 inches. Find the standardized variable for the heights of males. Find the standardized variable for the heights of females. For a 68‐inch‐tall person, find the value of the standardized variable for males. For a 68‐inch‐tall person, find the value of the standardized variable for females. Compare your answer with part (c) and comment.
The serum cholesterol levels for men in one age group are normally distributed with a mean of 178.1 and a standard deviation 40.5. All units are in mg/10 mL. Find the 40th The annual precipitation for one city is normally distributed with a mean of 26.8 inches and a standard deviation of 3.2 inches. What precipitation amounts will contain 99.7% of the observations?

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