A biscuit manufacturer packs its biscuits into individual boxes using a machine. The weight is advertised on each box as 200 grammes. The machine has been operating for many years and is regularly inspected during production to ensure that it is operating correctly. A quality control worker at the factory has used historical data from many previous production runs. It is known that the weight of packed boxes follows a normal distribution with a mean weight of 200 grammes and a standard deviation of 2.1 grammes. During a particular production run, a quality-control worker randomly selects one box and finds that the weight is 208.1 grammes.

Using the empirical rule and the data from the machine’s historical operational performance, determine whether this box weight of 208.1 grammes would be considered usual or unusual.

  1. 👍
  2. 👎
  3. 👁
  1. If you look up an answer from below and follow this it might help you. I am trying to figure out an answer. I'm up late trying to help the math and science students!!

    Please help with Calculus?? - Steve, Friday, November 8, 2013 at 6:46pm
    I think you will be able to answer these questions if you play around a bit at

    1. 👍
    2. 👎
  2. Macdavie Maseko, If you are there...this is a link that leads you to a site on the computer and it will allow you to see it work in action. It is very cool. Go to the page below these answers here, where it says "RELATED QUESTIONS". Click on the first question, of Please help with Calculus?? Then go to Steve, Friday Nov 8, 2013 and click on his link. Have fun!!!

    1. 👍
    2. 👎
  3. answer

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    a certain brand of powdered milk is advertised as having a net weight of 250 grams. if the net weights of a random sample of 10 cans are 253, 248, 252, 245, 247, 249, 251, 250, 247, 248 grams. can it be concluded that the average

  2. Maths

    Tom is putting cartons of ice-cream in one of the freezers. There are 13 boxes and each box contains 24 cartons. How many cartons of ice-cream are there in total? He then unpacks 192 packs of frozen peas from 8 boxes. How many

  3. math

    Use the table to answer each question. Note: Round z-scores to the nearest hundredth and then find the required A values using the table. The weights of all the boxes of corn flakes filled by a machine are normally distributed,

  4. statistics

    a manufacturer of detergent claims that the contents of the boxes in the market weigh on average at least 16 oz.. the distribution of weights is known to be normal with a standard deviation of 0.4 oz. to test the claim of the

  1. math

    A manufacturer of hospital supplies has a uniform annual demand for 320,000 boxes of bandages. It costs ​$10 to store one box of bandages for one year and $ 160 to set up the plant for production. How many times a year should

  2. math

    Jonah needs to purchase 30 juice packs for his class. While shopping,Jonah discovers the following prices for comparable juice packs. Which offers the best unit price? A- 15 packs for $3.95****** B- 5 packs for $2.20 C- 20 packs

  3. math- im really confused! please help!!

    A company makes three products X, Y and Z. Each product requires processing by three machines A, B and C. The time required to produce one unit of each product is shown below. Product X:- Machine A: 1 Machine B: 2 Machine C: 2

  4. mathematics

    according to a manufacturer, the average weight of a cereal box they produced is 20 ounces with a standard deviation of 0.5 ounce. a) if a random sample of 1000 boxes are selected, what is the probability that the weight is less

  1. algebra

    During a manufacturing process, a metal part in a machine is exposed to varying temperature conditions. The manufacturer of the machine recommends that the temperature of the machine part remain below 141°F. The temperature T in

  2. math

    The manager of a snack bar buys bottled water in packs of 35 and candy bars in packs of 20. Then, she sells the items individually. Yesterday, she bought the same number of water bottles as candy bars to sell at the snack bar. If

  3. Algebra

    A landscaping company sells 40-pound bags of top soil. The actual weight x of a bag, however, may differ from the advertised weight by as much as 0.75 pound. Write an inequality involving absolute value that expresses the

  4. Maths

    A)One packet of biscuits cost $x and one cup of ice cream $y B)One packet of biscuits and two cups of ice cream cost $8.00, while three packets of biscuits and one cup ice cream cost $9.00 1) write a pair of simultaneous equations

You can view more similar questions or ask a new question.