stats

posted by .

A company that manufactures and bottles apple juice has a machine that automatically fills 16-ounce bottles. There is some variation, however, in the exact amount of juice dispensed into each bottle. From a large number of observations taken over a long period of time, it was found that the actual amount of juice dispensed into each bottle was normally distributed with a mean of 16 ounces and a standard deviation of 1 ounce. Find the percentage of all bottles that are either underfilled or overfilled by at least 0.25 ounce.

  • stats -

    Z = (score-mean)/SD

    Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion related to the Z score. Remember to calculate for both directions.

  • stats -

    40.13

  • stats -

    38.30%

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math-Value of Mean

    A brewery has a beer dispensing machine that dispenses beer into the company's 12 ounce bottles. The distribution for the amount of beer dispensed by the machine follows a normal distribution with a standard deviation of 0.13 ounce. …
  2. Statistics

    A machine is used to fill soda bottles in a factory. The bottles are labeled as containing 2.0 liters, but extra room at the top of the bottle allows for a maximum of 2.25 liters of soda before the bottle overflows. The standard deviation …
  3. math

    jasmine bought 6 gallons of apple juice. after filling up 4 bottles of the same size with apple juice, she has 0.3 gallons of apple juice left. hhow many gallons of apple juice are in each container?
  4. Math

    Marco bougth 2 botones of juice.Each botarle is 48 ounces . How many 8 ounces glasses of juice ca Marco pour from the two bottles .?
  5. Math

    The Smith family drinks 1 4/5 liters of apple juice each day. The apple juice is packed in 2-liter bottles. How many bottles does Mrs. Smith need to buy every week?
  6. math

    The smith family drinks 1 4/5 liters of apple juice each day. the apple juice comes in a 2 liter bottle. How many bottles does mrs. smith need to buy every week?
  7. Math

    A truck is carrying pear juice, cherry juice, and apple juice bottles in a ratio of 3:1:3, If there are 16 cherry juice bottles how many juice bottles in all?
  8. Statistics

    A machine fills 12 ounce bottles with soda. For the machine to function properly, the standard deviation of the sample must be less than or equal to 0.02 ounce. A sample of 8 bottles is selected, and the number of ounces of soda in …
  9. math

    A bottle of Harvest Time Apple Juice contains 64 oz. and costs 2 bottles for $1.98. Farm Fresh Apple Juice is available in bottles that contain 1 gallon and sells for $1.88 per bottle. Which is the better buy?
  10. Math

    A manufacturer claims that the mean amount of juice in its 16 ounce bottles is 16.2 ounces. A consumer advocacy group wants to determine whether the mean amount is actually less than this. The mean volume of juice for a random sample …

More Similar Questions