statistics

posted by .

A vending machine is designed to dispense a mean of 7.6 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

a) dispense less than 7.0 oz.

b) result in the cup overflowing (therefore dispense more than 8 oz).

  • statistics -

    Z = (score-mean)/SD

    Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportions related to the Z scores. Multiply the proportion by 100 to get the percentage.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. intro to statistics

    a vending machine dispenses coffee into an 8 oz cup. the amount of coffee dispensed into the cup is normally distributed with a standard deviation of 0.03 oz.you can allow the cup to overfill 1 percent of the time. what among should …
  2. Statistics

    A vending machine dispenses coffee into an eight-ounce cup. The amount of coffee dispensed into the cup is normally distributed with a standard deviation of .03 ounce. You can allow the cup to OVERFILL 1% of the time. What amount should …
  3. Descriptive Statistics

    A vending machine dispenses coffee into a twelve ounce cup. The amount of coffee dispensed into the cup is normally distributed with a standard deviation of 0.04 ounces. You can allow the cup to overfill 10% of the time. What amount …
  4. statistics

    A vending machine dispenses coffee into a sixteen ounce cup. The amount of coffee dispensed into the cup is normally distributed with a standard deviation of 0.03 ounces. You can allow the cup to overfill 10% of the time. What amount …
  5. Statistics

    A vending machine dispenses coffee into a twelve-ounce cup. The amount of coffee dispensed in to the cup is normally distributed with a standard deviation of .08 ounce. You can allow the cup to overfill 2% of the time. What amount …
  6. Introduction to statistics

    A vending machine dispenses coffee into an eight-ounce cup. The amount of coffee dispensed into the cup is normally distributed with a standard deviation of .03 ounce. You can allow the cup to OVERFILL 1% of the time. What amount should …
  7. statistics

    A vending machine dispenses coffee into a twelve-ounce cup. The amount of coffee dispensed into the cup is normally distributed with a standard deviation of 0.05 ounce. You can allow the cup to overfill 4% of the time. What amount …
  8. statistics

    a vending machine dispenses coffee into an 8 oz cup. the amount of coffee dispensed into the cup is normally distributed with a standard deviation of 0.03 oz.you can allow the cup to overfill 5 percent of the time. what amont should …
  9. statistics

    A vending machine dispenses coffee into a twelve-ounce cup. The amount of coffee dispensed into the cup is normally distributed with a standard deviation of 0.07 ounce. You can allow the cup to overfill 2% of the time. What amount …
  10. mathematics

    a drinks machine dispenses coffee into cups. A sign on the machine indicates that each cup contains 50 ml of coffee. the machine actually dispenses a mean amount of 55ml per cup and 10% of the cups contain less than the amount stated …

More Similar Questions