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 0.09 ounce. You can allow the cup to overfill 4% of the time. What amount should you set as the mean amount of coffee to be dispensed? Click to view page 1 of the table. Click to view page 2 of the table. |ounces (Round to two decimal places as needed.)
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
![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 0.09
ounce. You can allow the cup to overfill 4% of the time. What amount should you set as the mean amount of coffee to be dispensed?
Click to view page 1 of the table. Click to view page 2 of the table.
ounces
(Round to two decimal places as needed.)
ents
esour](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F205b2cd6-e70b-4345-bd2f-b8adaf774265%2F847a7966-e642-43d7-ad77-dcd9dbd8c3fe%2Fxu4nabp_processed.jpeg&w=3840&q=75)
![The pregnancy length in days for a population of new mothers can be approximated by a normal distribution with a mean of 269 days and a standard deviation of 9 days.
(a) What is the minimum pregnancy length that can be in the top 11% of pregnancy lengths?
(b) What is the maximum pregnancy length that can be in the bottom 4% of pregnancy lengths?
(a) The minimum pregnancy length is days.
(Round to one decimal place as needed.)
ntents](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F205b2cd6-e70b-4345-bd2f-b8adaf774265%2F847a7966-e642-43d7-ad77-dcd9dbd8c3fe%2F6qwvq4k_processed.jpeg&w=3840&q=75)
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