Question

Show ALL work neatly, Need it ASAP, Will UPVOTE for sure

A soft-drink machine is regulated so that it discharges an
average of 6.5 ounces per cup. The amount of drink is normally
distributed with a standard deviation equal to 0.6 ounces,

Part 1: (3 points ) What is the probability
that a cup will contain more than 7.45 ounces?

Part 2: (3 points ) What is the probability
that a cup contains between 6.45 and 7.06 ounces?

Part 3: (4 points ) Suppose we want to regulate this machine so
that only 5% of the drinks go above a certain value. What should be
that cut off value for this soft-drink machine?

Part 4: The machine is checked periodically by taking a sample of 9
drinks and computing the average content. If falls in
the interval , the machine is thought to be operating
satisfactorily, otherwise, we conclude that ounces.

i) (3 points ) Find the probability of committing a Type I error when ounces.

ii) (3 points ) Find the probability of committing a Type II error when ounces.

Answer #1

A soft-drink machine is regulated so that it discharges an
average of 6.6 ounces per cup. The amount of drink is normally
distributed with a standard deviation equal to 0.5 ounces.
Part 1: (3 points ) What is the probability that a
cup will contain more than 7.54 ounces?
Part 2: (3 points ) What is the probability that a cup
contains between 6.54 and 7.06 ounces?
Part 3: (4 points ) Suppose we want to regulate this machine so
that only...

A soft-drink machine is regulated so that it discharges an average of 250 milliliters per cup. If the amount of drink is normally distributed with a standard deviation equal to 20 milliliters,
a) What fraction of the cups will contain more than 264 milliliters?
b) How many cups will probably overflow if 270-milliliter cups are used for the next eight thousand drinks?
c) Above what value do we get the largest 28% drinks?

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 28 minutes ago

asked 40 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago