Question

The fill amount of bottles of a soft drink is normally​ distributed, with a mean of...

The fill amount of bottles of a soft drink is normally​ distributed, with a mean of 1.0 liter and a standard deviation of 0.04 liter. Suppose you select a random sample of 25 bottles.

a. What is the probability that the sample mean will be between .99 and 1 liter​?

b. What is the probability that the sample mean will be below 0.98 liter​?

c. What is the probability that the sample mean will be greater than 1.01

​liters?

d. The probability is 90​% that the sample mean amount of soft drink will be at least how​ much?

e. The probability is 90​% that the sample mean amount of soft drink will be between which two values​ (symmetrically distributed around the​ mean)?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

b) Answer: ---- (0.0062)

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The fill amount in 1​-liter soft drink bottles is normally​ distributed, with a mean of 1.0...
The fill amount in 1​-liter soft drink bottles is normally​ distributed, with a mean of 1.0 liter and a standard deviation of 0.05 liter. If bottles contain less than 95​% of the listed net content ​(0.95 ​liters, in this​ case), the manufacturer may be subject to penalty by the state office of consumer affairs. Bottles that have a net content above 1.08 liters may cause excess spillage upon opening. In an effort to reduce the number of bottles that contain...
Please show work in excel The fill amount of soft drink bottles is normally distributed, with...
Please show work in excel The fill amount of soft drink bottles is normally distributed, with a mean of 2.0 liters and a standard deviation of 0.05 liter.If bottles contain less than 95% of the listed net content (1.90liters, in this case), the manufacturer may be subject to penalty by the state office of consumer affairs. Bottles that have a net content above 2.10 liters may cause excess spillage upon opening. What proportion of the bottles will contain a. between...
A soft drink company fills two-liter bottles on several different lines of production equipment. The fill...
A soft drink company fills two-liter bottles on several different lines of production equipment. The fill volume of its new machine is normally distributed with a mean of 2.01 liters and a variance of 0.04 liter2 . a) Find the probability that a randomly selected two-liter bottle would contain between 1.98 and 2.06 liters. b) The company want to define a minimum threshold of the fill volume so it can guarantee to their customers that 85% of their bottles are...
The amount of fill in a half-liter (500 ml) soft drink bottle is normally distributed. The...
The amount of fill in a half-liter (500 ml) soft drink bottle is normally distributed. The process has a standard deviation of 7.0 ml. The mean is adjustable. (a) Where should the mean be set to ensure a 90 percent probability that a half-liter bottle will not be underfilled? (Round your answer to 2 decimal places.) Mean ml (b) Where should the mean be set to ensure a 95 percent probability that a half-liter bottle will not be underfilled? (Round...
The contents of soft drink bottles are normally distributed with a mean of 12 ounces and...
The contents of soft drink bottles are normally distributed with a mean of 12 ounces and a standard deviation of 0.2 ounce. Use excel to get answers (a) what is the probability that a random selected bottle will contain less than 11.5 ounces? (b) What is the probability that a randomly selected bottle will contain between 11.5 and 12.5 ounces? (c) What is the probability that a randomly selected bottle will contain more than 12.5 ounces? (d) What is the...
A soft drink company has recently received customer complaints about its one-liter-sized soft drink products. Customers...
A soft drink company has recently received customer complaints about its one-liter-sized soft drink products. Customers have been claiming that the one-liter-sized products contain less than one liter of soft drink. The company has decided to investigate the problem. According to the company records, when there is no malfunctioning in the beverage dispensing unit, the bottles contain 1.02 liters of beverage on average, with a standard deviation of 0.16 liters. A sample of 60 bottles has been taken to be...
The volume of soft drink in plastic bottles is a normal random variable with mean 16...
The volume of soft drink in plastic bottles is a normal random variable with mean 16 ounces and a standard variable deviation 0.6 ounce. For all possible random samples of 25 bottles, what is the shape of the sampling distribution of the sample means? What is the likelihood that in a random sample of 25 bottles the mean volume is more than 14.5 ounces? What is the probability that in a random sample of 25 bottles the mean volume is...
The volume of soft drink in a 1-litre bottle is normally distributed. The soft drink company...
The volume of soft drink in a 1-litre bottle is normally distributed. The soft drink company needs to calibrate its filling machine. They don’t want to put too much soft drink into each bottle, as it adds to their expense. However, they know they will be fined if more than 2% of bottles are more than 2 millilitres under volume. The standard deviation of the volume dispensed by the filling machine is 2.5 millilitres. What should they choose as the...
6. Practice with normal – draw graphs with correct area shaded in and proper x and...
6. Practice with normal – draw graphs with correct area shaded in and proper x and z axes. Use the tables I handed out in class. If you do not have such tables, google a set to use. To have tables similar to those I gave you, go back to the assignment where one is attached.) The fill amount in 2-liter soft drink bottles is normally distributed with a mean of 2.0 liters and a mean of 0.05 liters. If...
The amounts a soft drink machine is designed to dispense for each drink are normally distributed,...
The amounts a soft drink machine is designed to dispense for each drink are normally distributed, with the mean of 11.0 fluid ounces and a standard deviation of 0.3 fluid ounce. A drink is randomly selected. (a) Find the probability that the drink is than 11.7 fluid ounces. (b) Find the probability that the drink is between 11.5 and 11.7 ounces (c) Find the probability that the drink is more than 12.4 fluid ounces. Can this be considered an unusual...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT