How hot is the air in the top (crown) of a hot air balloon? Information from Ballooning: The Complete Guide to Riding the Winds, by Wirth and Young (Random House), claims that the air in the crown should be an average of 100°C for a balloon to be in a state of equilibrium. However, the temperature does not need to be exactly 100°C. What is a reasonable and safe range of temperatures? This range may vary with the size and (decorative) shape of the balloon. All balloons have a temperature gauge in the crown. Suppose that 56 readings (for a balloon in equilibrium) gave a mean temperature of x = 97°C. For this balloon, σ ≈ 21°C. (a) Compute a 95% confidence interval for the average temperature at which this balloon will be in a steady-state equilibrium. (Round your answers to one decimal place.) lower limit °C upper limit °C (b) If the average temperature in the crown of the balloon goes above the high end of your confidence interval, do you expect that the balloon will go up or down? Explain. It will go up because hot air will make the balloon rise. It will go down because hot air will make the balloon rise. It will go up because hot air will make the balloon fall. It will go down because hot air will make the balloon fall.

Question

How hot is the air in the top (crown) of a hot air balloon? Information from Ballooning: The Complete Guide to Riding the Winds, by Wirth and Young (Random House), claims that the air in the crown should be an average of 100°C for a balloon to be in a state of equilibrium. However, the temperature does not need to be exactly 100°C. What is a reasonable and safe range of temperatures? This range may vary with the size and (decorative) shape of the balloon. All balloons have a temperature gauge in the crown. Suppose that 56 readings (for a balloon in equilibrium) gave a mean temperature of x = 97°C. For this balloon, σ ≈ 21°C.
(a) Compute a 95% confidence interval for the average temperature at which this balloon will be in a steady-state equilibrium. (Round your answers to one decimal place.)
lower limit
°C
upper limit
°C

(b) If the average temperature in the crown of the balloon goes above the high end of your confidence interval, do you expect that the balloon will go up or down? Explain.
It will go up because hot air will make the balloon rise.
It will go down because hot air will make the balloon rise.
It will go up because hot air will make the balloon fall.
It will go down because hot air will make the balloon fall.

Expert Answer

1 Rating

Want to see the step-by-step answer?

See Answer

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

See Answer
*Response times vary by subject and question complexity. Median response time is 34 minutes and may be longer for new subjects.
Tagged in

Related Statistics Q&A

Find answers to questions asked by student like you
Show more Q&A

Q: Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 69 mile...

A: Solution:The empirical rule for any normal distribution is given below.68% of the observations fall ...

Q: A manufacturer of a chocolate candies uses machines to package candies as they move along a filing l...

A: It is given that sample mean and standard deviation are 8.159 and 0.051, respectively.The test hypot...

Q: The age of a first-grader on September 1 at Garden Elementary School has the following distribution:...

A: a)The probability that she is over 6.5 years old can be calculated:

Q: To boost holiday sales, a jewelry store in Bismark, North Dakota is advertising the following promot...

A: a) The value of z is 1.79  and it is calculated below: Let us define the random variable X as the sn...

Q: In 2008, the Detroit Lions set an NFL record by losing all 16 regular season games. Suppose that the...

A: It is given that n =16.Here, probability of winning an individual game is 0.10.

Q: How can graphics and/or statistics be used to misrepresent data?

A: Graphical representation or statistical data can be misleading or misrepresented. Some statistics ca...

Q: Please see picture

A: Let A be the event that a lot has 5 defective parts and B be the event that a lot has 2 defectiven p...

Q: Given that z is a standard normal random distribution, find z for each situation   The area to the ...

A: The area to the left of z is 0.9750From the standard normal distribution tableLocate the value 0.975...

Q: I don't understand how I find the z-score, without a table, the mean, or the standard deviation.

A: Solution: We are given the blow graph;