Question

v

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* ≈
22°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 |

Answer #1

Solution :

Given that,

Sample size = n = 56

Z_{/2}
= 1.96

Margin of error = E = Z_{/2}* ( /n)

= 1.96 * (22 / 56)

= 5.8

At 95% confidence interval estimate of the population mean is,

- E < < + E

97 - 5.8< < 97 + 5.8

91.2 < < 102.8

lower limit **91.2 ^{0C}**

upper limit **102.8 ^{0C}**

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...

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...

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...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 4 minutes ago

asked 4 minutes ago

asked 7 minutes ago

asked 13 minutes ago

asked 13 minutes ago

asked 24 minutes ago

asked 38 minutes ago

asked 44 minutes ago

asked 59 minutes ago

asked 59 minutes ago

asked 1 hour ago

asked 1 hour ago