How hot is the air in the top (crown) of a hot air balloon?Information from Ballooning: The Complete Guide to Riding theWinds, by Wirth and Young (Random House), claims that the airin the crown should be an average of 100°C for a balloon to be in astate of equilibrium. However, the temperature does not need to beexactly 100°C. What is a reasonable and safe range of temperatures?This range may vary with the size and (decorative) shape of theballoon. All balloons have a temperature gauge in the crown.Suppose that 54readings (for a balloon in equilibrium) gave a meantemperature of x = 97°C. For this balloon, σ ≈22°C.

(a) Compute a 95% confidence interval for the averagetemperature at which this balloon will be in a steady-stateequilibrium. (Round your answers to one decimal place.)

lowerlimit   Â	°C
upper limit   Â	°C

(b) If the average temperature in the crown of the balloon goesabove the high end of your confidence interval, do you expect thatthe balloon will go up or down? Explain.

It will go up because hot air will make the balloon rise.It willgo up because hot air will make the balloonfall.    It will go down because hot air willmake the balloon fall.It will go down because hot air will make theballoon rise.