How hot is the air in the top (crown) of a hot air balloon? Information fromBallooning: 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 100C for a balloon to be in a state of equilibrium. However, the temperature does not need to be exactly 100C. 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 that52readings (for a balloon in equilibrium) gave a mean temperature ofx= 97C. For this balloon,21C.

(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 limitCupper limitC

(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 down because hot air will make the balloon fall.

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.