(Solution Library) Ballooning: Air Temperature How hot is the air in the top (crown) of a hot air balloon? People claim that the air in the crown should be


Question: Ballooning: Air Temperature How hot is the air in the top (crown) of a hot air balloon? People claim 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 may vary with the size and (decorative) shape of the balloon. All balloons have a temp gauge in the crown. Suppose that 56 readings (for a balloon in equilibrium) gave a mean temp \(\bar{X}\) = 97°C with sample standard deviation \(\sigma \) = 17°C.

  1. Compute a 95% confidence interval for the average temp for which this balloon will be in a steady state equilibrium.
  2. If the average temp in the crown of the balloon goes above the high end of your confidence interval, do you expect the balloon will up or down? Explain.

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