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 60 readings (for a balloon in equilibrium) gave a mean temperature of x = 97°C. For this balloon, σ ≈ 13°C.
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
Given Information:
Population mean (u) = 100 degree Celsius
Sample mean (x) = 97 degree Celsius
Sample size (n) = 60
Sample standard deviation (s) = 13 degree Celsius
Step 1: Formulate the hypothesis
Null Hypothesis (Ho): u = 100 degree Celsius
Alternate Hypothesis (Ha): u< 100 degree Celsius
Step 2: Decide the level of significance
The level of significance is assumed to be 0.05
Step 3: Decide the test statistic
Z test will be used
Step by step
Solved in 2 steps
