Identify each of the following statements as true or false in relation to confidence intervals (CIs).
Note: 0.5 marks will be taken away for each incorrect answer. The minimum score is 0.
|A 95% CI is a numerical interval within which we are 95% confident that the true mean μ lies.|
|A 95% CI is a numerical interval within which we are 95% confident that the sample mean x¯¯¯ lies.|
|The true mean μ is always inside the corresponding confidence interval.|
|For a sample size n=29, the number of degrees of freedom is n=30.|
|If we repeat an experiment 100 times (with 100 different samples) and construct a 95% CI each time, then approximately 5 of those 100 CIs would not contain the true mean 𝜇.|
Air flows into a compressor in a jet engine at 0.03 m3/s and 247 kPa. During the process the temperature of the air increases from -35 °C to 444 °C. Determine the power input required in kW to 2 decimal places. Take the gas constant R=0.287 (kPam3)/(kgK) and the specific heat at constant pressure of the air to be 1.018 kJ/(kgK).of air to be 1.009 kJ/(kgK).
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