In: Statistics and Probability
The inlet pressure of a steam generator is to be held constant at 5.00 MPa. During the test, the inlet pressure was measured 120 times. The resolution of the digital pressure gauge used was 0.001 MPa. The number of results, m, is the number of readings falling in an interval of ±0.04 MPa centered about the listed pressure.
Pressure, p, in MPa |
Number of Results, m |
4.960 |
4 |
4.970 |
6 |
4.980 |
6 |
4.990 |
35 |
5.000 |
45 |
5.010 |
14 |
5.020 |
5 |
5.030 |
4 |
5.040 |
1 |
a) a) Find the mean and standard deviation of the given pressure data.
b) b) Determine 95% confidence interval for the calculated mean pressure.
c) Conduct a hypothesis testing if the data obtained indicate a target pressure of 5.00 MPa at a confidence level of 99
Step 1 : Find the relative frequency(probability)
Step 2 : Find the mean and standard deviation
Step 3 : 95% confidence interval
Step 4 : Hypothesis testing