The National Ignition Facility uses 6mm diameter pellets of deuterium (hydrogen with an extra neutron) cooled to 11 Kelvin as targets for it’s laser in an attempt to achieve nuclear fusion. Because of the massive energies involved, the targets must be constructed to a very high degree of accuracy. You sample 22 targets and their diameters are collected and stored in the spreadsheet. (a) Construct a normal QQ-plot for this sample and interpret the results. (b) State a null an an alternate hypothesis to test the claim that the target manufacturing process is performing to specifications. (c) Conduct a hypothesis test to with an α = 0.01 to test your hypothesis in part (a). and report your result. (d) What sample size would be needed to reliably, with a probability of 80% or better, detect a deviation of 0.001mm from our null hypothesis? round.diametermm..5. 1 5.99869 2 6.00053 3 5.99925 4 6.0009 5 5.9996 6 6.00188 7 6.00187 8 6.00091 9 5.99903 10 5.99889 11 6.00037 12 5.99907 13 6.00012 14 6.00114 15 5.99867 16 5.99962 17 5.99989 18 6.00147 19 6.0017 20 6.00153 21 6.0007 22 6.0018
The National Ignition Facility uses 6mm diameter pellets of deuterium (hydrogen with an extra neutron) cooled to 11 Kelvin as targets for it’s laser in an attempt to achieve nuclear fusion. Because of the massive energies involved, the targets must be constructed to a very high degree of accuracy. You sample 22 targets and their diameters are collected and stored in the spreadsheet.
(a) Construct a normal QQ-plot for this sample and interpret the results.
(b) State a null an an alternate hypothesis to test the claim that the target manufacturing process is performing to specifications.
(c) Conduct a hypothesis test to with an α = 0.01 to test your hypothesis in part (a). and report your result.
(d) What sample size would be needed to reliably, with a probability of 80% or better, detect a deviation of 0.001mm from our null hypothesis?
round.diametermm..5. | |
1 | 5.99869 |
2 | 6.00053 |
3 | 5.99925 |
4 | 6.0009 |
5 | 5.9996 |
6 | 6.00188 |
7 | 6.00187 |
8 | 6.00091 |
9 | 5.99903 |
10 | 5.99889 |
11 | 6.00037 |
12 | 5.99907 |
13 | 6.00012 |
14 | 6.00114 |
15 | 5.99867 |
16 | 5.99962 |
17 | 5.99989 |
18 | 6.00147 |
19 | 6.0017 |
20 | 6.00153 |
21 | 6.0007 |
22 | 6.0018 |
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