Water | Glass | |||||
Image depth ί (cm) | object depth δ (cm) | index of refraction | Image depth ί (cm) | object depth δ (cm) | index of refraction | |
5.5 | 9 | 1.64 | 0.3 | 0.5 | 1.67 | |
7 | 9 | 1.29 | 0.3 | 0.5 | 1.67 | |
7.5 | 9 | 1.2 | 0.3 | 0.5 | 1.67 | |
8.4 | 9 | 1.07 | 0.4 | 1 | 2.5 | |
9 | 9 | 1 | 0.5 | 0.6 | 1.2 | |
10 | 14.5 | 1.45 | 0.5 | 1 | 2 | |
11.7 | 14.2 | 1.21 | 0.5 | 1 | 2 | |
11.7 | 14.2 | 1.21 | 0.5 | 1 | 2 | |
12 | 14.5 | 1.21 | 0.5 | 1.5 | 3 | |
14 | 14.5 | 1.04 | 0.6 | 1.2 | 2 | |
22 | 31 | 1.41 | 0.6 | 2 | 3.33 | |
29 | 43.5 | 1.5 | 0.8 | 1.5 | 1.88 | |
29.5 | 42.5 | 1.44 | 0.8 | 2.7 | 3.38 | |
31 | 42.5 | 1.37 | 0.9 | 1.9 | 2.11 | |
32.2 | 42.6 | 1.32 | 1 | 1.4 | 1.4 | |
34 | 44 | 1.29 | 1 | 1.4 | 1.4 | |
36.9 | 50.5 | 1.37 | 1 | 1.5 | 1.5 | |
37 | 51.4 | 1.39 | 1 | 3.2 | 3.2 | |
38.5 | 52 | 1.35 | 1.1 | 2 | 1.82 | |
41.8 | 50.2 | 1.2 | 1.4 | 1.9 | 1.36 | |
sample size n | 20 | |||||
sample mean | 1.3 | |||||
sample st dev sx | 0.16 | |||||
c | 0.95 | |||||
tcritical | 2.09 | |||||
standard error se | 0.04 | |||||
margin of error E | 0.07 | |||||
p( | 1.22 | ≤ μ ≤ | 1.37 | )=0.95 | ||
Known population mean μ refractive index water: | 1.33 | |||||
Known population mean μ refractive index glass: | 1.52 |