Image depth (cm) | Object depth(cm) | Index of refraction |
---|---|---|
11 | 16 | 1.45 |
40.2 | 51 | 1.27 |
26 | 44 | 1.69 |
17.6 | 40.5 | 2.30 |
15.5 | 17.5 | 1.13 |
6.5 | 8 | 1.23 |
In SC 130 Physical Science laboratory ten KG gathered the above data on the apparent optical depth of a coin in water. The third column is index of refraction of water values for each measurement. For the data in the third column:
Theoretically the index of refraction for water is 1.33. Use a hypothesis test to determine whether KG's data supports a theoretic value of 1.33 (fails to reject the null hypothesis) or disconfirms a theoretic value of 1.33 (rejects the null hypothesis).
Given the following hypothesis:
Null hypothesis: H0: μ = 1.33
Alternate hypothesis: H1: μ ≠ 1.33
Use α = 0.05