Question

1. According to the data below, can you support the claim (with 95% confidence) that the focal distance of each of the mirrors is the same?

Mirror 1			Mirror 2			Mirror 3
object dist	image dist		object dist	image dist		object dist	image dist
54 cm	131 cm		80 cm	137 cm		64 cm	108 cm
67 cm	163 cm		108 cm	95 cm		50 cm	189 cm
50 cm	209 cm		124 cm	86 cm		72 cm	88 cm
86 cm	74 cm		128 cm	83 cm		91 cm	73 cm
118 cm	61 cm		100 cm	102 cm		113 cm	65 cm

2. Is it possible to tell which of the three mirrors ( plane, concave, convex) from the lab I used for my testing? And what do you notice about the level of confidence with which you can make that decision?

Mirror 1
object dist	image dist
127	90
152	80
87	130
59	419
102	102

Note: All images are real and positive. Please show work and explain!

Answer 1