Question

Group Radii of Tomatoes (centimeters)

Fertilized 0.8, 1.1, 0.9, 0.8, 1.0, 1.2, 0.9, 1.1, 1.0, 1.2
Unfertilized 1.4, 1.6, 1.3, 1.5, 1.1, 1.5, 1.6, 1.2

Todd randomly divided some tomato plants into two groups. He applied fertilizer to one group, but did not apply fertilizer to the other group. Then he measured the radii of the tomatoes produced by the plants in each group. His data is shown in the table.

What is the difference in the mean radius of the tomatoes from the fertilized plants and the mean radius of the tomatoes from the unfertilized plants?
A) 0.3 centimeters
B) 0.4 centimeters
C) 0.5 centimeters
D) 0.6 centimeters

Answer 1

Answer: Option 'B' is correct.

Explanation:

since we have given that

Group radii of fertilized tomatoes is given by

`0.8, 1.1, 0.9, 0.8, 1.0, 1.2, 0.9, 1.1, 1.0, 1.2`

Group radii of unfertilized tomatoes is given by

`1.4, 1.6, 1.3, 1.5, 1.1, 1.5, 1.6, 1.2`

So, we will first find the mean of both the group i.e.

Mean radii of fertilized tomatoes is given by

`=(0.8+1.1+0.9+0.8+1.0+1.2+0.9+1.1+1.0+1.2)/(10)\\\\=1`

Similarly,

Mean radii of unfertilized tomatoes is given by

`(1.4+1.6+1.3+1.5+1.1+1.5+1.6+1.2)/(8)\\\\=(11.2)/(8)\\\\=1.4`

So, the difference between the mean radii of fertilized and unfertilized tomatoes will be

`1.4-1=0.4\ cm`

Hence, Option 'B' is correct.