A scientist is interested in whether the color of rice (white vs. brown) makes b

Question

A scientist is interested in whether the color of rice (white vs. brown) makes birds explode with greater force. Six pigeons were captured in Liberty Park. Each was then force-fed five pounds of rice, and the power of the ensuing explosion was then measured:

                        Explosion Strength

Rice                 in Megatons

White               2

White               2

White               3

Brown              8

Brown              9

Brown              10

Conduct a t-test to determine whether brown rice leads to significantly more exploding pigeons. What’s the value of t?

12-18

0-6

30+

24-30

6-12

18-24

Explanation / Answer

Pooled SD, s = [{(n1 - 1) s1^2 + (n2 - 1) s2^2} / (n1 + n2 - 2)] = (((3 - 1) * 1^2 + (3 - 1) * 0.577^2)/(3 + 3 - 2)) = 0.81637277

SE = s * {(1 /n1) + (1 /n2)} = 0.816372770246534 * ((1/3) + (1/3)) = 0.666565576

t = (x1-bar -x2-bar)/SE = (9 - 2.33)/0.666565575668791 = 10.00651735

t0 score lies between 6 and 10.

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