A group of 9 trout (considered the population) were isolated in a pond and fed a special food mixture called Grow Em Fast. At the end of the experimental period, the weights of the trout were (in grams): 124, 125, 123, 120, 124, 127, 125, 126 and 121. Another special mixture, Fatso 1B, was used in another pond. The mean of the population was computed to be 126.9 grams and the standard deviation was 1.20 grams. Which food results in a more uniform weight?

Question

A group of 9 trout (considered the population) were isolated in a pond and fed a special food mixture called Grow Em Fast. At the end of the experimental period, the weights of the trout were (in grams): 124, 125, 123, 120, 124, 127, 125, 126 and 121. Another special mixture, Fatso 1B, was used in another pond. The mean of the population was computed to be 126.9 grams and the standard deviation was 1.20 grams. Which food results in a more uniform weight?

A) Grow Em Fast
B) Fatso 1B
C) No difference in uniformity of performance.
D) Insufficient information.

Answer 1

To determine which food results in a more uniform weight, we can compare the standard deviation of the two populations. A lower standard deviation indicates less variation in the weights of the trout, and thus a more uniform weight distribution.

In this case, the standard deviation of the Grow Em Fast group is not given, so we cannot directly compare it with the standard deviation of the Fatso 1B group. Without this information, it is not possible to determine which group has a more uniform weight.

Therefore, the answer is D) Insufficient information.