The cuttlefish, a cephalopod and first cousin of the octopus, has the ability to camouflage to almost any natural sea environment instantaneously (within a few milliseconds). A researcher is interested to see if they are also able to camouflage to non-natural environments with a similar speed. To investigate, the researcher places ten different baby cuttlefish in a tank individually, where they are exposed to a natural sea environment. The time it takes for each to camouflage is recorded. Then, the same procedure is repeated with ten different baby cuttlefish and a tank with a checkerboard bottom. Natural: 58, 48, 55, 56, 54, 55, 43, 51, 62, 35 Non-natural: 41, 45, 40, 42, 48, 41, 32, 44, 38, 36 Is there a significant difference in the time it takes for the cuttlefish to camouflage with the different backgrounds? Test with an α = 0.05. What type of error is possible based on the outcome? Calculate and interpret the effect size. Report the mean reaction time for each group. On average, which group had a faster reaction time?

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter59: Areas Of Rectangles, Parallelograms, And Trapezoids
Section: Chapter Questions
Problem 79A
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  1. The cuttlefish, a cephalopod and first cousin of the octopus, has the ability to camouflage to almost any natural sea environment instantaneously (within a few milliseconds). A researcher is interested to see if they are also able to camouflage to non-natural environments with a similar speed. To investigate, the researcher places ten different baby cuttlefish in a tank individually, where they are exposed to a natural sea environment. The time it takes for each to camouflage is recorded. Then, the same procedure is repeated with ten different baby cuttlefish and a tank with a checkerboard bottom.

Natural: 58, 48, 55, 56, 54, 55, 43, 51, 62, 35

Non-natural: 41, 45, 40, 42, 48, 41, 32, 44, 38, 36

      1. Is there a significant difference in the time it takes for the cuttlefish to camouflage with the different backgrounds? Test with an α = 0.05.
      2. What type of error is possible based on the outcome?
      3. Calculate and interpret the effect size.
      4. Report the mean reaction time for each group. On average, which group had a faster reaction time?
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