Suppose you have 40 college freshman who have volunteered to be part of this study. Design a completely randomized experiment that tests the hypothesis that hearing older students talk about overcoming challenges improves academic performance. Be sure your design addresses how randomization will be incorporated. (b) Suppose you have reason to believe that students with a history of strong academic performance respond differently than those with a history of modest performance. Outline a randomized block design using the same subjects that will address this difference.

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Answer: d. 39 cmin the diagram, the approximate length of the minor arc de is 39 centimetres.step-by-step explanation: the formula for the length of an arc in a circle is as displayed below.let the length of the minor arc de = xx = 2( pi )r × angle of sector / 360°from this, we will substitute the values given from the problem into the formula to obtain the length of the minor arc de.x = 2( pi )r × angle of sector / 360°r = radius = 25cmpi as an approximate value = 3.14angle of sector = 120°x = 2( 3.14 )( 25 ) × 120° / 360°x = 157 × 1 / 4x = 39.25x = 39 ( rounded to the nearest whole number as an approximate value )