In this task, you’ll perform a re-randomization simulation to determine whether the difference of the sample means is statistica
lly significant enough to be attributed to the treatment.
Suppose you have 10 green bell peppers of various sizes from plants that have been part of an experimental study. The study involved treating the pepper plants with a nutrient supplement that would produce larger and heavier peppers. To test the supplement, only 5 out of the 10 peppers come from plants that were treated with the supplement. All 10 peppers were of the same variety and grown under similar conditions, other than the treatment applied to 5 of the pepper plants.
Your task is to examine the claim that the nutrient supplement yields larger peppers. You will base your conclusions on the weight data of the peppers. The table shows the weights of the 10 peppers, in ounces. (Note: Do not be concerned with which peppers received the treatment for now.) In this task, you’ll divide the data into two portions several times, take their means, and find the differences of the means. This process will create a set of differences of means that you can analyze to see whether the treatment was successful.
Suppose you have 10 green bell peppers of various sizes from plants that have been part of an experimental study. The study involved treating the pepper plants with a nutrient supplement that would produce larger and heavier peppers. To test the supplement, only 5 out of the 10 peppers come from plants that were treated with the supplement. All 10 peppers were of the same variety and grown under similar conditions, other than the treatment applied to 5 of the pepper plants.
Your task is to examine the claim that the nutrient supplement yields larger peppers. You will base your conclusions on the weight data of the peppers. The table shows the weights of the 10 peppers, in ounces. (Note: Do not be concerned with which peppers received the treatment for now.) In this task, you’ll divide the data into two portions several times, take their means, and find the differences of the means. This process will create a set of differences of means that you can analyze to see whether the treatment was successful.
1 answer:
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Step-by-step explanation:
Given : A rectangle 4 x 8 , a semicircle
Diagonal intersecting semicircle
To Find :Area of red part
<h3>Solution:</h3>Angle AC make AB α = ∠BAC
tan α = BC/AB = 4/8 = 1/2
=> α = 26.565°
∠ECA = ∠BAC = α
EC = EF = 4
=> ∠CEF = 180° - 2α
∠AED = 45° as AE is diagonal of Square of side 4
=> ∠AEF + 180° - 2α + 45° = 180°
=> ∠AEF = 2α - 45° = 8.13°
in Left side area between square and circle is split in 2 Equal parts
(1/2) area - area AFG = area of Red part
in Left side area between square and circle = 4² - (1/4)π4²
= 3.4336 sq unit
half = 1.7168 sq unit
Now find area AFG = area ΔAEF - sector EGF
area ΔAEF
AE = 4√2 , EF = 4 angle = 8.13°
area ΔAEF = (1/2) 4√2 * 4 sin 8.13° = 1.6 sq unit
area sector EGF = (8.13/360)π4² = 1.135 sq unit
area AFG = 1.6 - 1.135 = 0.465 sq unit
Area of Red part = 1.7168 - 0.465 sq unit
= 1.2518 sq unit
= 1.252 sq unit
= 1.25 sq unit.
Hope this helps!!
