Three brands of batteries are under study. It is suspected that the lives (in weeks) of the three brands are different. Five randomly selected batteries of each brand are tested with the following results (treat this as completely randomized design):

Table 1: Weeks of Life
Brand1 Brand2 Brand3
100 76 108
96 80 100
92 75 96
96 84 98
92 82 100

Answer the questions based on the observed data:
(a) Are the lives of these brands of batteries different?
(b) Analyze the normality assumption and state your conclusion.
(c) Check the constant variance assumption and state your conclusion.
(d) Construct a 95% simultaneous confidence interval for all pairs of means using Tukey's method.
(e) From (d), which brand has the shortest life?
(f) For the brand selected in (e), the manufacturer decides to replace without charge any battery that fails in less than 80 weeks, what percentage of batteries of this brand would the company expect to replace?

answer rather than having to add and subtract the measurements of the semi-circle, notice that the semicircle to the left of ad is actually identical in area to the blank semicircle-shaped space to the left of bc. so if we transferred the red semicircle into the blank space, we would end up with a square of side length 24 cm. the area of a square is s^2 = 24^2 = 676 cm^2.

u also answered this so i think u would know but i am here to

put in or use mine

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step-by-step explanation:

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240

6e14 is the answer.