Step-by-step explanation:
400 meters is standard lap distance for a race track. 2 x 50 meters is lap distance in International pools. A lap of 440 yards is 1/4 mile. So 4 laps/mile.
A. The point estimate of μ1 − μ2 is calculated using the value of x1 - x2, therefore:
μ1 − μ2 = x1 – x2 =
7.82 – 5.99
μ1 − μ2 = 1.83
B. The formula for
confidence interval is given as:
Confidence interval
= (x1 –x2) ± z σ
where z is a value
taken from the standard distribution tables at 99% confidence interval, z =
2.58
and σ is calculated
using the formula:
σ = sqrt [(σ1^2 /
n1) + (σ2^2 / n2)]
σ = sqrt [(2.35^2 /
18) + (3.17^2 / 15)]
σ = 0.988297
Going back to the
confidence interval:
Confidence interval
= 1.83 ± (2.58) (0.988297)
Confidence interval
= 1.83 ± 2.55
Confidence interval
= -0.72, 4.38
Is this some sort of cryptic message?
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Based on the perimeter solved, the length and width of the rectangle will be 11.34 feet and 4.67 feet respectively.
<h3>How to solve the perimeter</h3>
Width = w
Length = 2w + 2
Perimeter = 2(Length + Width)
Perimeter = 2(Length + Width)
32 = 2(2w + 2 + w)
32 = 4w + 4 + 2w
32 - 4 = 6w
28 = 6w
w = 28/6 = 4.67
Length = 2w + 2 = (2 × 4.67) + 2 = 11.34
Learn more about perimeter on:
brainly.com/question/19819849