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sparrgrovekyle
18.11.2019 •
Mathematics
The height (in inches) of men at uh is assumed to have a normal distribution with a standard deviation of 3.6 inches. the height (in inches) of women at uh is also assumed to have a normal distribution with a standard deviation of 2.9 inches. a random sample of 49 men and 38 women yielded respective means of 68.3 inches and 64.6 inches. find the 90% confidence interval for the difference in the heights of men at uh and women at uh
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Ответ:
The required 90% confidence interval would be (2.55,4.85).
Step-by-step explanation:
Since we have given that
Standard deviation of men = 3.6 inches
Standard deviation of women = 2.9 inches
Average of men = 68.3 inches
Average of women = 64.6 inches
Number of men = 49
Number of women = 38
α = 0.10
So, the confidence interval would be
Hence, the required 90% confidence interval would be (2.55,4.85).
Ответ:
4√5 + 4√10
Step-by-step explanation:
The perimeter is the sum of all the sides.
Using the coordinates given to us, we can find the sides of the quadrilateral.
d(ab) = √[(x2 - x1)² + (y2 - y1)²]
Given that, we apply that to each and every of the side, and thus we have
d(le) = √[(3 --3)² + (3 - 1)²]
d(le) = √[(6²) + (2)²]
d(le) = √(36 + 4)
d(le) = √40
d(ea) = √[(5 - 3)² + (7 - 3)²]
d(ea) = √[(2)² + (4²)]
d(ea) = √(4 + 16)
d(ea) = √20
d(ap) = √[(-1 - 5)² + (5 - 7)²]
d(ap) = √[-6)² + (-2)²]
d(ap) = √(36 + 4)
d(ap) = √40
d(pl) = √[(-1 --3)² + (5 - 1)²]
d(pl) = √[(-2)² + (4)²]
d(pl) = √(4 + 16)
d(pl) = √20
Perimeter of the quadrilateral is then
d(le) + d(ea) + d(ap) + d(pl)
√40 + √20 + √40 + √20
4√5 + 4√10