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dancemomsrule1
20.09.2020 •
Mathematics
Find the volume of a pyramid with a square base, where the area of the base is 13.2 cm 2 13.2 cm 2 and the height of the pyramid is 13.7 cm 13.7 cm. Round your answer to the nearest tenth of a cubic centimeter.
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Ответ:
A)
Note that
Lower Bound = X - z(alpha/2) * s / sqrt(n)
Upper Bound = X + z(alpha/2) * s / sqrt(n)
where
alpha/2 = (1 - confidence level)/2 = 0.025
X = sample mean = 1723.4
z(alpha/2) = critical z for the confidence interval = 1.959963985
s = sample standard deviation = 89.55083319
n = sample size = 30
Thus,
Lower bound = 1691.355235
Upper bound = 1755.444765
Thus, the confidence interval is
( 1691.355235 , 1755.444765 ) [ANSWER]
b)
We assumed taht the distirbution of these observations is approximately normally distributed.
c)
Yes, because the values are not far away from each other.