Answer:
all work is shown and pictured
Answer: l = 4 cm, w = 7 cm
Step-by-step explanation:
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Answer:
Provided that the sample size, n, is sufficiently large (greater than 30), the distribution of sample means selected from a population will have a normal distribution, according to the Central Limit Theorem.
Explanation:
1. As n increases, the sample mean approaches the population mean
(The Law of Large numbers)
2. The standard error of the sample is
σ/√n
where σ = population standard deviation.
As n increases, the standard error decreases, which means that the error
between the sample and population means decreases.
Given that
, we have for
the Taylor series expansion about 0 as
Replace
with
, so that the series is equivalent to
and notice that
Recall that for
, we have
which means
