Question

A random sample of size 100 is taken from a population whose mean is 60 and variance is 400. Using CLT, with what probability can we assert that the mean of the sample will not differ from = 60 by more than 4?​

Answer 1

Answer:

• random sample of size 100 is taken from a population whose mean is 60 and variance is 400. Using CLT, with what probability can we assert that the mean of the sample will not differ from = 60 by more than 4?

Step-by-step explanation:

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Answer 2

Answer:

95%

Step-by-step explanation:

The mean of the sample can approximate the mean of the population plus/minus a customary error, determined by variance and sample size.

x = μ ± (б / √n)

x = 60 ± $\frac{20}{\sqrt{100} }$

x = 60 ± 2

The sample mean follows a traditional distribution wherever the quality error is that the variance. For the sample mean to be at intervals four is same as being at intervals 2 customary errors. From the conventional distribution this is often roughly 95%.

The required probability is 95%.

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