Need help with this math

Mathematics

1 answer:

sveta [45]3 years ago

3 0

This is an arithmetic sequence, as there is a common difference of 21 between terms.

By using the formula, the 18th term of the sequence is

= 1st term + (18 - 1)(21)

= 15 + 17 * 21

= 372

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In a population of 210 women, the heights of the women are normally distributed with a mean of 64.4 inches and a standard deviat

antoniya [11.8K]

Part A:

Given that i<span>n a population of 210 women, the heights of the women are normally distributed with a mean of 64.4 inches and a standard deviation of 2.9 inches.

If 36 women are selected at random, the mean of the sample is estimated by the mean of the population.

Thefore, the mean is given by: $\mu_{\bar{x}}=64.4 \ inches$

Part B:

The standard deviation using the finite population factor is given by:

$\sigma_{\bar{x}}= \frac{\sigma}{\sqrt{n}} \cdot \sqrt{\frac{N-n}{N-1} } \\ \\ = \frac{2.9}{\sqrt{36}} \cdot \sqrt{\frac{210-36}{210-1} } =\frac{2.9}{6} \cdot \sqrt{\frac{174}{209} } \\ \\ =0.4833(\sqrt{0.8325}) =0.4833(0.9124) \\ \\ =0.44$ </span>