Mathematics: A random sample is selected from a population with mean and standard deviation . Determine the mean and standard deviation of the sampling distribution of for each of the following sample sizes: a. n = 9 b. n = 15 c. n = 36 d. n = 50 e. n = 100 f. n = 400

A random sample is selected from a population with

Ответ:

pinklavalamp

29.01.2022

Mathematics

a. Mean = 100, S.D. = 3.333

b. Mean = 100, S.D. = 2.582

c. Mean = 100, S.D. = 1.667

d. Mean = 100, S.D. = 1.414

e. Mean = 100, S.D. = 1

f. Mean = 100, S.D. = 0.5

Step-by-step explanation:

The question is incomplete:

Population mean: 100

Population standard deviation: 10.

The mean for any sampling distribution is equal to the population mean.

The standard deviation for the sampling distribution depends on the population standard deviation and the sample size as:

$\sigma_s=\dfrac{\sigma}{\sqrt{n}}$

We can calculate the parameters of the sampling distributions as:

a. n = 9

$\mu_s=\mu=100\\\\ \sigma_s=\dfrac{\sigma}{\sqrt{n}}=\dfrac{10}{\sqrt{9}}=\dfrac{10}{3}=3.333$

b. n = 15

$\mu_s=\mu=100\\\\ \sigma_s=\dfrac{\sigma}{\sqrt{n}}=\dfrac{10}{\sqrt{15}}=\dfrac{10}{3.873}=2.582$

c. n = 36

$\mu_s=\mu=100\\\\ \sigma_s=\dfrac{\sigma}{\sqrt{n}}=\dfrac{10}{\sqrt{36}}=\dfrac{10}{6}=1.667$

d. n = 50

$\mu_s=\mu=100\\\\ \sigma_s=\dfrac{\sigma}{\sqrt{n}}=\dfrac{10}{\sqrt{50}}=\dfrac{10}{7.071}=1.414$

e. n = 100

$\mu_s=\mu=100\\\\ \sigma_s=\dfrac{\sigma}{\sqrt{n}}=\dfrac{10}{\sqrt{100}}=\dfrac{10}{10}=1$

f. n = 400

$\mu_s=\mu=100\\\\ \sigma_s=\dfrac{\sigma}{\sqrt{n}}=\dfrac{10}{\sqrt{400}}=\dfrac{10}{20}=0.5$

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Ответ:

bigblow

26.06.2022

Mathematics

answer with explanation:

it is given that ,

δ mno ≅ δ xyz

when two triangles are congruent,then their corresponding parts, that is their corresponding angles and corresponding sides are congruent.

1.⇒ corresponding angles

∠m= ∠ x

∠n = ∠y

∠ o = ∠ z

2. corresponding sides

mn = x y

no = y z

mo = x z

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A random sample is selected from a population with mean and standard deviation . Determine the mean and standard deviation of the sampling distribution of for each of the following sample sizes: a. n = 9
b. n = 15
c. n = 36
d. n = 50
e. n = 100
f. n = 400

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