Can anyone help me with this math equation plsss

Suppose a simple random sample of size n is drawn from a large population with mean mu and standard deviation sigma. The samplin

Sidana [21]

Answer:

$X \sim N(\mu,\sigma)$

Where $\mu$ the mean and $\sigma$ the deviation

Since the distribution for X is normal then we can conclude that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

$\mu_{\bar X} = \mu$

$\sigma_{\bar X}= \frac{\sigma}{\sqrt{n}}$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

$X \sim N(\mu,\sigma)$

Where $\mu$ the mean and $\sigma$ the deviation

Since the distribution for X is normal then we can conclude that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

$\mu_{\bar X} = \mu$

$\sigma_{\bar X}= \frac{\sigma}{\sqrt{n}}$

6 0

3 years ago

Read 2 more answers

A store owner has a total of 87.95 lbs of

Morgarella [4.7K]

Answer:

12.56

Step-by-step explanation:

87.95 divided by 7

4 0

2 years ago

Read 2 more answers

Javier invests money in two accounts. He invests twice as much in an account paying 11% as he does in an account paying 3%. If h

77julia77 [94]

PRT+PRT=Total Interest

0.03x+0.11(2x)=104.5

0.25x=104.5
x=418

x+2x, 418+2(418)=1254

Total Investment=1254 dollars

7 0

3 years ago

Fiona has proved that a function, f(x), is an arithmetic sequence. How did she prove that? A. She showed that an explicit formul

Step2247 [10]

Answer:

Option D is correct

Step-by-step explanation:

Option D is correct

Being an arithmetic sequence there will be common difference between the consecutive terms

Option A is incorrect because it is not necessary that explicit formula is an arithmetic sequence we can create explicit formula for any sequence

Option B is incorrect because recursive formula can be created for any sequence for geometric series also.

Option C is incorrect because the sequence that has constant ratio is the geometric sequence not an arithmetic sequence.

6 0

3 years ago

Read 2 more answers

Carrie asked 50 randomly selected middle school students at king's high school about their favorite fast food item. twenty-one s

laiz [17]

21 french fries/50 total = x french fries/350 total
Cross Multiply: (21 · 350) = (50 · x)
Divide both sides by 50: (21 · 7) = x
147 = x

Answer: 147 students

7 0

3 years ago