Write 65 thousandths in standard form

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

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3x=3(3x+1)<br> x=(3x+1)<br> -2x=1<br> x=- 1/2

Gemiola [76]

You got the equation correct

6 0

3 years ago

PLEASE HALPPPPPPP

sasho [114]

Answer:

k

Step-by-step explanation:

i think it's 75

3 0

4 years ago

Freddie is at chess practice waiting on his opponent's next move. He notices that the 4-inch-long minute hand is rotating around

aksik [14]

Part 1. Imagine a clock without the hour hand, When clock strikes 3:35, the minute hand is at 7. When it strikes 3:55, the minute hand is in 11. Each gap between two adjacent digits in the clock measures 30°. This is because a revolution divided by 12 is 360/12 = 30. Then, the angle between the minute hands in the picture is equal to 4(30°) = 120°. Know that π radians is equal to 180°. Converting 120° to radians,

120°(π radians/180°) = (2/3)π or 2.09 radians

Part 2. For this part, we determine the arc length intercepted by the angle 120° because this is the total distance travelled by the tip of the minute hand.

S = rθ, where θ is the angle in radians and r is the radius of the circle represented by the minute hand.
S = (4)(2.09)
S = 8.36 inches

Hence, the tip of the minute hand travelled a total distance of 8.36 inches.

4 0

3 years ago

Sabrina was able to map circle P onto circle R (with Q and S being on each circle, respectively) using a translation and a dilat

nika2105 [10]

Answer:there is no error

Step-by-step explanation:

6 0

4 years ago

Read 2 more answers