What is the probability a sample of 71 test takers will provide a sample mean test score within 10 points of the population mean of 533 on the Evidence-based Reading and Writing part of the test?

In this case, sample size is greater than 30,

That is 71 > 30

Therefore, sampling distribution of sample mean x is approximately normal with:

µ = 533 and ∂ = 10.

Step-by-step explanation:

Solution:

Given:

The population standard deviation of ∂ = 100

The probability distribution of all the possible values of sample mean x is termed as sampling distribution of x.

The expected value  is E(x) =µ,

µ represent population mean.

µ = 533

The standard deviation is = ∂ /√n

S.D = 100 / √71

   = 11.868

For simple random sample of size n drawn from population, the sampling distribution of sample mean x is approximately normal when sample size is greater than or equal to 30.

In this case, sample size is greater than 30,

That is 71 > 30

Therefore, sampling distribution of sample mean x is approximately normal with:

µ = 533 and ∂ = 10.

answer: when you burn wood, the carbon reacts with the oxygen in the air to create ash and smoke. that is a permanent change you cannot undo that.

step-by-step explanation:

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.