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IrinaK [193]
3 years ago
13

Suppose you were to draw all possible samples of size 36 from a large population with a mean of 650 and a standard deviation of

24. You then compute the sample mean x-bar for each sample. From the long list of sample means, you create the sampling distribution of the sample mean, assigning probabilities to all possible values of x-bar.
Required:
What is the shape of the sampling distribution you would expect to produce?
Mathematics
1 answer:
Lady_Fox [76]3 years ago
7 0

Answer:

By the Central Limit Theorem, it is approximately normal with mean 650 and standard deviation 4.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 650 and a standard deviation of 24.

This means that \mu = 650, \sigma = 24.

Sample of 36:

This means that n = 36, s = \frac{24}{\sqrt{36}} = 4

What is the shape of the sampling distribution you would expect to produce?

By the Central Limit Theorem, it is approximately normal with mean 650 and standard deviation 4.

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Tony needs to create a platform shaped like the diagram with the labeled dimensions.
konstantin123 [22]
<h2>135 cubic feet of concrete are required to create the platform.</h2>

Step-by-step explanation:

The dimension of lower step is 6 ft× 3 ft× 1.5 ft

and the dimension of upper step is 6 ft ×(9-3)ft × (1.5+1.5)ft = 6 ft × 6 ft ×3 ft

Therefore concrete are required to make lower step = (6×3×1.5) cubic feet

                                                                                       = 27 cubic feet

and concrete are required to make upper step = (6×6×3) cubic feet

                                                                               =108 cubic feet

<h3>∴(108+27) cubic feet = 135 cubic feet of concrete are required.</h3>

8 0
3 years ago
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When given a function in standard form,how can you determine if the parabola has aminimum or maximum value
andrezito [222]

Answer:

It can be determined if a quadratic function given in standard form has a minimum or maximum value from the sign of the coefficient "a" of the function. A positive value of "a" indicates the presence of a minimum point while a negative value of "a" indicates the presence of a maximum point

Step-by-step explanation:

The function that describes a parabola is a quadratic function

The standard form of a quadratic function is given as follows;

f(x) = a·(x - h)² + k, where "a" ≠ 0

When the value of part of the function a·x² after expansion is responsible for the curved shape of the function and the sign of the constant "a", determines weather the the curve opens up or is "u-shaped" or opens down or is "n-shaped"

When "a" is negative, the parabola downwards, thereby having a n-shape and therefore it has a maximum point (maximum value of the y-coordinate) at the top of the curve

When "a" is positive, the parabola opens upwards having a "u-shape" and therefore, has a minimum point (minimum value of the y-coordinate) at the top of the curve.

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BartSMP [9]
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Hope it helps!
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Find the area of the regular pentagon below by using the area formula for triangles.
frutty [35]

Answer: D 20in2

Step-by-step explanation:

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3 years ago
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Answer:

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Step-by-step explanation:

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We know that there are 26 red eggs

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Make a proportion

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4 0
3 years ago
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