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steposvetlana [31]
3 years ago
10

For a normal distribution, a positive value of z indicates that _______.

Mathematics
1 answer:
klasskru [66]3 years ago
3 0

Answer:

A positive value of <em>z</em> indicates the sample mean is more than the population mean.

Step-by-step explanation:

The <em>z</em>-score or the standardized normal distribution score is defined as:

                                            z=\frac{\bar x-\mu}{{\frac{\sqrt{\sigma} }{n} } }

Here,

\bar x = sample mean

\mu = population mean

\sigma = population standard deviation

<em>n</em> = sample size.

The value of population standard deviation is always positive since it is the square of the deviations of values from their mean.

Then if the value of <em>z</em> is positive or negative is determined by the value of \bar x and \mu.

  • If <em>z</em> = positive, this implies that

          \bar x-\mu>0\\\bar x>\mu

       That is the sample mean is greater than the population mean.

  • If <em>z</em> = negative, this implies that

          \bar x-\mu

       That is the sample mean is smaller than the population mean.

Thus, a positive value of z indicates the sample mean is more than the population mean.

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Answer:

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Step-by-step explanation:

Find diagram in the attached file.

Since each square on the grid represent 1cm², the length of the each square will be 1cm

Area of the irregular shape can be gotten by breaking the irregular shape into three shapes which are the triangle, rectangle and a parallelogram.

Area of the irregular shape = area of triangle + area of rectangle + area of parallelogram

For TRIANGLE

Area of triangle = 1/2×base×height

Since the base of triangle is on 4square grid,

Base = 4cm

Height = 2cm

Area = 1/2×4×2

Area of ∆ = 4cm²

FOR RECTANGLE

Area of rectangle = Length ×Breadth

Length = 3cm

Breadth = 5cm

Area of the rectangular shape = 3×5

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FOR PARALLELOGRAM

Area of a parallelogram = Base × Height

Base = 5cm

Height = 3cm

Area = 5cm×3cm

Area = 15cm²

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Step-by-step explanation:

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Minnie organizes data in a table to show the net change in the number of people subscribing and unsubscribing to her blog each m
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The factored expression which represents the net change in the number of blog subscriptions over 10 months is :

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Change : -8, 11, -7, -7, -7, -8, -8, -8, 11, 11

To factor the values in the change variable :

-7 has a frequency of 3

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11 has a frequency of 3

Values having the same frequency can be factored together :

Hence, we have ;

3(11 - 7) = 3(11 - 7) = 3(4) = 12 - - - - (1)

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Joining both equations :

3(11-7) + 4(-8)

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3(4) + 4(-8)

12 + (-32)

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Therefore, the factored expression for the net change in subscription is 3(11-7) + 4(-8)

Learn more :brainly.com/question/18904995

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Step-by-step explanation:

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