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WITCHER [35]
3 years ago
14

Knowing the population standard deviation, a 95% confidence interval infers that the population mean ___________. is between 0 a

nd 100% is within ±1.96 standard deviations of the sample mean is within ±1.96 standard errors of the sample mean is too large
Mathematics
1 answer:
nevsk [136]3 years ago
3 0

Answer:

within ±1.96 standard deviations of the sample mean

Step-by-step explanation:

A 95% confidence interval is found using the formula C = 1 - α, and some other stuff, but let's focus on that for now. Using the formula:

.95 = 1 - α

α = .05

If α = .05, that means a 2-sided confidence interval would be found using the sample mean and the Z-score Z(subscript α/2), or Z.₀₂₅ because α AKA .05 divided by 2 = .025. From there, you take this either to your calculator or a Z-table (or perhaps you have a chart that lists the common CI values), and see that for the area to be .025 beneath a standard normal curve, your Z value is ±1.96 ("plus or minus" because we're considering a 2-sided confidence interval).

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2x-5y=-28 find the value of y when x equals -19
nydimaria [60]
<h3>Question:</h3>

2x-5y=-28 find the value of y when x equals -19

<h3>Answer:</h3>

Y = - 2

<h3>Step-by-step explanation:</h3>

First you plug in -19 where x is 2(-19)-5y = -28

Remove parentheses               -2 · 19-5y= -28

Multiply -2 by 19                       -38-5y= -28

Add 38 to both sides               -5y = 10

Divide both sides by -5            [tex]\frac{-5y}{-5} =\frac{10}{-5}[/tex

you will get -2 which is the answer.


Hope this helped!


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taurus [48]

Given:

The expression is:

\dfrac{-8x^{18}}{4x^6}

To find:

The simplified form of the given expression.

Solution:

We have,

\dfrac{-8x^{18}}{4x^6}

It can be written as

\dfrac{-8x^{18}}{4x^6}=\dfrac{-8x^{6+12}}{4x^6}

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Cancel out the common factors.

\dfrac{-8x^{18}}{4x^6}=\dfrac{-2x^{12}}{1}

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Therefore, the simplified form of the given expression is -2x^{12}.

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