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vesna_86 [32]
3 years ago
11

This applet illustrates 95% confidence intervals for samples from a normal distribution with known variance. (a) When taking 100

samples of size 30 or greater from a population, exactly 95 of them will create a confidence interval that contains the true population mean. True False (b) Which statement is the correct interpretation of the confidence interval in this illustration?
Mathematics
1 answer:
Kay [80]3 years ago
3 0

Answer:

Step-by-step explanation:

When taking 100 samples of size 30 or greater from a population, exactly 95 of them will create a confidence interval that contains the true population mean. True or false?

This statement is false, or better still, ambiguous. 100 samples of size 30 (or greater) each, means 300 total and it can't be just 95 of them that will contain the true population mean.

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Find the roots of the parabola given by the following equation <br> 2x^2+5X-9=2x
natta225 [31]

Answer:

x=-3\:or\:x=\frac{3}{2}

Step-by-step explanation:

The given parabola has equation

2x^2+5x-9=2x

We rewrite in standard form to obtain:

2x^2+5x-2x-9=0

2x^2+3x-9=0

Split the middle terms to get:

2x^2+6x-3x-9=0

Factor by grouping:

2x(x+3)-3(x+3)=0

(x+3)(2x-3)=0

x=-3\:or\:x=\frac{3}{2}

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Evgesh-ka [11]

Answer:

29-12 is a 17 difference

52-29 is a 23 difference (adding 6 to the number 17)

81-52 is a 29 difference (adding 6 to the number 23)

116-81 is a 35 difference (adding 6 to the number 29)

Step-by-step explanation:

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3 years ago
Find the area of the shaded region in each of the following figure all unit are in cm
vodomira [7]
1st problem:
A = 630 cm


2nd problem:
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3 years ago
Triangle X Y Z is shown. Angle X Z Y is a right angle. Angle Z X Y is 60 degrees and angle X Y Z is 30 degrees. The length of hy
vladimir1956 [14]

Answer:

StartFraction StartRoot 3 EndRoot Over 3 EndFraction

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

we know that

In the right triangle XYZ

cos(Y)=\frac{ZY}{XY} ---> adjacent side divided by the hypotenuse

substitute the values

cos(30\°)=\frac{ZY}{4}

Remember that

cos(30\°)=\frac{\sqrt{3}}{2}

so

substitute

\frac{\sqrt{3}}{2}=\frac{ZY}{4}

ZY=(4)\frac{\sqrt{3}}{2}

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step 2

sin(Y)=\frac{XZ}{XY} --> opposite side divided by the hypotenuse

substitute the values

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Remember that

sin(30\°)=\frac{1}{2}

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step 3

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substitute the values

tan(Y)=\frac{2}{2\sqrt{3}}

tan(Y)=\frac{1}{\sqrt{3}}

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StartFraction StartRoot 3 EndRoot Over 3 EndFraction

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If you're looking for the trend name, I would say Strong Positive, or (a).


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