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LUCKY_DIMON [66]
2 years ago
9

A random sample of 12 families were asked how many kids they had. The data are given below. According to the US Census, families

have on average 2.4 kids per family. What is the p-value for the alternative hypothesis that the average number of kids per family is different than the US Census value?
1 1 2 2 2 3 3 3 3 4 4 6
A) p-value = 1.070.
B) p-value = 0.154.
C) p-value = 0.846.
D) p-value = 0.308.
Mathematics
1 answer:
Lana71 [14]2 years ago
7 0

Answer:

0.308

Step-by-step explanation:

Given the data:

1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 6

We need to obtain the sample mean and sample standard deviation :

Sample mean, xbar = Σx/n

Where n = sample size (1+1+2+2+2+3+3+3+3+4+4+6) / 12 = 2.833

Sample standard deviation, s

Using the formula :

s = √Σ((x - xbar)² / n-1)

s = 1.40

Hypothesis :

H0 : μ = 2.4

H1 : μ ≠ 2.4

The test statistic :

(xbar - μ) ÷ (s/√(n))

(2.833 - 2.40) / (1.40/sqrt(12))

Test statistic = 1.0713

Using the Pvalue from Test score calculator :

df = n - 1 = 12 - 1 = 11 ; two tailed

Pvalue(1.071, 11)

= 0.3069

= 0.307

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Answer:

Step-by-step explanation:

4/x + 4/(x²-9) = 3/(x - 3) 

4 / x + 4 / [( x - 3) ( x + 3 )] = 3 / ( x - 3 )  / * x ( x - 3 ) ( x + 3 )

Restrictions : x ≠ 0,  x ≠ - 3 ,  x ≠ 3;

4 ( x + 3 ) ( x - 3 ) + 4 x = 3 x ( x + 3 )

4 ( x² - 9 ) + 4 x = 3 x² + 9 x

4 x² - 36 + 4 x - 3 x² - 9 x = 0

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x - 9 = 0,  or : x + 4 = 0

Answer:

x = 9,  x = - 4

4 0
3 years ago
X4y(4) = yx2(13), calculate (x+y)2
Delicious77 [7]

Please, for clarity, use " ^ " to denote exponentiation:


Correct format: x^4*y*(4) = y*x^2*(13)

This is an educated guess regarding what you meant to share. Please err on the side of using more parentheses ( ) to show which math operations are to be done first.


Your (x+y)2, better written as (x+y)^2, equals x^2 + 2xy + y^2, when expanded.

The question here is whether you can find this x^2 + 2xy + y^2 in your

"X4y(4) = yx2(13)"


Please lend a hand here. If at all possible obtain an image of the original version of this problem and share it. That's the only way to ensure that your helpers won't have to guess what the problem actually looks like.


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Answer:

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Step-by-step explanation:

Because the equation for area is length times width, you would have to set the two equations to seventy and multiply them.

<em>     (x+5) (x+2) = 70</em>

<em>     </em><em>2x + 10 = 70</em>

Then, you would have to subtract ten from both sides, cancelling it from the left side.

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<em />

Then do the opposite and divide sixty by two, therefore getting a length of thirty feet.

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Answer:

The answer is letter A.

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6 0
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