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Liula [17]
3 years ago
15

A clinical trial tests a method designed to increase the probability of conceiving a girl. In the study 512 babies were born, an

d 256 of them were girls. Use the sample data to construct a 99% confidence interval estimate of the percentage of girls born. Based on the result, does the method appear to be effective? ___ ____
Mathematics
1 answer:
vfiekz [6]3 years ago
3 0
Ok so what we need to do is:

<span>p = 312/624 = 0.500 best estimate
mean is p N = (0.500) 624 = 312
standard deviation is sqrt[Np(1-p)] = 12.5
 If we approximate the binomial by a Normal we would be using
 mu = 312, s.d = 12.5
 and the 99% C.I. is
mean +- 2.57 s.d
 we convert the mean to p by dividing by 624 so corresponding C.I. for p would be 0.500+ - (2.57)(12.5)/624 or 0.500+- 0.051
</span>I hope this is useful for you

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Write the equation of the ellipse using the given information:
horsena [70]

We know, equation of ellipse is given by :

\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1

Here,

(h,k) is centre of the ellipse = (0,0).

a = major axis = 8.

b = minor axis = 4.

Putting all given value in above equation, we get :

\dfrac{(x-0)^2}{8^2}+\dfrac{(y-0)^2}{4^2}=1\\\\\dfrac{x^2}{8^2}+\dfrac{y^2}{4^2}=1\\\\\dfrac{x^2}{64}+\dfrac{y^2}{16}=1

Hence, this is the required solution.

8 0
3 years ago
Suppose X has a continuous uniform distribution over the interval [1.3, 6.2]. Round your answers to 3 decimal places.
goldenfox [79]

Answer:

(a) 3.75

(b) 2.00083

(c) 0.4898

Step-by-step explanation:

It is provided that X has a continuous uniform distribution over the interval [1.3, 6.2].

(a)

Compute the mean of X as follows:

\mu_{X}=\frac{a+b}{2}=\frac{1.3+6.2}{2}=3.75

(b)

Compute the variance of X as follows:

\sigm^{2}_{X}=\frac{(b-a)^{2}}{12}=\frac{(6.2-1.3)^{2}}{12}=2.00083

(c)

Compute the value of P(X < 3.7) as follows:

P(X < 3.7)=\int\limits^{3.7}_{1.3}{\frac{1}{6.2-1.3}}\, dx\\\\=\frac{1}{4.9}\times [x]^{3.7}_{1.3}\\\\=\frac{3.7-1.3}{4.9}\\\\\approx 0.4898

Thus, the value of P(X < 3.7)  is 0.4898.

5 0
3 years ago
A washer and a dryer cost $562 combined. The washer costs $88 less than the dryer. What is the cost of the dryer?
Yanka [14]

Answer:

<em>Let the dryer cost x.</em>

<em>Then, the washer costs (x+87)</em>

<em> </em>

<em>Together, they cost  (x) + (x+87) = 787</em>

<em>         2x+87 = 787</em>

<em>            2x = 700           [subtract 97 from both sides]</em>

<em>             x = 350             [divide both sides by 2]</em>

<em> </em>

<em>The dryer cost $350.</em>

<em> </em>

<em>Check:   The washer cost $437.  Together, they cost $787  [good to check, right?]</em>

<em></em>

<em><u>Hope this helps...</u></em>

8 0
3 years ago
Read 2 more answers
Solve for <br> n<br> nn.<br> 7<br> n<br> −<br> 4<br> =<br> 31
makkiz [27]

Answer: 5

Step-by-step explanation:

5x7=35

35-4=31

5 0
3 years ago
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Square ABCD and isosceles triangle EFG have the same perimeter. Work out the length of FG.
s344n2d4d5 [400]

Answer:

8

Step-by-step explanation:

3 0
3 years ago
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