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inna [77]
2 years ago
11

Find all outliers for the data.20, 16, 8, 12, 6, 31, 15, 14

Mathematics
1 answer:
Naddika [18.5K]2 years ago
8 0

Answer:

31

Step-by-step explanation:

<h2>What is an outlier?</h2><h3>A value that is much larger or smaller than the others, or "lies out"</h3>

Our data;

20, 16, 8, 12, 6, 31, 15, 14

<em>If we put our data set from least to greatest it's muche asier to tell the outliers;</em>

6, 8, 12, 14, 15, 16, 20, 31

<h3>We can see that the only value that seems to much larger (or smaller) than the rest is 31.</h3>
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A clinical trial tests a method designed to increase the probability of conceiving a girl. In the study 335335 babies were​ born
strojnjashka [21]

Answer:

The 99​% confidence interval estimate of the percentage of girls born is (74.37%, 85.63%).

Usually, 50% of the babies are girls. This confidence interval gives values considerably higher than that, so the method to increase the probability of conceiving a girl appears to be very effective.

Step-by-step explanation:

Confidence Interval for the proportion:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 335, \pi = \frac{268}{335} = 0.8

99% confidence level

So \alpha = 0.01, z is the value of Z that has a pvalue of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8 - 2.575\sqrt{\frac{0.8*0.2}{335}} = 0.7437

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8 + 2.575\sqrt{\frac{0.8*0.2}{335}} = 0.8563

For the percentage:

Multiplying the proportions by 100.

The 99​% confidence interval estimate of the percentage of girls born is (74.37%, 85.63%).

Usually, 50% of the babies are girls. This confidence interval gives values considerably higher than that, so the method to increase the probability of conceiving a girl appears to be very effective.

7 0
3 years ago
Can anybody help me?
lakkis [162]

You know that 6x+3 equals 45 because the two sides are equal. So you first put the equation 6x+3=45. Then you use the subtraction property of equality and subtract 3 from both sides. This gives you 6x=42. Then you divide 6 from both sides to get you final answer, x=7

8 0
3 years ago
Which values of P and Q does the following equation have infinitely many solutions?
vladimir1956 [14]

Any value as long as P = Q

For the equation to have infinitely many solutions, we require both sides of the equation to have exactly the same terms.

4 0
3 years ago
Draw the graphs of the lines below on the same grid to find the coordinates of the point of
Amanda [17]

Answer:

(2,2) is the solution of the given lines.

Step-by-step explanation:

Given that,

y = x ..(1)

y = 3x-4 ...(2)

We need to find the coordinates of the point of intersection.

From equation (1) and (2).

x=3x-4

4 = 3x-x

4 = 2x

x = 2

Also,

y = 2

<h3>Hence, the coordinates of the point of  intersection is (2,2).</h3>

3 0
2 years ago
Please answer!! will give brainliest!
Eva8 [605]

Answer:

Q1=38

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Step-by-step explanation:

3 0
3 years ago
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