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Rufina [12.5K]
3 years ago
5

Studies have suggusted that twins, in their early years, tend to have lower IQs and pick up language more slowly than non-twins.

The slower intellectual growth may be caused by benign parental neglect. Suppose it is desired to estimate the mean attention time given
to twins per week by their parents. A sample of 26 sets of two-year-old twin boys was taken, and after one week the attention time
received was recorded. The mean was found to be 27.4 hours with a standard deviation of 11,2 hours. Use this information to contruc
a 98% confidence interval for the mean attention time given to all twin boys by their parents, assuming that the population is
approximately normally distributed, Round the endpoints to one decimal place.
Confidence interval:( , )
Mathematics
1 answer:
Anna007 [38]3 years ago
5 0

Answer:

Confidence interval: (21.9, 32.9).

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 26 - 1 = 25

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 25 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.98}{2} = 0.99. So we have T = 2.485

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 2.485\frac{11.2}{\sqrt{26}} = 5.5

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 27.4 - 5.5 = 21.9 hours

The upper end of the interval is the sample mean added to M. So it is 27.4 + 5.5 = 32.9 hours

Confidence interval: (21.9, 32.9).

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Which set of ordered pairs do NOT represent a function?
Rainbow [258]

Answer:

Every input can have only one output. But an output can have multiple inputs. Basically an x coordinate can have the same y coordinate as another ordered pair but not the same x coordinate. This is why d) does not represent a function.

Step-by-step explanation:

(4,-2)

(4,2)

4 is mentioned twice and every input( x value) can have only one output ( y-value)

7 0
2 years ago
Please help me solve this whole problem!
kondor19780726 [428]

Answer:

(0, -4)

rise/run = (-5/1)

x      y

1     -9

2    -14

3    -19

4    -24

5    -29

6    -34

Step-by-step explanation:

You're going to have to graph it yourself.

Take the coordinated and just plot the points, then draw the line.

(1,-9)

(2,-14)

(3,-19)

(4,-24)

(5,-29)

(6,-34)

3 0
3 years ago
What is the answer to 7y 5y-5y?
Katena32 [7]
-17 would be the answer to this problem
3 0
3 years ago
5. A video game console at Games Galore
dmitriy555 [2]

Answer:

$319.60

Step-by-step explanation:

Normal Game console cost : $399.50

Discount: %20 (0.20)

$399.50×0.20= $79.90

Total cost of discount $79.90

$399.50-$79.90= $319.60

New cost after Discount= $319.60

5 0
1 year ago
A meeting on an unpopular topic has been announced. The number of attendees may be modeled by X where What is the probability th
krok68 [10]

Answer:

The probability that at least 5 people attend the meeting given that at least 2 attend is 12.50%.

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

A meeting on an unpopular topic has been announced. The number of attendees may be modeled by X where:

P(X = x) = 1 / 2^(x+1), for x = 0,1,2,...

What is the probability that at least 5 people attend the meeting given that at least 2 attend?

The explanation of the answer is now provided as follows:

Given:

P(X = x) = 1 / 2^(x+1), for x = 0,1,2,...                    (1)

Since it is given that at least 2 attend, it implies that we need to calculate P(x) at x = 2.

Substituting x = 2 into equation (1), we have:

P(X = 2) = 1 / 2^(2 + 1)

P(X = 2) = 1 / 2^3

P(X = 2) = 1 / 8

P(X = 2) = 0.1250, or 12.50%

Therefore, is the probability that at least 5 people attend the meeting given that at least 2 attend is 12.50%.

7 0
2 years ago
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