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kakasveta [241]
3 years ago
10

The brain volumes ​(cm cubed​) of 20 brains have a mean of 1111.2 cm cubed and a standard deviation of 125.3 cm cubed. Use the g

iven standard deviation and the range rule of thumb to identify the limits separating values that are significantly low or significantly high. For such​ data, would a brain volume of 1411.8 cm cubed be significantly​ high?
Mathematics
1 answer:
valentina_108 [34]3 years ago
3 0

Answer:

Yes, the value 1411.8 cm³ is significantly high.

Step-by-step explanation:

Consider the provided information.

The brain volumes ​(cm cubed​) of 20 brains have a mean of 1111.2 cm cubed and a standard deviation of 125.3 cm cubed.

The range rule of thumb to identify the limits separating values that are significantly low or significantly high is:

The range rule of thumb identifying significant values are as.

Significantly low values are μ-2σ

Substitute the μ = 1111.2 and σ = 125.3 in above formula.

1111.2-2(125.3)=860.6

Significantly high values are μ+2σ

Substitute the μ = 1111.2 and σ = 125.3 in above formula.

1111.2+2(125.3)=1361.8

The value is significantly high due to the value 1411.8 cm³ is not lie between the values 860.6 cm³ and 1361.8 cm³.

Hence, Yes, the value 1411.8 cm³ is significantly high.

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Answer:

d. 15, 30, 135

Step-by-step explanation:

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a. 90 * 3 = 270 != 180

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5 0
3 years ago
Assume that 8​% of people are​ left-handed. We select 6 people at random. ​a) How many lefties do you​ expect? ​b) With what sta
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Answer:

a) 0.48

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Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are left-handed, or they are not. The probabilities of each person being left-handed are independent. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

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The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

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The number of trials expected to find r sucesses is given by

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In this problem we have that:

Assume that 8​% of people are​ left-handed. We select 6 people at random. ​

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N = \frac{r}{p} = \frac{1}{0.08} = 12.5

4 0
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Answer:

16 Unit

Step-by-step explanation:

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The length of base PQ is the difference in the x-coordinates of P and Q,

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The height (the length of altitude RS is the difference in the y-coordinates of R and S,

1-(-3)=1+3=4 , because the y-coordinates are both the same as 4 .

The area is

\frac{base*height}{2}=\frac{8*4}{2}=16.


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