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Xelga [282]
3 years ago
13

A statistical test is performed for assessing if men have a longer mean nose length than women. The p-value is 0.225. Which of t

he following is the most appropriate way to state the conclusion??
a. Men have a longer mean nose length than women.
b. The probability is 0.225 that men and women have the same mean nose length.
c. The mean nose lengths of the populations of men and women are identical.
d. There is not enough evidence to say that men have a longer mean nose length than women.
Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
8 0

Answer:

The most appropriate way to state the conclusion is:

d. There is not enough evidence to say that men have a longer mean nose length than women.

Step-by-step explanation:

We have the result of a hypothesis test.

The claim was that men have a longer mean nose length than women.

That means that the alternative hypothesis states that men's mean nose length is higher than the women's mean nose length.

H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2> 0

The P-value of the test is 0.225, which for any usual significance level is large enough to fail to reject the null hypothesis. Then, there is no enough evidence to support the claim that men have a longer mean nose length than women.

a. Men have a longer mean nose length than women.

FALSE. There is no enough evidence to support the claim.

b. The probability is 0.225 that men and women have the same mean nose length.

FALSE. That is not the meaning of the P-value.

c. The mean nose lengths of the populations of men and women are identical.

FALSE. We can not claim that the null hypothesis is true, even when we havo no enough evidence to reject it.

d. There is not enough evidence to say that men have a longer mean nose length than women.

TRUE. This is the the most appropriate way to state the conclusion.

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Annette [7]

Answer:

12 boys

Step-by-step explanation:

  1. Set up a proportion: \frac{3}{4} = \frac{x}{16}  
  2. Cross multiply, then divide: 3 × 16 = 48, 48 ÷ 4 = 12

I hope this helps!

8 0
3 years ago
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I need help please please please
Ira Lisetskai [31]

Answer:

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Step-by-step explanation:

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5 0
2 years ago
Line K has the equation 9x-4y=-5x4.
Yuki888 [10]

Answer:

y = (9/4)x + 2, given that I've assume the correct meaning of "-5x4."

Step-by-step explanation:

A parallel line has the same slope as the reference line,

The reference line is 9x-4y = -5x4, as written.  I'm not sure the 4 belongs, but I'll assume it is written correctly.  I'm not sure if the term -5x4 is meant to mean -5x^4, -20x or -20.  I'll assume -20:

9x-4y = -20

Put the equation into standard slope-intercept form:  Y = mx + b, where m is the slope and b is the y-intercept (the value of y when  x = 0).

-4y = -9x - 20

y = (9/4)x + 5

This line has a slope of (9/4).  The parallel line will have the same slope.

y = (9/4)x + b

We can find a value of b that would shift this line to include (4,7) by using this point in the equation:

y = (9/4)x + b

7 = (9/4)(4) + b

7  = 9 + b

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The equation of a line parallel to the reference line is y = (9/4)x + 2

5 0
2 years ago
The expression (a3)2 can be simplified as shown here:
lina2011 [118]

Given expression (a^3)^2.

Let us simplify step by step with explaination.

Let us read the given expression.

(a^3)^2 could be read as a power 3 and whole power 2.

Because we have whole power 2 of  a^3. That represents two factors of (a^3) is there. So, we could write two factors of a^3 as (a^3)(a^3).

So, first step is (a^3) (a^3).

Now, each of the factor has a^3.

That is read as a power 3, that is three factors of a.

So, we can write a^3 in expanded form as a*a*a.

For each a^3, we would write a*a*a.

We have two facrors of a^3 there.

So, (a^3)(a^3) could be written as (a*a*a)(a*a*a).

There are 3+3=6 factors of a's there.

So, we could rewrite  (a*a*a)(a*a*a) as 6 power of a.

That is a^6.

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7 0
3 years ago
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The point P(2k, k) is equidistant from A(-2, 4) and B (7,-5).<br>Find the value of k.<br>​
mario62 [17]

Answer:

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Step-by-step explanation:

Using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = A (- 2, 4 ) and (x₂, y₂ ) = P (2k, k)

AP = \sqrt{(2k+2)^2+(k-4)^2}

Repeat

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BP = \sqrt{(2k-7)^2+(k+5)^2}

Given that AP = BP, then

\sqrt{(2k+2)^2+(k-4)^2} = \sqrt{(2k-7)^2+(k+5)^2}

Square both sides

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20 = - 18k + 74 ( subtract 74 from both sides )

- 54 = - 18k ( divide both sides by - 18 )

k = 3

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3 years ago
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