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Nana76 [90]
3 years ago
9

Does the amount of hazardous material absorbed by the bodies of hazardous waste workers depend on gender? The level of lead in t

he blood was determined for a sample of men and a sample of women who dispose of hazardous waste as a full time job. You want to test the hypotheses that the amount absorbed by men is greater than the amount absorbed by women. After performing a hypothesis test for two independent samples, you see a p-value of 0.0032. Of the following, which is the appropriate conclusion?
1)The average amount of lead absorbed by men is significantly greater than the average amount of lead absorbed by women.

2)The average amount of lead absorbed by men is significantly less than the average amount of lead absorbed by women.

3)We did not find enough evidence to say the average amount of lead absorbed by men is greater than the average amount of lead absorbed by women.

4)The average amount of lead absorbed by men is less than or equal to the average amount of lead absorbed by women.

5)The average amount of lead absorbed by men is significantly different from the average amount of lead absorbed by women
Mathematics
1 answer:
Eva8 [605]3 years ago
4 0

Answer:

Correct option is (A).

Step-by-step explanation:

A two-sample <em>t</em>-test can be performed to determine whether the amount of hazardous material absorbed by the bodies of hazardous waste workers depend on gender or not.

Th hypothesis will be:

<em>H₀</em>: The amount absorbed by men is same as the amount absorbed by women, i.e. <em>μ</em>₁ = <em>μ</em>₂.

<em>Hₐ</em>: The amount absorbed by men is greater than the amount absorbed by women, i.e. <em>μ</em>₁ > <em>μ</em>₂.

The test statistic used is:

t=\frac{\bar x_{1}-\bar x_{2}-(\mu_{1}-\mu_{2})}{\sqrt{\frac{s_{1}^{2}}{n_{1}}+\frac{s_{2}^{2}}{n_{2}}}}

The decision rule to reject the null hypothesis based on the <em>p</em>-value is:

If the <em>p</em>-value of the test is less than the significance level <em>α</em> then the null hypothesis will be rejected. And if the <em>p</em>-value of the test is greater than the significance level <em>α</em> then the null hypothesis will not be rejected.

The <em>p</em>-value of the test is,

<em>p </em>- value = 0.0032

The commonly used significance levels are:

<em>α</em> = 0.01, 0.05 and 0.10.

The <em>p</em>-value of this test is less than all these <em>α</em>'s.

Thus, the null hypothesis will be rejected.

<u>Conclusion:</u>

As the null hypothesis is rejected, it can be concluded that the amount of leas absorbed by men is significantly greater than the amount absorbed by women.

Thus, the correct option is (A).

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3 years ago
A baseball is thrown with an upward velocity of 32 feet per second. The equation h=-16t^2+32t gives the height of the ball t sec
AnnZ [28]

Answer:

The function of height has a maximum value.

Step-by-step explanation:

Maximum or Minimum:

A given function f(x).

  1. Find out f'(x) and f''(x)
  2. Then set f'(x)=0 which gives x=a.
  3. f''(a) > 0 , then at x=a , f(x) has minimum value.
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Given that, a baseball is thrown with with an velocity of 32 feet per second.

The equation of height is

h=-16t^2+32t

Differentiating with respect to t

h'=-32 t+32

Again differentiating with respect to t

h''=-32

Next, we set h'=0

-32 t+32=0

\Rightarrow 32t=32

\Rightarrow t=1

Now h''|_{t=1}=-32

Since at t=1, h''<0.

The function of height has a maximum value.

The maximum of h is = -16.(1)²+32

                                     = -16+32

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4 0
3 years ago
Order from least to greatest. 5/12, 2/3, 1/2, 5/6, 3/4A) 3/4, 5/6, 2/3,1/2, 5/12B) 5/12, 1/2, 2/3, 3/4, 5/6C) 1/2, 2/3, 3/4, 5/6
adell [148]

Answer:

B) 5/12, 1/2, 2/3, 3/4, 5/6

Step-by-step explanation:

You want to get all the fractions to the common denominator, which in this case is 12. once you do this you can easily order them from least to greatest. Here are the fractions with the common denominator.

2/3 = 8/12

1/2 = 6/12

5/6 = 10/12

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Once you have all these with the same denominator, you order them from least to greatest, which gets you the answer (B.)

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melamori03 [73]
Answer:
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Explanation:
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Since we have the hypotenuse = 6√2 units
Therefore, each of the other two sides would be of length = 6 units

Now, let's consider the side triangle.
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Now, we have:
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Substitute with the givens in the cos function to get the value of x as follows:
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Hope this helps :)
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Valentin [98]
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