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nordsb [41]
3 years ago
15

Assume that body masses of Goldfinch birds follow a normal distribution with standard deviation equal to 0.04 oz. An ornithologi

st would like to make some inference about the average body mass of Goldfinch birds. In particular, she would like to create a formula to compute 70 % confidence interval formula for the average body mass of this specie. Her equipment allows her to sample 10 birds, using the 10 independent measurements CREATE the formula to generate 70% confidence intervals. Explain the crucial steps.
Mathematics
1 answer:
il63 [147K]3 years ago
8 0

Answer:

The formula to generate 70% confidence interval is: [\overline{x} - 0.013, \overline{x} + 0.013], in which \overline{x}  is the sample mean.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.7}{2} = 0.15

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

That is z with a pvalue of 1 - 0.15 = 0.85, so Z = 1.037.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

Assume that body masses of Goldfinch birds follow a normal distribution with standard deviation equal to 0.04 oz.

This means that \sigma = 0.04.

Sample of 10 birds:

This means that n = 10.

The margin of error is of:

M = z\frac{\sigma}{\sqrt{n}}

M = 1.037\frac{0.04}{\sqrt{10}}

M = 0.013

The lower end of the interval is the sample mean of \overline{x} subtracted by M.

The upper end of the interval is the sample mean of \overline{x} added to M.

Then, the formula to generate 70% confidence interval is: [\overline{x} - 0.013, \overline{x} + 0.013], in which \overline{x}  is the sample mean.

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marissa [1.9K]

Answer:

23.6 ft

Step-by-step explanation:

Sketch a right triangle representing this situation.  The length of the hypotenuse is 26 ft and the angle of elevation from ground to top of ladder is 65°.  The "opposite side" is the reach of the ladder, which we'll call x.

Then:

                        opp

  • sin 65° = ----------
  •                 26 ft

or (26 ft)(sin 65°) = opp side = height off the ground of top of ladder.

Evaluating this, we get:

(26 ft)(0.906) = 23.56 ft, or, rounded off, 23.6 ft

The ladder reaches 23.6 ft up the side of the building.

8 0
3 years ago
What is the equation of the line through the origin and (-5, 6) <br><br>I hate try it's .-.​
vazorg [7]

Answer:

y=-\frac{6}{5} x

Step-by-step explanation:

y=-6/5x+0

y=-6/5x

6 0
3 years ago
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How do I solve 6/2 + 8/3
Xelga [282]

Answer:

The solved given fractional expression is \frac{17}{3}

Therefore the given fractional expression becomes

\frac{6}{2}+\frac{8}{3}=\frac{17}{3}

Step-by-step explanation:

Given fractional expression  is  \frac{6}{2}+\frac{8}{3}

To solve the given fractional expression as below :

\frac{6}{2}+\frac{8}{3}

=3+\frac{8}{3}

 =\frac{3\times 3+8}{3}

( here taking the term 3 as LCM )

=\frac{9+8}{3}  ( by adding the sums here )

=\frac{17}{3}

\frac{6}{2}+\frac{8}{3}=\frac{17}{3}

Therefore the solved  given fractional expression  is  \frac{17}{3}

Therefore the  given  fractional  expression becomes  

\frac{6}{2}+\frac{8}{3}=\frac{17}{3}

The solved  given fractional expression  is  \frac{6}{2}+\frac{8}{3}=\frac{17}{3}

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3 years ago
Monique made several batches of soup for a potluck supper. Each batch required 3/4 of a pound of potatoes, and she used a total
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Answer:

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Step-by-step explanation:

4 0
3 years ago
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6. The perimeter of a parallelogram is 100 meters. The width of the parallelogram is 4 meters less than its length. Find the len
Ierofanga [76]

Answer:

x = 23, and y = 27.

Step-by-step explanation:

Lets say,

x = width

y = length

this means,

x(2) + y(2) = 100

It also says that the width is 4 meters less than the length.

if we put that into equation form it would look like this,

y - 4 = x

using these 2 equations, we can use the subustusion method to find the x.

x(2) + y(2) = 100

turns in to this :

step 1.     (y - 4) (2) + y(2) = 100 - given

step 2.      2y -8 + 2y = 100 -  distribute

step 3.      4y -8 = 100 - Combine like terms

step 4.       4y  = 108 - Get rid of the 8

step 5        4y/4  = 108 /4 - divide

step 6 .          y = 27

So if y is 27, then

x(2)  +  27(2) = 100

x(2) + 54 = 100

100 - 54 = 46, so x(2) is 46, but to get x, we need to divide 46 by 2, since x multiplied by 2 equals 46.

46  / 2 = 23 = x

so x = 23, and y = 27.

and the rule that y - 4 = x still applies, since 27 - 4 = 23.

I hope this wasn't confusing! It did take a long time tho.

5 0
3 years ago
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