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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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05.01 MC)
tatyana61 [14]

Answer:

2x + y = -5 (which is Answer 1).

Step-by-step explanation:

The possible answer choices are all versions of the standard equation of a straight line:   Ax + By + C = 0.  If A and B are both positive, as they are here, then the slope is negative and has the form m = -A/B.  Only the first answer choice passes here:  with +2x and +1y, the slope is -2.  This automatically eliminates the other possibilities.

Looking at the first answer choice, we see that A must be 2 and B must be 1

so that the slope is m = -2.    Writing out this equation:  Ax + By + C = 0.

Replace A with 2 and B with 1:  2x + y + C = 0.

Finally, replace x with -1 and y with -3:  2(-1) + (-3) + C = 0.

Solving this for C, we get   -2 - 3 + C = 0, or -5 + C = 0, or C = 5.

We end up with 2x + y = -5 (which is Answer 1).

3 0
3 years ago
You toss a fair number cube with 1 to 6 and flip a coin.
ludmilkaskok [199]

Answer:

1/6

Step-by-step explanation:

its unlikley because 1 out of 6 chances that youll land on a six or something and a 50 50 chance that you'll land on heads or tails. Unlikcry for te dice rills and likekly for the coins toss

8 0
2 years ago
Polar form of (x+6)^2 +y^2=36
Sindrei [870]

Answer:

  r = -12cos(θ)

Step-by-step explanation:

The usual translation can be used:

  • x = r·cos(θ)
  • y = r·sin(θ)

Putting these relationships into the formula, we have ...

  (r·cos(θ) +6)² +(r·sin(θ))² = 36

  r²·cos(θ)² +12r·cos(θ) +36 +r²·sin(θ)² = 36

  r² +12r·cos(θ) = 0 . . . . subtract 36, use the trig identity cos²+sin²=1

  r(r +12cos(θ)) = 0

This has two solutions for r:

  r = 0 . . . . . . . . a point at the origin

  r = -12cos(θ) . . . the circle of interest

4 0
3 years ago
PLEASE HELP ME ILL GIVE BRAINLIEST SELECT ALL THAT APLY!!!!!!!!!!!!!!!!!!!!!!!
fenix001 [56]

y\cdot \:2\frac{1}{2} = 2\frac{1}{2}=\frac{2\cdot 2+1}{2}=\frac{5}{2} =\frac{5y}{2}

a) 2y+\frac{1}{2}=\frac{4y+1}{2}

b) 2y+\frac{1}{2}y=\frac{5y}{2}

<h3><em>So b) is the expression that is equivallent.</em></h3><h3><em></em></h3><h3><em></em></h3><h3><em>Hope I helped you!</em></h3><h3><em>Success!</em></h3>
8 0
3 years ago
Deposits into a bank account are represented by numbers. Withdrawals from the account are represented by negative numbers. Which
aleksley [76]

Answer:

The answer is (-$200) to the left

Step-by-step explanation:

Solution

It is assumed that when a number is positive,  it is a distance to the right, also when a number is negative, it is a distance to the left. If a positive number is referred to as  deposit to a bank account, then a negative number is a withdrawal from that bank account.

So, If a positive number means addition, then a negative number would also mean subtraction.

The amount that represents a withdrawal of less than $200 would be (-$200)

4 0
3 years ago
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