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Veseljchak [2.6K]
3 years ago
5

In a random sample of 8 people with advanced degrees in biology, the mean monthly income was $4744 and the standard deviation wa

s $580. Assume the monthly incomes are normally distributed. Construct a 95% confidence interval for the population mean monthly income for people with advanced degrees in biology.
Mathematics
1 answer:
eimsori [14]3 years ago
3 0

Answer: u= ( 4342.08, 5145.92).

Step-by-step explanation: the population mean is estimated using the sample by the formulae assuming a 95% confidence level

u = x' + Zα/2 * (√σ/n) or x' - Zα/2 * (√σ/n)

u = estimated population mean

x' = sample mean = 4744

n = sample size =8

σ = sample standard deviation. = 580

α = level of significance = 1- confidence level = 1-0.95= 0.05

Zα/2 = z score from the normal distribution table for a 2 tailed test = 1.96

First boundary value for interval

u = 4744 + 1.96 ( 580/√8)

u = 4744 + 1.96 * (205.0609)

u = 4744 + 401.92

u = 5145.92

Second boundary value for interval

u = 4744 - 1.96 ( 580/√8)

u = 4744 - 1.96 * (205.0609)

u = 4744 - 401.92

u = 4342.08

Thus the confidence interval for population mean is

u= ( 4342.08, 5145.92).

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lys-0071 [83]

Answers:

  1. slope = 2
  2. slope = -3
  3. slope = 1
  4. slope = 1/4
  5. slope = 1/4

None of the five lines are horizontal or vertical

===============================================

Explanation:

Something like f(x) = 2x-5 is the same as y = 2x-5. This is because y = f(x).

Compare y = 2x-5 with y = mx+b. We see that m = 2 is the slope in this case.

The other four questions are handled the same way.

A horizontal line occurs when the slope is 0. Since none of the slopes are zero, none of the lines are horizontal.

A vertical line equation is of the form x = k, where k is any real number. The y variable is not involved. It is not possible to write a vertical line equation in the form y = mx+b because the slope m is undefined. So none of the given five equations are vertical lines.

Side note: something like y = x+6 is the same as y = 1x+6

4 0
3 years ago
Write the fraction 3663 in simplest form
dybincka [34]
HEY THERE.

THE CORRECT ANSWER IS 36/63 = 4/7 Hope this helps you
8 0
4 years ago
Read 2 more answers
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ziro4ka [17]

Answer:

80*

80*

75*

120*

Step-by-step explanation:

both angle 1 and 2 for the first image have the same value as  the other angle of 80* because it is a set of parallel lines and one line going through it.

1 on the next set of images is 75* because is is an alternate exterior angle.

2 of the last set of images is 120* because it is same side interior angles.

5 0
3 years ago
It costs $0.50 to download an individual song and $4 to download an album jada has $15 to spend downloading music. Sketch a grap
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Answer

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Step-by-step explanation:

8 0
3 years ago
10x - 5y = -25<br> l0x+8y=14
balandron [24]

Greetings,

<em>I hope you and your family are staying safe and healthy! </em>

Answer: x = -1 and y = 3

Step-by-step explanation:

10x - 5y = -25 \\10x + 8y = 14

Let's start by solving 10x - 5y = -25 for x

10x - 5y=-25

Add 5y to both sides

10x - 5y + 5y = -25+5y \\10x = 5y - 25

Now we need to divide both sides by 10

\frac{10x}{10} = \frac{5y-25}{10}

x = \frac{1}{2} y + \frac{-5}{2}

That's not the answer for x. We are not done yet :)

Now we need to substitute \frac{1}{2} y + \frac{-5}{2} for x

10x + 8y = 14\\10(\frac{1}{2} y + \frac{-5}{2} + 8y = 14

Now we need to simply both sides

13y - 25 = 14

Now we need to add 25 to both sides

13y - 25 + 25 = 14 + 25 \\13y = 39 \\y = \frac{39}{13} \\y=3

We have the valuee for y! Now we need to find the value for x

To find the value of x, we need to substitute 3 for y in:

x = \frac{1}{2} y + \frac{-5}{2} \\x = \frac{1}{2} 3 + \frac{-5}{} \\x = -1

Therefore,

The answer is x = -1 and y = 3

---------------------

Please kindly give me 5 stars and leave a thanks if you find my answer to be helpful. Thanks!

3 0
3 years ago
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