Ecologists wanted to estimate the mean biomass (amount of vegetation) of a certain forested region. The ecologists divided the region into plots measuring 1 square meter each, and they selected a random sample of 9 plots. The mean biomass of the 9 plots was 4.3 kilograms per square meter (kg/m2) and the standard deviation was 1.5 kg/m2 . Assuming all conditions for inference are met, which of the following is a 95 percent confidence interval for the population mean biomass, in kg/m2?
A) 4.3±1.96 (underroot 1.5/3).
B) 4.3±1.96 (1.5/3).
C) 4.3 ± 2.306 (underroot 1.5/9).
D) 4.3±2.3064 (1.5/9).
E) 4.3+2.30/15 (1.5/3).

Answers

Answer 1

Answer:

[tex]4.3 \pm 2.306\frac{1.5}{\sqrt{9}}[/tex], option c

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 9 - 1 = 8

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 8 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.306

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.306\frac{1.5}{\sqrt{9}}[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

Confidence interval:

The confidence interval is the sample mean plus/minus the margin of error. So

[tex]4.3 \pm 2.306\frac{1.5}{\sqrt{9}}[/tex]

The correct answer is given by option c.


Related Questions

As part of a school project, Tim and Jesse decide to build a birdhouse. Tim plans to house bluebirds in his birdhouse and Jesse hopes to attract wrens. Tim decides to make the floor of his birdhouse a square that measures

inches on all sides. The piece of lumber that he uses for the floor is

inches wide. How much will he need to cut off of the width of the board to make the floor?




A .3 1/4

B. 2 1/4

C.3 1/2

D. 2 3/4

Answers

Answer:

The answer is 2 3/4

Step-by-step explanation:

A large van is being used for a picnic. There will be 8 people riding in the van, and there are 8 seats in the van (one of which is the driver's seat). One of the 8 people will have to drive, but only 4 of the people are licensed to drive the van. In how many different ways could the people seat themselves in the van so that they have a licensed driver

Answers

Answer:

The people can seat themselves in 20160 different ways.

Step-by-step explanation:

Arrangements of n elements:

The number of arrangements of n elements is given by the following formula:

[tex]A_{n} = n![/tex]

In this question:

For the first seat, that is, the driver seat, 4 possible people can sit.

For the remaining 7 seats, the number of ways in which the people can sit is an arrangement of 7 elements. So

[tex]T = 4*7! = 4*5040 = 20160[/tex]

The people can seat themselves in 20160 different ways.

A stack of cards are numbered from 1 through 100. If a student selects a card, what is the
probability that the student will select a card that has both the same number in the ones place
and the tens place?

Answers

Answer:

10 out of 100

Step-by-step explanation:

Because

Solve the equation for x: 126 = 3x.
A. x = 378
B. x = 129
C. x = 123
D. x = 42

Answers

Answer:

The answer is answer D, x=42.

Step-by-step explanation:

To isolate the variable, you need to divide both sides of the equation by three, using the division property of equality. 126/3=42 , and 3x/3=x , this gives you 42=x, or x=42, meaning the answer is D.

What is the length of DE?
O 1 unit
O 3 units
O
4 units
4 units
o

Answers

Answer:

3 units :D

Step-by-step explanation:

Help please hurry it not a test but hurry no links, please

Answers

Answer:

  33 1/3%

Step-by-step explanation:

The percentage change is ...

  difference/base × 100% = (120000 -90000)/90000 × 100%

  = 1/3 × 100% = 33 1/3%

Which table of values represents a linear functions?

Answers

Answer:

D

Step-by-step explanation:

A certain polygon has its vertices at the following points.
(2,4), (4,5), (6,4), and (4,3)
What is the best description of this polygon?
OA. pentagon
OB. rectangle
OC. square
OD. rhombus

Worth 30 points plzzzzz help quick I will report if you put anything

Answers

Answer:

D

Step-by-step explanation:

d

Answer:

[tex]\huge\boxed{\sf Rhombus}[/tex]

Step-by-step explanation:

When we plot the given vertices on a graph, We get a shape which has the following characteristics.

=> Opposite angles are equal.

=> The diagonals are perpendicular to each other.

=> Opposite sides are parallel to each other.

=> Sum of adjacent angles in equal to 90 degrees.

But, the shape does not seem to be like pentagon, square and rectangle. Hence, It's a rhombus.

See the attached file!

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

calculate the 25% of 6 hours 20 minutes​

Answers

6 hours and 20 mintues = 380 mintues

25% of 380 = 95 mintues = 1 hour and 35 mintues

Step-by-step explanation:

your welcome also use the website calculator.net it had a percentage calculator

Answer:

The answer is 95 minutes.

Step-by-step explanation:

1. Convert 6 hours to minutes which would lead to 360 minutes.

2. 360 minutes + 20 minutes = 380 minutes.

3. Now find 25% of 380 minutes.

How I found 25%.

1. 50% of 380 = 190.

2. 50% of 190 = 95.

Now since the half of our base half is 95 then 2 halfes are 2 25% but we need 1 only so we can conclude that, 25% of 380 minutes is 95.

Hope this helped :).

-8x + y = -16
-3x + y = -5​

Answers

Answer:

x= 11/3

y= 6

Step-by-step explanation:

-8x+y=-16

-3x+y = - 5

Multiply the second equation by -1, we get,

-8x + y = -16

3x -y = 5

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

-3x = -11

x= 11/3

x=11/3. so,

-3×11/3 +y = -5

-11+y=-5

y= -5+11

y=6

Will give brainliest

a. 336 cubic centimeters
b. 48 cubic centimeters
c. 248 cubic centimeters
d. 168 cubic centimeters

Answers

Answer:

A.336 cubic centimeter

Step-by-step explanation:

6cm×8cm×7cm=336

help for 10 points plsssss

Answers

Answer:

on   math  way you can take a picture of your problem. hope those helps

Step-by-step explanation:

The answer is 7/5
Please help:)

Answers

1.4 because if you do your math it gives you a sum of 1.4

Answer:

AB = 1.4 or 7/5

Step-by-step explanation:

(Excuse my rambling but I wanted to be sure of myself)

AD = 2(5/2) = 5

AD is a diameter.

any triangle in a circle with the hypotenuse as the diameter is a right triangle.

Draw a line from point A to point C.

ΔACD is a right triangle.

Solve for ∠CAD:

sin CAD = 3/5 = 0.6000

∠CAD = 36.87°

arc CD = 2 x 36.87°  = 73.74°

arc BC = arc CD = 73.74°

arc DB = 147.48°

∠BAD = 1/2 (147.48°) = 73.74°

draw a line from point D to point B

ΔBAD is a right triangle.

cos 73.74° = AB/5

AB = 1.4

Which is a feature of function g if g(x) = -f(x-4)

A) Y-Intercept at (0,-4)
B) X- intercept at (5,0)
C) vertical asymptote of x=-4
D) horizontal asymptote of Y=4

Answers

Answer:

B

Step-by-step explanation:

Plato

The x- intercept of g(x) is at (5,0), the correct option is B.

What is a Function?

A function is a law that relates a dependent and an independent variable.

The function is g(x) = -f(x-4)

The x intercept is when y =0

The function in the graph f is 0 at x =1

g(x) = -f( 5-4) = -f(1) = 0

To know more about Function

https://brainly.com/question/12431044

#SPJ5

What is the 100th term of this sequence:

an=2n-5

Answers

a(100) = 2(100) - 5 = 195

This means 195 is the 100th term. Hope this helps!!

The 100th term of the sequence is 195.

What is an arithmetic sequence?

It is a sequence where the difference between each consecutive term is the same.

Example:

2, 4, 6, 8, 10 is an arithmetic sequence.

We have,

a(n) = 2n - 5

For n = 100,

a(100):

= 2 x 100 - 5

= 200 - 5

= 195

Thus,

The 100th term is 195.

Learn more about arithmetic sequence here:

https://brainly.com/question/10396151

#SPJ2

find the average rate of change of the function y=f(x)=1/(x-1)^2-8 with respect to x on the interval -2≤x≤0

Answers

Answer:

The average rate of change is (f(3)-f(0))/3=(7-0)/3=7/3.

Step-by-step explanation:

A store regularly sold 2 cans of coup for $0.64. It advertised a special sale of 6 cans for $1.56. A customer bought 12 cans at the sale. How much did the customer save over the regular price?

Answers

I’m just writing this so I can send you the picture I think you will understand it better to

Use the Pythagorean Theorem to find the length of the hypotenuse in the triangle shown below. The figure shows a right triangle with legs marked 70 and 24.

Answers

Answer:

74

Step-by-step explanation:

25 liters of water are pumped into a dam in 20 seconds

how much water will be pumped in within 3 minutes???​ help please

Answers

1 minute = 60 seconds.

3 minutes x 60 seconds = 180 seconds.

180 seconds / 20 = 9

25 liters x 9 = 225

Total water in 3 minutes = 225 liters

Answer:

225 liters

Step-by-step explanation:

There is 25 liters in 20 seconds, so you keep adding 20 seconds while adding 25 liters each time. 180 = 3 minutes

25   20

50   40

75   60

100  80

125  100

150  120

175   140

200  160

225  180

452 x 12 _____ = 452
fill in the blank

Answers

Answer:

38 remander 8

Step-by-step explanation:

Urgent help please !!!

Answers

Answer:

The answer is A. 3x + 3

Step-by-step explanation:

Umm yea its that

A company has a maximum advertising budget of $100,000 for the year. It
will be using two different platforms of advertising: online ads and billboards. Each online ad purchased will cost $15,000 for the year, and each billboard will cost $10,000 for the year. The company will not spend more than 60% of its overall budget on one of the platforms.Given that x represents the number of online ads purchased and y represents the number of billboards purchased, create a system of inequalities modeling the scenario. Select all that apply.

Answers

Answer:

Step-by-step explanation:

Write the equation for a line with a slope of 1/3 that passes through the point 6,12

Answers

Answer:

y-12=1/3(x-6)

Step-by-step explanation:

Using the slope intercept form:

[tex]y - yo = m(x - xo) [/tex]

We can see from the given point (6,12) that yo = 12 and xo = 6. The slope, m, is 1/3. Plugging in the values gives us this equation in slope-intercept form that can then be converted to any other form.

A school buys 1,950 pencils. The pencils are sold in boxes, with 30 pencils in each box. If each box costs $4.05, what is the total cost, in dollars, that the school will pay for the pencils?

Answers

The answer is
1950/30=65 boxes
Cost of 1 box is =4.05
The cost of 65 boxes=4*65=263.5

someone do this pls help?

Answers

It’s easy for the first one you add 10 each time

ans.................

Write an equation for a term value of 14. Solve your equation.

Answers

Answer:

[tex]x {}^{2} - 2x - 1 = 14 \: where \: x = 5[/tex]

Find the linear equation that is the straight line through (1, 2) and (8, 30).​

Answers

Slope
= 30-2/8-1

= 28/7

= 4


Equation:
y - 2/x - 1 = 4

y - 2 = 4(x-1)

y - 2 = 4x - 4

y = 4x - 4 + 2

y = 4x - 2

Answer:

y = 4x - 2

Step-by-step explanation:

→ First find the gradient

[tex]\frac{x2-x1}{y2-y1} =\frac{30-2}{8-1} = 4[/tex]

→ Put into y = mx + c format

y = 4x + c

→ Substitute ( 1 , 2 ) into y = 4x + c

2 = 4 + c so c = -2

→ Rewrite into equation format

y = 4x - 2

The figure below is formed from a triangle and a
square. The square has sides that measure 5 units.
Find perimeter of the entire figure.

Answers

Perimeter = all the sides added together
All the sides of the square are 5 and you can count the sides of the triangle because they are horizontal and vertical.

5 + 5 + 5 + 4 + 3 = 22

Perimeter = 22 units

A piece of ribbon is cut into three pieces that have length in the extended ratio of 7:8:9. The length of the ribbon is 96 centimeters. What is the length of each piece of ribbon?

Answers

Answer:

28:32:36

Step-by-step explanation:

you add the ratios up all together and divide your answer by 96 the answer you get there you multiply it with the ratios

PLEASE HELP DUE IN 3 minutes

Answers

Answer:

Answer is B

Step-by-step explanation:

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