To determine the organic material in a dried lake ted, the percent carbon by mass is measured at two different locations. In order to compare the means of the two different locations, it must first be determined whether the standard deviations of the two locations are different.
Location1(%C) Location2(%C)
1 10.40 10.10
2 10.20 10.90
3 10.30 10.20
4 10.40 10.70
5 10.20 10.40
a-1. Far each location, calculate the standard deviation and report it.
- location 1: _____
- location 2: _____
a-2. What is the calculated F value for comparing the standard deviation?
b. Are the two standard deviations for the locations significantly different at the 95% confidence level?
A. yes.
B. No.
c. What is the calculated t value used to compare the means of these two locations?
d. Are the means for the two different locations significantly different at the 95% confidence level?
A. yes.
B. No.

Answers

Answer 1

Answer:

a-1.- location 1: =0.01- location 2: =0.113

a-2. F= 0.08849

b.  A. yes.

c.  t= -1.020

d. B. No.

Step-by-step explanation:

Location1(%C)             Location2(%C)

      x                  x²                      y                     y²

1   10.40           108.16                  10.10          102.01

2  10.20           104.04                  10.90         118.81

3  10.30           106.09                 10.20          104.04

4  10.40            108.16                  10.70         114.49

5  10.20            104.04                  10.40       108.16        

∑   51.5              530.49                  52.3         547.51      

x`= ∑x/n1 = 51.5/5= 10.3;    y`= ∑y/n2= 52.3/5= 10.46

Sx² = 1/n1-1[ ∑x² - (∑x)²/n1] = 1/4[  530.49 - (51.5)²/5]

        = 1/4[ 530.49 - 530.45] = 0.01

Sy² = 1/n2-1[ ∑y² - (∑y)²/n2] = 1/4[  547.51 - (52.3)²/5]

        = 1/4[ 547.51 - 547.058] = 0.113

F= Sx²/Sy²= 0.01/0.113= 0.08849

The critical region is F ≥ F(0.025) (5,5)= 7.15

and  F ≤ 1/F(0.025) (5,5) = 1/7.15= 0.13986

Since the calculated value of F =0.08849 falls in the critical region we conclude that  the two standard deviations for the locations significantly different at the 95% confidence level.

c.   t= x1`-x2`/ sqrt ( s₁²/n₁ + s₂²/n₂)

t= 10.3-10.46/ sqrt( 0.01/5 +0.113/5)

t=- 0.16/0.15684

t= -1.020

d.  The calculated value t= -1.020   does not fall in the the critical region

t (0.025) (4) = ±2.776  we conclude that the  means for the two different locations are not significantly different at the 95% confidence level.


Related Questions

READ CAREFULLY! - 50 students were randomly sampled and asked if they preferred Coke or Pepsi. 12 preferred Pepsi. If there are 779 students in the school, you would expect ______ students in the entire school to prefer Coke. Enter an answer rounded to the nearest whole number.

Answers

Answer:12/50 * x/588

Step-by-step explanation:= 141.12

588 - 141.12 = 446.88

I would expect 447 students to prefer Coke.

Hope this helps

Can someone help me with this

Answers

Answer:

x = 78°

Step-by-step explanation:

You are finding the last angle, x, in a triangle.

A triangle always equals 180.

P - 12

Q - 90

90+12 = 102

180-102 = 78

78 degrees I think.

PLS HELP 20 PONTS! which expression is equivalent to -2.5(1-2n) - 1.5n. select all that apply

Answers

Answer:

B

Step-by-step explanation:

Answer:

-2.5 + 3.5 n

how does 3.1416 come​

Answers

Answer:

It is the value of pie(22/7)

What is the run in the red triangle below? Note the direction of the arrow.

Answers

Answer:

The rise over run in the red triangle is

-1/-4

Step-by-step explanation:

y = 1/4x + 4 (This is the equation)

So the opposite of 1/4 is

-1/-4

Choose all lengths that are equal to 3 yards 16 inches.
A. 124 in.
B. 4 yd 4 in.
C. 3 yd 1 1/2 ft ( this is a fraction number 1 and 1 half)
D. 2 yd 52 in.
E. 10 ft 4 in.

Answers

Answer:

a,d, and e

Step-by-step explanation:

because 3 yards is equal to 108 inches

2x +1=x+3 plzzz give the answer

Answers

Answer:

x=2

Step-by-step explanation:

Because you Subtract 1 from both sides of the equation

and simplify which will give you 2x=x+2 then subtract Subtract x from both sides of the equation then simplify and you will get your answer x=2

Here you go, that’s how you do it :)

Use the figure shown.









What type of triangle is ABC? Select all that apply.
A right
B. equilateral
C. isosceles
D. scalene

Answers

Answer:

B. equilateral

D. scalene

A right

Step-by-step explanation:

Let me know if one or 2 of them were wrong then give me time to edit my answer

B and C is the answers for this question hope this helps you

it takes 43 pounds of seed to completely plant a 6 acre field How many acres can be planted per pound of seed?

Answers

Answer:

0.138 acres per pound of seed

Step-by-step explanation:

what is the missing number?

Answers

Answer:

Step-by-step explanation:

The missing number is

y = 2x + 3

hope it helps :)

The missing number is y = 2x + 3

Ben and Corinne are filling goodie bags for a party. Each goodie bag needs an eraser, a bubble wand, and a few candy bar bites. Ben filled 25 goodie bags in 20 minutes. Corinne filled 27 goodie bags in 24 minutes. Who filled goodie bags at a faster pace?​

Answers

Answer:

Ben

Step-by-step explanation:

Ben filled

[tex]25 \div 20[/tex]

Which is 1 minute and 25 seconds

Corrine filled

[tex]27 \div 24[/tex]

Which is 1.125 so about 1 minute and 13 seconds

Ben because 25/20 is 1.25 and 27/24 is 1.125

A seafood-sales manager collected data on the maximum daily temperature, T, and the daily revenue from salmon sales, R, using sales receipts for 30 days selected at random. Using the data, the manager conducted a regression analysis and found the least-squares regression line to be Rˆ=126+2.37T. A hypothesis test was conducted to investigate whether there is a linear relationship between maximum daily temperature and the daily revenue from salmon sales. The standard error for the slope of the regression line is SEb1=0.65. Assuming the conditions for inference have been met, which of the following is closest to the value of the test statistic for the hypothesis test?

a. t=0.274

b. t=0.65

c. t=1.54

d. t=3.65

e. t=193.85

Answers

Answer: d

Step-by-step explanation:

t= b1- B0/ SE(b1) = 2.37-0/0.65= 3.646 -> 3.65

The closest value of the test statistic for the hypothesis test is 3.65 if the least-squares regression line to be Rˆ=126+2.37T option (d) is correct.

What is a regression line?

A regression line is a graph that illustrates the pattern of a group of statistics. In other words, it shows the data's best pattern.

We have a least-squares regression line to be:

R^ = 126+2.37T

A hypothesis test was conducted to investigate whether there is a linear relationship between maximum daily temperature and the daily revenue from salmon sales.

Using a T-test to find the significance of the slope coefficient is measured:

[tex]\rm t = \frac{b}{SE}[/tex]

Here SE = 0.65

b = 2.37

Put this value in the above expression, we get:

[tex]\rm t = \frac{2.37}{0.65}[/tex]

t = 3.6461   or

t = 3.65

Thus, the closest value of the test statistic for the hypothesis test is 3.65 if the least-squares regression line to be Rˆ=126+2.37T option (d) is correct.

Learn more about the regression line here:

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i need all of these

Answers

The answer is don’t listen to the guy who commented before me. It’s a scam.

Can anyone help with this problem

Answers

9514 1404 393

Answer:

A  Kite Ahe guessed

Step-by-step explanation:

For a quadrilateral in which the diagonals cross at right angles, such as a rhombus or kite, the area can be found as half the product of the diagonals.

For the purpose here, we can ignore the factor of 1/2, which is the same for both, and simply consider the products of the diagonals.

Kite A has an area proportional to (30 in)(30 in) = 900 in².

Kite B has an area proportional to (20 in)(40 in) = 800 in².

Kite A has a larger area, so will use more paper.

__

Only Rudy knows why he chose answer C. Perhaps he guessed, rather than doing any math.

Answer:

A. Kite A

Step-by-step explanation:

To determine which of the two kites will use need more paper to make, find the area of each kite.

Kite A:

Area = (d1*d2)/2

d1 = 30 in.

d2 = 30 in.

Area of kite A = (30*30)/2 = 450 in.²

Kite B:

Area = (d1*d2)/2

d1 = 20 in.

d2 = 40 in.

Area of kite B = (20*40)/2 = 400 in.²

✅Kite A will use more paper to make because it has a greater area of 450 in.² than Kite B (400 in.²).

So, Ruby was wrong. He most likely didn't calculate the area of both kites correctly.

URGENT PLZ HELP

find the diameter of circle Q if angle PQR measures 31° and the arc length of PR is 9 cm

Answers

Answer:

33.4 cm

Step-by-step explanation:

Given:

θ = 31°

Arc length of PR = 9 cm

Required:

Diameter

Solution:

Diameter of the circle = 2*radiius = 2*PQl

Arc length = θ/360 × 2πr

Plug in the values into the equation

9 = 31/360 × 2πr

9 = 0.54r

9/0.54 = r

16.6666667 = r

r = 16.7 cm

Radius = 16.7 cm

Therefore,

Diameter = 2*radius = 2*16.7 = 33.4 cm

Which is NOT the formula for an area of a rectangle?
Group of answer choices

A = 1/2 X h X (Base 1 + Base 2)

A = L X W

A = bh

A = Base X Height

Answers

the answer that is NOT the formula for an area of a rectangle is A= 1/2X h X (Base 1 + Base 2)

find the general solution and find the specific solutions over the interval [0,4pi]

cos(alpha + pi/3) = (sqrt(3))/2

Answers

Answer:

Isolate the angle 2x, by following the reverse "order of operations".

Step-by-step explanation:

Explanation:

Step 1: Add 1 to both sides:

2

cos

2

(

2

x

)

=

1

Step 2: Divide both sides by 2:

cos

2

(

2

x

)

=

1

2

Step 3: Take the square root of both sides:

cos

(

2

x

)

=

2

2

or

cos

(

2

x

)

=

2

2

(don't forget the positive and negative solutions!)

Step 4: Use inverse of cosine to find the angles:

2

x

=

cos

1

(

2

2

)

or

2

x

=

cos

1

(

2

2

)

Step 5: Find angles that work:

2

x

=

π

4

or

2

x

=

7

π

4

or

2

x

=

3

π

4

or

2

x

=

5

π

4

Step 6: Solve for x:

x

=

π

8

,

7

π

8

,

3

π

8

,

5

π

8

or .785, 5.5, 2.36, 3.93

(decimal approximations are seen on the graph below)

x^2+ 3 has a value of 28. What term in the sequence has a value of 28?

Answers

Answer:

5th term

Step-by-step explanation:

x^2 +3 = 28

Subtract 3 from each side

x^2+3-3 =28-3

x^2 = 25

Take the square root of each side

sqrt(x^2) = sqrt(25)

x = 5

(x could be -5, but there are not usually negative terms in a sequence)

Answer:

The value of X1 is -5, X2 is +5.

4.B.83
How much must be deposited today into the following account in order to have get 35,000 in 5 Years
An account with monthly compounding and an APR of 4%
should be deposited today.
(Do not round until the final answer. Then round to the nearest cent as needed)

Answers

Answer:

$ 28,665.11 must be deposited today into the account.

Step-by-step explanation:

Given that there is an account with monthly compounding and an APR of 4%, to determine how much must be deposited today into the following account in order to have $ 35,000 in 5 years, the following calculation must be performed:

X x (1 + 4/12) ^ 5x12 = 35,000

X x (1 + 0.333) ^ 60 = 35,000

X x (1,333) ^ 60 = 35,000

X x 1.220999 = 35,000

X = 35,000 / 1.22099

X = 28,665.11

Thus, $ 28,665.11 must be deposited today into the account.

What is the exact value of the trigonometric function?
(4 pts)
cos(600)

Answers

Answer:

45 man all day long

Step-by-step explanation:

i say 45 because it just is.

what is 1 3/4 + 2 2/3 equal to?​

Answers

Answer:

4 5/12

Step-by-step explanation:

Answer:

1 3/4 + 2 2/3 =  4 5/12

Sam is between the ages of 72 and 99. The sum of the two digits is 15. How old is Sam?

Answers

96, 87, or 78

9+6=15

8+7=15

7+8=15

I hope this helped!

The
of a plane is 2.

Answers

Answer:

The seat no of a plane is 2

Is the solution greater than, less than, or equal to 29?

4(5 + 6) - 15

Answers

Answer:

Step-by-step explanation:

4(5 +6) - 15

4(11) - 15

= 44 - 15

= 25

The solution is equal to 29

Answer:

[tex]4(5 + 6) - 15 \\ = 4 \times 11 - 15 \\ = 44 - 15 \\ = 29 \\ 29 = 29[/tex]

It's Equal to 29

A new pop-up restaurant serving high-end street tacos just opened and is expected to have high demand based on the chef's prior restaurant experience. The pop-up restaurant has only one window where customers order and receive their food. It takes an average of 5 minutes to serve a customer. There is no seating available so the customer exits the system after receiving their order.
Due to the creative marketing strategy of "hiding" the restaurant location, only 10 customers arrive per hour. There is no specific pattern to the distribution of time between arrivals or service times, but from historical data from prior pop-ups, the coefficient of variation for time between arrivals is 2.58 and service time is 0.75.
1. What type of queuing model is this process?
a. single-channel, multi-phase.
b. multi-channel, multi-phase.
c. single-channel, single-phase.
d. multi-channel, single-phase.
2. How many customers would you expect to find waiting in line?
a. 3.
b. 18.
c. 10.
d. 0.
e. 7.
f. 15.
g. 12.
3. For new customers, how long do they have to wait in total before they leave with their food?
a. 45 minutes.
b. 20 minutes.
c. 50 minutes.
d. 95 minutes.
e. 15 minutes.
f. 100 minutes.
g. 40 minutes.
h. 10 minutes.
i. 0 minutes.
j. 90 minutes.

Answers

Answer:

1. c

2. f

3. d

Step-by-step explanation:

This type of queuing model is an example of "single-channel, single-phase" process.

However, from the information given:

The inter-arrival rate = 10 customers per hour

Arrival time = 6 minutes

Service time = 5 minutes

utilization = service time/arrival time

= 5/6

Time on queue [tex]T_q = p \times \dfrac{utilization }{1 - utilization} \times \dfrac{Cv_a^2 -Cv_b^2}{2}[/tex]

[tex]T_q = 5 \times \dfrac{5/6 }{1 -5/6} \times \dfrac{(2.58^2 -0.75^2)}{2}[/tex]

[tex]T_q = 25 \times 3.60945[/tex]

[tex]T_q = 90.24 \\ \\ T_q \simeq 90 \ mins[/tex]

Thus, customer waiting in the queue line is;

[tex]= \dfrac{T_q}{q} \\ \\ = \dfrac{90}{6} \\ \\ \mathbf{=15}[/tex]

Thus, new customers will have to wait in a total time of;

= waiting time + service time

= 90 + 5

= 95 minutes.

A dart board measures 6.5 inches from the very edge to the center of the bullseye


I need help

Answers

Answer:

a is the wrong answer

Step-by-step explanation:

the area of the circle is 40.8407 in^2

What is the Mean of the data set? 12, 15, 18, 23, 26​

Answers

Answer:

Mean = 18.8

Step-by-step explanation:

Mean = (Sum of all values)/(Number of values)

Mean = (12 + 15 + 18 + 23 + 26)/5

Mean = 94/5

Mean = 18.8

Answer:

18.8

Step-by-step explanation:

12+15+18+23+26=94 94/5 (5 is how many pair of numbers there are)=18.8

Neelam is pouring sand into a clear box to make sand art. The box is a right rectangular prism, and the base of the box is a right rectangular prism, and the base of the box is 7 in. by 2 1/2 in. She pours in red sand until the volume of the sand is 26 1/4 in.3. Then she pours in blue sand. Now the volume of the sand is 43 3/4 in.3. How much does the level of the sand rise when Neelam adds the blue sand?​

Answers

The level of the sand rise when Neelam adds the blue sand is 1 inch if Neelam is pouring sand into a clear box to make sand art.

What is volume?

It is defined as a three-dimensional space enclosed by an object or thing.

It is given that:

Neelam is pouring sand into a clear box to make sand art.

The volume of the sand = 43 3/4 - 26 1/4

After simplification:

The volume of the sand = 17 1/2

The height of the sand = 17 1/2 ÷ (7x 2 1/2)

After solving:

The height of the sand = 1 inch

Thus, the level of the sand rise when Neelam adds the blue sand is 1 inch if Neelam is pouring sand into a clear box to make sand art.

Learn more about the volume here:

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find the surface area of this cylinder. geometry hw help

Answers

Answer:

301.59 units or 301.6 after rounding

hi please help me with this im learning how to play gutiar rn​

Answers

Answer:

1. 1/3

2. 19/8

Step-by-step explanation:

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