We measure the diameters for a random sample of 25 oak trees in a neighbourhood. Diameters of oak trees in the neighbourhood follow a normal distribution with standard deviation 8.25 cm. A confidence interval for the true mean diameter of all oak trees in the neighbourhood is calculated to be (36.191, 42.969). What is the confidence level of this interval

Answers

Answer 1

Answer:

The required confidence inteval = 94.9%.

Step-by-step explanation:

Confidence interval: Mean ± Margin of error

Given: A confidence interval for the true mean diameter of all oak trees in the neighbourhood is calculated to be (36.191, 42.969).

i.e.  Mean + Margin of error = 42.969               (i)

Mean - Margin of error = 36.191                    (ii)

Adding (i) and (ii), we get

[tex]2Mean =79.16\\\\\Rightarrow\ Mean= 39.58[/tex]

Margin of error = 42.969-39.58             [from (i)]

= 3.389

Margin of error = [tex]t^* \dfrac{\sigma}{\sqrt{n}}[/tex]

here n= 25 [tex], \ \sigma=8.25[/tex]

i.e.

[tex]3.389=t^*\dfrac{8.25}{5}\\\\\Rightarrow\ t^* = \dfrac{3.389}{1.65}\\\\\Rightarrow\ t^* =2.0539 \[/tex]

Using  excel function 1-TDIST.2T(2.054,24)

The required confidence inteval = 94.9%.


Related Questions

Mr. Smith is conducting a class raffle. Every 100% on an assignment is an entry into the raffle. Liam has 10 entries, Noah has 3 entries, Oliver has 11 entries, and there are 44 other total entries. What is the probability that Liam will win the raffle? Round your answer to the thousandths place.

Answers

Answer: 0.147

Step-by-step explanation:

Liam / total

total = 10 + 3 + 11 + 44 = 68

10 / 68 = 5 / 34

0.1470588 = 0.147

ZABD and ZDBC are supplementary angles.
What is the measure of x?
X = [?]
D
126%
AK
> C
B
Angles are not drawn to scale.
Enter

Answers

Answer:

x=154°

Step-by-step explanation:

x+126=180 supplementary

x=180-126=54

Determine whether the given value makes a true statement.
NO LINKS-DRIVES-DOCS ETC.
WILL MARK BRAINLYEST
EARN LOTS OF POINTS​

Answers

Answer:

How can you determine whether a given number makes an equation true?

Determine whether a number is a solution to an equation.

   Substitute the number for the variable in the equation.

   Simplify the expressions on both sides of the equation.

   Determine whether the resulting equation is true. If it is true, the number is a solution. If it is not true, the number is not a solution.

Simplify the expression and write your answer as a power

Answers

Answer:

The answer of this question is,

Step-by-step explanation:

The answer of this question is given in picture ️, look

what will happen if joe Biden raises tax rate like what
effect will that have on the economy

Answers

the economy goes down and it will be bad

Simplify 5 to the 2nd power * 5 to the 9th power

Answers

Answer:

Thee first one is 25 and the second one is 1,953,125

Step-by-step explanation:

You just times each one by five. If you want to simplify it tho it would be as the first one is 12,5 the second one is 976562.5. Hope it helps


5 to the 11th power. (2+9=11)
For exponents with the same base, we keep the same base and add the exponents

2 Select the correct answer. Adrianna is using exponential functions to model the value, in whole dollars, of two investments. She represents the value of investment A with a description of its key features and the value of investment B with a table. In both cases, xis the number of years she has held the investment.​

Answers

Answer: A.  

Both investments are decreasing in value, and investment A is decreasing in value faster.

Step-by-step explanation:

i need help please , i’ll give brainliest and 5 stars

Answers

Answer:

Arc DE = 70°

Arc RST = 206°

Step-by-step explanation:

arc DE + arc DC = 180° because EC is a diameter

7x + 7 + 11x + 11 = 180°

combine like terms:

18x + 18 = 180°

subtract 18 from both sides of the equation:

18x = 162°

divide both sides by 18:

x = 9

Arc DE = 7(9) + 7 = 70°

arc RST = 2(x + 103) = 2x + 206

arc RFT = 2(x + 77) = 2x + 154

arc RST + arc RFT = 360°

so:

2x + 206 + 2x + 154 = 360°

combine like terms:

4x + 360 = 360

4x = 0

x = 0

arc RST = 2x + 206 = 206°

3^-3 simplify the expression​

Answers

Answer:

.037037037

Step-by-step explanation:

Answer:

1/1

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator. GCD of 3 and 3 is 3.

3 ÷ 33 ÷ 3.

Reduced fraction: 11. Therefore, 3/3 simplified to lowest terms is 1/1.

For positive acute angles
A
A and
B
,
B, it is known that
cos

A
=
4
5
cosA=
5
4

and
sin

B
=
15
17
.
sinB=
17
15

. Find the value of
cos

(
A

B
)
cos(A−B) in simplest form.

Answers

9514 1404 393

Answer:

  77/85

Step-by-step explanation:

Given:

  cos(A) = 4/5

  sin(B) = 15/17

Find:

  cos(A-B)

Solution:

From your knowledge of Pythagorean triples, you know that one of them is (3, 4, 5) and another is (8, 15, 17). Using your imagination, or by drawing the triangles, you can determine the needed trig functions to be ...

  sin(A) = 3/5

  cos(B) = 8/17

__

Alternatively, you can use the Pythagorean identity to find ...

  sin(A) = √(1 -cos²(A)) = √(1 -(4/5)²) = √(9/25) = 3/5

  cos(B) = √(1 -sin²(B)) = √(1 -(15/17)²) = √(64/289) = 8/17

__

Then application of the angle difference formula is straightforward.

  cos(A -B) = cos(A)cos(B) +sin(A)sin(B)

  cos(A -B) = (4/5)(8/17) +(3/5)(15/17) = (32 +45)/85

  cos(A -B) = 77/85

_____

Some graphing calculators can express the result ...

  cos(arccos(4/5) -arcsin(15/17)) ≈ 0.90588235294

  ... as the fraction 77/85

help please I'm not the smartest lol ​

Answers

Answer:

Acute angle

Step-by-step explanation:

13. Using figure 1, angles 5 and 6 form a linear pair, If mz6=95", find m25.
a. 5°
b. 85"
c. 90°
d.95"
14. In figure 1, 25 and 28 are vertical angles. If m2s 2x + 45 and m28= 7x - 15
What is the value of x ?
a.6
b. 12
c.9
d. 21



paki answer po plss​

Answers

In the figure, angles 1 and 5 are alternate exterior angles. Use the Alternate Exterior ... each pair of alternate interior angles is congruent. ... 1 and 3. SOLUTION: If the radiation rays form parallel lines, then ∠1 and ... supplementary; since 3 and 5 are a linear pair, ... ∠8, ∠9 and ∠10, ∠11 and ∠12, and ∠13 and ∠14.

100 POINTS PLEASE HELP
Heather is building a ladder for her tree house. She will need 13 feet of lumber for each stilt and 2 feet of lumber for each rung on the ladder. How many feet of lumber does she need for a ladder with 2 stilts and 12 rungs?
29 feet because 2 + 13 + 12 + 2 = 29
50 feet because 2 (13) + 12 (2) = 50
160 feet because 13 (12) + 2 (2) = 160
210 feet because (2 + 13) (12 + 2) = 210
right answer gets brainiest

Answers

Answer: It's B 50

Step-by-step explanation:

Mount Fuji in Japan is 3,775meters high. The Mariana of each other in Trench is 10,994 meters deep. How many Mount fujis can fit on top of each other in the trench?​ (GIVING BRAINLIEST)​

Answers

Answer:

2.91≠3

Step-by-step explanation:

You divide the Trench by the Fuji to get the quotient or ratio. 10994÷3775 which will be 2.9123179 which you can round of if advised.

75069 / 45 with work (no calculator)
Show work please!

Answers

Answer:

1668.2

Step-by-step explanation:

Solve the percent problem 76 gallons is 126% of ___ gallons. Round to the nearest hundredth, if necessary.

Answers

Answer:

60.32

Step-by-step explanation:

126%=1.26

60.32*1.26=76.0032

76.0032≈76

Each week Lucy makes ten dollars in allowance. Write an integer to represent the amount of money she makes.

Answers

Answer:

Just multiply the number of weeks by 10

Step-by-step explanation

The current integer is 10/1 for 10 dollars made every 1 week.

So, if two weeks pass by, the integer will be 20/2 for 20 dollars made every

week.

If you continue this process by multiplying by 10, you'll get your chart.

Which function has a constant additive rate of change of –1/4? A coordinate plane with a straight line with a negative slope. The line passes through (negative 2, 2) and (2, 1). A coordinate plane with a curved line passing through (negative 1, 2), (0, negative 1), the minimum (2, negative 2), and (4, negative 1). A two column table with five rows. The first column, x, has the entries, 20, 21, 22, 23. The second column, y, has the entries negative 1, negative 1.5, negative 2, negative 2.5. A two column table with five rows. The first column, x, has the entries, negative 12, negative 11, negative 10, negative 9. The second column, y, has the entries, 7, 11, 14, 17.

Answers

Answer:

i honestly have no idea:(

Step-by-step explanation:

sorry

15 + x = 27

One step equation​

Answers

Answer:

x = 12

Step-by-step explanation:

15 + x = 27

subtract 15 from each side of the equation:

15 - 15 + x = 27 - 15

x = 12


Which property is shown here?
(2d)9 = 9(2d)

Answers

Step-by-step explanation: 4d−9=5(2d−3)

im sorry sorry if im wrong pls forgive me :')

also have a blessing day! :)

help please due tonight! ASAP!!!

Answers

It's

1+1+1+1+1+¾+¾

[tex] = \frac{4}{4} + \frac{4}{4} + \frac{4}{4} + \frac{4}{4} + \frac{4}{4} + \frac{3}{4} + \frac{3}{4} = \frac{26}{4} = \frac{13}{2} [/tex]

The answer is 6 1/2

A rectangular auditorium seats 2142 people. The number of seats in each row exceeds the number of rows by 9. Find the number of seats in each row.​

Answers

9514 1404 393

Answer:

  51

Step-by-step explanation:

Let s represent the number of seats in a row. Then the number of rows is (s-9) and the total number of seats is ...

  s(s-9) = 2142

  s² -9s +4.5² = 2142 +4.5² . . . . . complete the square

  (s -4.5) = √2162.25 . . . . . . . . take the positive square root

  s = 4.5 +46.5 = 51 . . . . . . . add 4.5

The number of seats in each row is 51.

A swing forward 50 degree and back 95 degree. How many degree forward must the swing go to return in starting position

Answers

Answer:

45°.........................

Find the exact value of sin(7pi/8)

Answers

Answer:2.74889357189

Step-by-step explanation:

The price of a house increase from 250,000 to 400,000 what is the percent increase

Answers

160% increase is the answer

What the equation for y.
2y + 2x = 4

A. y = -x + 2
B. y = 2x + 4
C. y = -x-2
D. y = x + 2

Answers

Answer:

A

Step-by-step explanation:

first move the 2x to the other side and you get 2y=4-2x, then you divide the entire equation by 2 and get y=2-x, which when re arranged is y = -x+2.

2y+2x=4

y+x=2

y=-x +2

(the only one possible) A

Help! Everyone keeps trolling me!


Below is the graph of equation y=−|x−2|+2. Use this graph to find all values of x such that

1. y > 0

2. y < 0

3. y = 0


Please add a real answer!

Thx so much for helping!

Answers

9514 1404 393

Answer:

0 < x < 4 (- ∞ < x < 0) ∪ (4 < x < ∞)x ∈ {0, 4}

Step-by-step explanation:

1. The solution is the set of x-values for which the graph is above the x-axis, where y = 0. Those x-values are in the interval (0, 4).

__

2. The solution is the set of x-values for which the graph is below the x-axis. Those x-values are in either of the two intervals (-∞, 0) or (4, ∞).

__

3. The x-intercepts of the graph are x=0 or x=4.

WORTH 20 POINTS!!

Zoe is starting her own snow plowing business. Zoey thinks she will do a better job than her competitors, so she thinks she can charge $11 per hour. If she knows she will only be able to work 40.25 hours per week, how much money will she earn each week?​

Answers

Answer: 442.75

Step-by-step explanation:

40.25 * 11 = 442.75

She will earn $442.75 as u have to do 11 x 40.25 to get the total hours per week.

Hope this helps!

HELP:

pls help now.....

Answers

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

imagine you fold on each line. the one that will fold evenly is line C.

1. Give three examples of real-world situations where a simulation could prove useful. Describe each situation, as well as the type of information you'd expect the simulation to yield.

2. Approximately 52% of Uls, households own at least one dog. Using the random number table provided below, explain how you would conduct a simulation to estimate the percentage of dog owners among U.S. households. Assume that you will look at 10 households at a time.
95911 55241 74053 41002 18096 23370 19411 15586 98282 81806 73024 33198 03846 22199 73812 59593 05126 99863

3. Assuming that you have 50 subjects that you want to randomly assign to two different groups of 25. explain how you would use a random number table to do it.​

Answers

Answer:

1. the growth of a plant given by the amount of food

Step-by-step explanation:

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