Porcupines can cause damage to wood structures by chewing them. Researchers studied a liquid repellent
designed to reduce such damage. A sample of 20 wooden blocks of the same size were treated with the
repellent and left outside in an area where porcupines are known to live. After a certain amount of time, the
blocks were inspected for the number of porcupine teeth marks visible. The data were used to create the
95 percent confidence interval (4.9,5.8).
Which of the following claims is supported by the interval?
A
The expected number of porcupine teeth marks on a wooden block treated with the
repellent is less than 5.
B
B
The expected number of porcupine teeth marks on a wooden block treated with the
repellent is 5.
с
The mean number of porcupine teeth marks on all wooden blocks treated with the
repellent is 6.
D
The mean number of porcupine teeth marks on all wooden blocks treated with the
repellent is greater than 6.
E
The mean number of porcupine teeth marks on all wooden blocks treated with the
repellent is less than 6.

Answers

Answer 1

Answer:

The mean number of porcupine teeth marks on all wooden blocks treated with the repellent is less than 6.

Step-by-step explanation:

Answer 2

The mean number of porcupine teeth marks on all wooden blocks treated with the repellent is less than 5 and 6.

Option A and E are the correct answer.

What is a confidence interval?

A confidence interval is a range of values that is likely to contain the true value of an unknown parameter, such as a population means or proportion, based on a sample of data from that population.

It is a statistical measure of the degree of uncertainty or precision associated with a statistical estimate.

We have,

The 95% confidence interval for the mean number of porcupine teeth marks on wooden blocks treated with the repellent is (4.9, 5.8).

This means that we can be 95% confident that the true mean number of porcupine teeth marks on all such wooden blocks falls between 4.9 and 5.8.

Option A states that the expected number of porcupine teeth marks on a wooden block treated with the repellent is less than 5.

This claim is supported by the confidence interval since the upper limit of the interval is less than 5.

Option B states that the expected number of porcupine teeth marks on a wooden block treated with the repellent is 5.

This claim is not supported by the confidence interval, since both the lower and upper limits of the interval are greater than 5.

Option C states that the mean number of porcupine teeth marks on all wooden blocks treated with the repellent is 6.

This claim is not supported by the confidence interval, since both the lower and upper limits of the interval are less than 6.

Option D states that the mean number of porcupine teeth marks on all wooden blocks treated with the repellent is greater than 6.

This claim is not supported by the confidence interval, since the upper limit of the interval is less than 6.

Option E states that the mean number of porcupine teeth marks on all wooden blocks treated with the repellent is less than 6.

This claim is supported by the confidence interval since the upper limit of the interval is less than 6.

Therefore,

The mean number of porcupine teeth marks on all wooden blocks treated with the repellent is less than 5 and 6.

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Related Questions

3. Mateus recebe a visita do seu avô Pedro a cada 15 dias. João, o tio dele, o visita a cada 100
e, devido a escalas de trabalho, a cada 12 dias Mateus vai à praia com seus pais. Um belo dia Mans
recebeu a visita do seu avô, do seu tio e foi à praia com seus pais (com o avô e o tio que o visitavam nese
dia). Quantos dias depois este acontecimento se repetirà?​

Answers

Answer:

Este acontecimento se repetirá 300 dias depois.

Step-by-step explanation:

Quando os eventos se repetirão no mesmo dia?

Cada evento tem uma frequência.

Eles ocorrem simultaneamente a cada x dias, e x é dado pelo MMC(Mínimo Múltiplico Comum) entre as frequência.

Neste problema:

A cada 15 dias o avô visita.

A cada 100 dias o tio visita.

A cada 12 dias vai à praia.

Quantos dias depois este acontecimento se repetirá?​

Os três no mesmo dia vão se repetir após x dias, em que x é dado pelo MMC de 15, 100 e 12

MMC de 15, 100 e 12

Fatorando simultâneamente estes valores:

15 - 100 - 12|2

15 - 50 - 6|2

15 - 25 - 3|3

5 - 25 - 1|5

1 - 5 - 1|5

1 - 1 - 1

Então:

mmc(15,100,12) = 2*2*3*5*5 = 300

Este acontecimento se repetirá 300 dias depois.

How many license plate numbers consisting of three letters followed by
two numbers are possible when repetition is not allowed?

Answers

Is there a picture so I can see ?

Please solve this math question.

Answers

Answer:

none of these

Step-by-step explanation:

the side lengths are are 2√5/5, 2, and 4.

sin(x) = opp/hyp

sin(x) = 2/2√5

I need help on this..... FAST. Think you can help me?

Answers

Answer:

.si sey el senocar 18

Step-by-step explanation:.basflone ne ombla

Covert 2/3 years to months

Answers

Multiply by 12 so 8

thank you hope this helps

Answer:

7.9 or if you need to round it,it will be 8

Step-by-step explanation:

dont have a explanation nut i hopes this help.

can someone find the slope intercept equation for this plz thanks ill give brainliest

Answers

Answer:

y = -3/4x - 1

Step-by-step explanation:

it is

A state university locks in costs for a student once a student starts attending the university. The total cost is $23,500. A student has
the following help in covering the costs of school.
• An academic scholarship of $8,200.
• Other scholarships and grants of $7.400.
Grandparents pay $1,000
.
What is the amount that the student will need to save every month in order to pay off the remaining costs in 10 months ?
$690
S820
S1 660
$2 350

Answers

Answer:

720

Step-by-step explanation:

24500 (total) subtracted by (10,700 + 5000 + 1600) =7200. 7200 divide by 10 mo=720

If the student will need to save every month in order to pay off the remaining costs in 10 months, the amount she will need to save per month is $690

Amount and interest

Given the following information from the question

The total cost of fee =  $23,500

Amount got as help;

An academic scholarship of $8,200.

Other scholarships and grants of $7.400.

Grandparents pay $1,000

Amunt she had = 8200 + 7400 + 1000
Amount she had = $16600

Amount remaining = 23500 - 16600

Amount remaining = $6900

If the student will need to save every month in order to pay off the remaining costs in 10 months, the amount she will need to save per month is $690

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the river falls vertically compared to how far it flows horizontally. Find the
slope of the river shown to the right. (Hint: The slope of a river is positive.)
46 ft
252 ft


Answers

Answer:

23 / 126

Step-by-step explanation:

46/252 = 23/126

Brainliest will be given ASAP question below!

Answers

Answer:

3/32

Step-by-step explanation:

9/16 × 3/4=27/144=3/16×1/2=3/32

Solve for w. Only use numbers in your answer.

8w - 15 = 57

w =

Answers

Answer:

w = 9

Step-by-step explanation:

1. Add 15 from both sides: 8w = 72

2. Divide my 8: w = 9

Answer:

the answer for this question is 9

What is the y-intercept of the line?

Answers

Answer:

28

Step-by-step explanation:

Answer:     5 is the y-intercept    and -16 is the slope

22 - 17 =   5

32 - 48 = -16

Step-by-step explanation:

If 26 feet 10 inches is cut from a wire that is 44 feet 8 inches long what is the length of wire that is left ?

Answers

Answer:

17 feet 10 inches

Step-by-step explanation:

26 feet 10 inches is cut from a wire that is 44 feet 8 inches

Therefore the length of wire that is left can be calculated as follows

44 feet 8 inches - 26 feet 10 inches

= 17 feet 10 inches

What is the value of x in the following equation?
7x + 5(2x – 10) = 69

Answers

Answer:

Step-by-step explanation:

7x+10x-50=69

17x=69+50

x=7

NEED HELP I SUCK AT GEOMETRY (OFFERING 100POINTS)!!! best answer get brainlest


Find the measure of angle C
show work and explain!

Answers

Answer:

Angle C =  45°

Step-by-step explanation:

Hello There!

If you didn't know opposite angles are congruent in parallelograms

So ∠A≅∠C and ∠B≅∠D

So if ∠A = 45° then ∠C also equals 45°

As it is a parallelogram

[tex]\\ \sf\longmapsto <B\cong <D[/tex]

[tex]\\ \sf\longmapsto <A\cong <C[/tex]

<A=45°[/tex]

[tex]\\ \sf\longmapsto <C=<A=45°[/tex]

please. help me
thank you​

Answers

Answer:

-30,10

Step-by-step explanation:

How to get 60 to -30 : 60 divided by -30 is -2

How to get -20 to 10: -20 divided by 10 is -2

The total service time of a multistep manufacturing operation has a gamma distribution with mean 18 minutes and standard deviation 6 minutes.
(a) Determine the parameters alpha and lambda of the distribution. (solving these two parameters using the mean and the standard deviation)
(b) Assume that each step has the same exponential distribution for service time. What distribution for each step and how many steps produce this gamma distribution of total service time?

Answers

Answer:

The answer is "[tex]\bold{r=9, \lambda=\frac{1}{2}\ and \ \ \text{exponential, 9 steps}}[/tex]"

Step-by-step explanation:

In point a:

We are aware of the random gamma variable X:

[tex]\to \mathbb{E} =\frac{r}{\lambda}\\\\\to Std(X) =\frac{\sqrt{r}}{\lambda}\\\\[/tex]

It is given:

[tex]\to \mathbb{E} = 18 \\\\\to std(X)=6[/tex]

[tex]\to 18=\frac{r}{\lambda}\\\\ \to 6=\frac{\sqrt{r}}{\lambda}\\\\[/tex]

Substituting the value:

[tex]\to \frac{\sqrt{r}}{6}=\frac{r}{18}\\\\\to r=9\\\\\to \lambda=\frac{1}{2}\\\\[/tex]

In point b:

When building the Erlang/Gammas distribution, these could reasonably be assumed to become an exponential distribution only with \lambda = 1/2 parameter with one step but to be r = 9 for one step.

B:
The usual monthly expenses of midas family is 3500.00 for their electric and and with bill, 10,
000 for house and 5,000.00 for their food. The rest of their income will be their savings How much
will be their savings if the couple both earn 10,000.00each​

Answers

Answer:

$1,500

Step-by-step explanation:

Income - Expenses = Savings

     

     Income = 2 × 10,000 = $20,000

     Expenses = 3,500 + 10,000 + 5,000 = $18,500

$20,000 - $18,500 = $1,500 left for Savings

Can someone please help me

Answers

Answer:

135ft^3

Step-by-step explanation:

Volume for triangular prism = 1/2bhl

v=1/2*6*5*9= 135

i think the answer would be the 3rd

Need help with this question please !!!

Answers

Answer: 27

Step-by-step explanation:

Please send help. I really need this asap

Answers

Answer:

Part a) The area of the figure is [tex]\frac{9}{2} (4+\pi ) cm^{2}[/tex]

Part b) The perimeter of the figure is [tex]3(2+2\sqrt{2} +\pi )cm[/tex]

Simplify the expression 9x + 5-3x + 12
6x - 7
6x + 17
12x + 17
23x
Please help

Answers

Answer:

6x + 17

Step-by-step explanation:

Combine like terms

9x - 3x = 6x

5 + 12 = 17

6x + 17

What is the equation of the line that passes through the point (-6, -6) and has a
slope of - 1/3

Answers

Answer:

The equation of the line is [tex]y = -\frac{1}{3}x - 8[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept.

Slope of - 1/3

This means that [tex]m = -\frac{1}{3}[/tex]

So

[tex]y = -\frac{1}{3}x + b[/tex]

Through the point (-6, -6)

This means that when [tex]x = -6, y = -6[/tex]. So

[tex]y = -\frac{1}{3}x + b[/tex]

[tex]-6 = -\frac{1}{3}(-6) + b[/tex]

[tex]b + 2 = -6[/tex]

[tex]b = -8[/tex]

The equation of the line is [tex]y = -\frac{1}{3}x - 8[/tex]

Which fraction has the larger value? *
-3/4
-1/2

Answers

Answer:

I'm thinking it's -1 / 2

Step-by-step explanation:

not sure how but

Answer:

-1/2

Step-by-step explanation:

Why? Because 1/2 is bigger than 3/4

How many invitations should Tyler make each day if his goal is 122 and he already made 66 and he wants to finish in a week

Answers

Tyler should make 8 a day. You do 122-66 which is 56 and there are 7 days in a week so 56 divide by 7 is 8.

Scott is saving coins in a jar. Last week, the jar was 1/4 full. This week, he added more coins, and the jar is now 1/2 full. How much of the jar did Scott fill this week?

Answers

Answer:

Scott filled (1/2 - 1/4) of the jar, or 1/4 of the jar this week.

Let me know if this helps!

Answer:

He filled his jar 1/4 more this week.

Step-by-step explanation:

The explanation is very simple, you know that he added 1/4 coins last week and this week he added more coins that filled the jar half way:

1/2 - 1/4 = 1/4

or you can also use:

1/4 + 1/4 = 1/2

Which of these are expressions?
Check all that are true.

a/9

2 + 5

7

8 × 9 - 5 = 72 - 5

0 + 0

Answers

Answer:

a/9

2+5

0+0

maybe 7

an expression is any problem that does NOT have an equal sign

Answer:=7

Step-by-step explanation:

2+5

0+0

maybe 7

an expression is any problem that does NOT have an equal sign

Helppppp meeeee!!!!!!!!!!!

Answers

Answer and Step-by-step explanation:

When it says (f + g)(x), it means that it wants you to add the functions together.

So, let's add them.

[tex](2x^2 + 6x - 4) + (5x^3 -6x^2-3)\\\\\\5x^3 - 4x^2 + 6x - 7\\\\\\\\\\\\\\5x^3 - 4x^2 + 6x - 7[/tex]is the answer. (Answer choice B.)

#teamtrees #PAW (Plant And Water)

Cellulon, a manufacturer of home insulation, wants to develop guidelines for builders and consumers on how the thickness of the insulation in the attic of a home and the outdoor temperature affect natural gas consumption. In the laboratory, it varied the insulation thickness and temperature. A few of the findings are:
Monthly Natural Gas Consumption (cubic feet), Thickness of Insulation (inches), Outdoor Temperature (ºF),
y x1 x2
30.3 6.0 32.0
25.2 12 40
30.5 8 49
On the basis of the sample results, the regression equation is:
yˆ y⁢^⁢  = 57.25 − 1.07x1 − 0.64x2

Answers

According to the regression equation, the predicted Monthly Natural Gas Consumption (ŷ) can be estimated by subtracting 1.07 times the Thickness of Insulation (x1) and 0.64 times the Outdoor Temperature (x2) from 57.25.

The regression equation provided is:

ŷ = 57.25 - 1.07x1 - 0.64x2

Where:

ŷ represents the predicted value of Monthly Natural Gas Consumption (cubic feet)

x1 represents the Thickness of Insulation (inches)

x2 represents the Outdoor Temperature (ºF)

Based on the regression equation, the coefficients indicate the relationship between the independent variables (Thickness of Insulation and Outdoor Temperature) and the dependent variable (Monthly Natural Gas Consumption).

The coefficient for x1 (Thickness of Insulation) is -1.07. This means that, holding the Outdoor Temperature constant, for every 1-inch increase in the Thickness of Insulation, the predicted Monthly Natural Gas Consumption is expected to decrease by 1.07 cubic feet.

The coefficient for x2 (Outdoor Temperature) is -0.64. This means that, holding the Thickness of Insulation constant, for every 1-degree Fahrenheit increase in the Outdoor Temperature, the predicted Monthly Natural Gas Consumption is expected to decrease by 0.64 cubic feet.

The constant term in the equation is 57.25. This represents the predicted Monthly Natural Gas Consumption when both the Thickness of Insulation and Outdoor Temperature are zero.

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Which regular polygon would have each of its interior angles measure 140°?

octagon
nonagon
decagon
heptagon

Answers

9514 1404 393

Answer:

  nonagon

Step-by-step explanation:

The adjacent exterior angle is 180° -140° = 40°. There are 360°/40° = 9 of those angles around the regular polygon, so it is 9-sided.

The polygon is a nonagon.

Answer:

 nonagon

Step-by-step explanation:

i got 100%

Simplify the following expression

6y + 8 - 2y + 5y - 9

Answers

Answer: 9y-1

:))))))))))))))))))))

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