The average annual cost of the first year of owning and caring for a cat is $1,500. A sample of 81 will be used. Based on past studies, the population standard deviation is assumed known with σ = $198. What is the margin of error for a 95% confidence interval of the mean cost of the first year of owning and caring for a cat?

Answers

Answer 1

Answer:

The margin of error for a 95% confidence interval of the mean cost of the first year of owning and caring for a cat is of $43.12.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Sample of 81

This means that [tex]n = 81[/tex]

What is the margin of error for a 95% confidence interval of the mean cost of the first year of owning and caring for a cat?

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]M = 1.96\frac{198}{\sqrt{81}}[/tex]

[tex]M = 43.12[/tex]

The margin of error for a 95% confidence interval of the mean cost of the first year of owning and caring for a cat is of $43.12.


Related Questions

at the doctor's appointment a baby weight 10 pounds how many ounces did the baby weigh​

Answers

Answer:

160 ounces

Step-by-step explanation:

A pound = 16 ounces

16x10=160 ounces

In testing hypotheses, which of the following would be strong evidence against the null hypothesis?
a. obtaining data with a low test statistic.
b. using a small level of significance.
c. using a large level of significance.
d. obtaining data with a large p-value.
e. obtaining data with a small p-value.

Answers

Answer:

e. obtaining data with a small p-value.

Step-by-step explanation:

In the null hypothesis, we test if the mean respects certain condition, and on the alternate hypothesis, we test the opposite of the null hypothesis.

The decision depends on the pvalue:

If the pvalue is smaller than the level of significance, that is, the pvalue has small values, the null hypothesis is rejected, that is, it is strong evidence against the null hypothesis. Large pvalues do not give evidence against the null hypothesis.

So the correct answer is given by option e.

HELP answer this question please help a girl out

Answers

Answer:

37.3 ft

Step-by-step explanation:

x/56 = 32/48

cross multiply:

56x32 = 1792

48x

1792/48 = 37.3

A company is going to make an oil container in the shape of a cylinder. As shown below, the container will have a height of 5m and a radius of 3m. The container will be made from steel (including its top and bottom). If the steel costs $24 for each square meter, how much will the steel cost in total? If necessary, refer to the list of geometry formulas. For your calculations, do not round any intermediate steps, and use the π button on the ALEKS calculator. Round your answer to the nearest cent.

Answers

Answer:

1,172.3 cm³

Step-by-step explanation:

Find the volume of one rod, then divide the total volume of steel used by the volume of one rod.  The volume of one rod is

V = (πd²/4)h

d = 4 cm

h = 20 cm

Plugin the numbers and get V in cm³, then divide the given total volume of 28,134.4 cm³ by V.  If the result is not an integer, then round down.

Add

20 + 4 = 24

Then

28,134.4 ÷ 24 = 1172.26

Rounded to the nearest 0.1 or  the Tenths Place = 1,172.3

Therefore, 1,172.3 rods will be made per hour.

Please help me with this math problem

Answers

Answer:

The table is a quadratic function

Step-by-step explanation:

Given

The attached table

Required

Tell if it is a quadratic function

The difference in the x values are uniform (i.e. difference of 1), so the following method can be applied.

(1) Subtract adjacent y values.

[tex]d_1=2 - 16 = -14[/tex]

[tex]d_2=-2 - 2 = -4[/tex]

[tex]d_3 = 4--2 = 6[/tex]

[tex]d_4 = 20 - 4 = 16[/tex]

(2) Subtract adjacent differences in (1) above

[tex]d_5 = d_2 - d_1 = -4 --14 = 10[/tex]

[tex]d_6 = d_3 - d_2 = 6 --4 = 10[/tex]

[tex]d_7 = d_4 - d_3 = 16 -6 = 10[/tex]

Notice the calculated differences in (2) are the same.

Hence, the table is a quadratic function

A study is conducted to determine the extent to which drinking alcohol impairs driving ability. Forty volunteers are each tested twice on a computer simulated driving course, once while sober and once while intoxicated. The tests took place over two days and the order of the treatments were randomly assigned to each volunteer. One of the variables measured is the response time (in seconds) to a certain stimuli. The mean difference in response times measured while intoxicated versus sober is 0.914 seconds with standard deviation 1.496 seconds. Calculate the 99% confidence interval for the mean difference between the response times measured while intoxicated versus sober. Use t*

Answers

Answer:

The 99% confidence interval for the mean difference between the response times measured while intoxicated versus sober is between 0.274 and 1.554 seconds.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used 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 = 40 - 1 = 39

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 39 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.7079

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.7079\frac{1.496}{\sqrt{40}} = 0.64[/tex]

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

The lower end of the interval is the sample mean subtracted by M. So it is 0.914 - 0.64 = 0.274 seconds

The upper end of the interval is the sample mean added to M. So it is 0.914 + 0.64 = 1.554 seconds

The 99% confidence interval for the mean difference between the response times measured while intoxicated versus sober is between 0.274 and 1.554 seconds.

Please help!!! I’ll give you best answer!!!
Solve each equation with the quadratic formula.
6) 4v2 + 6v - 88 = 0

Answers

Step-by-step explanation:

The quadratic equation given to us is ,

→ 4v² + 6v - 88 = 0 .

So , wrt to standard form of a quadratic equation ax² + bx + c = 0 , the Zeroes are given by using the Quadratic formula as ,

⇒ x = -b ± √ ( b² - 4ac) / 2a

⇒ x = -6 ± √ [6² - 4 × 4 × (-88) ] / 2×4

⇒ x = -6 ± √ [ 36 + 1408 ] / 8

⇒ x = -6 ± √ 1444 / 8

⇒ x = -6 ± 38 / 8

⇒ x = -6 +38/ 8 , -6 -38 / 8

⇒ x = 32/8 , -44/8

x = 4 , -11/2

Here I took v as x . So we can replace it .

Hence the value of v is 4 , -11/2 .

can someone give me a simple answer to this problem

Answers

Where is it????????????????????

What are the next two terms of the sequence 1, 2, 5, 14, -..?
A 41, 122
B 29,41
C 40, 123
D 61, 142. please help

Answers

The answer is A. 41 , 122 , hoped i helped

Combine any like terms in the expression. If there are no like terms, rewrite the expression. (NO TROLL ANSWERS, OR ELSE!)

Answers

Answer:

48+36r³

Step-by-step explanation:

There are two pairs of like terms in this expression: 19r³ and 17r³, 44 and 4

Combining the two pairs, you get 48+36r³

Consider the line segment LP with endpoint at L (-3, -5) and P (9, 7) and midpoint M.

What is the x—coordinate of N, the point that partitions segment MP in a 1 : 1 ratio?

A. 4
B. -4
C. -6
D. 6

Answers

Hey did you find the answer to it yet ? Because I’m having a hard time as well

What is the equivalent ratio of 3 6


Answers

Answer:

1:2

Step-by-step explanation:

1:2

Just simplify 3:6 to get 1:2

There are 6 balls in a bucket and 3 of them
are white. If you choose a ball at random,
what is the probability that it will not be
white?

Answers

Answer:

[tex] \frac{3}{6} [/tex]

Help me please, I don’t understand this at all

Answers

Answer: d

Step-by-step explanation:

aint no 90 cuz

Answer:

Not a right triangle

Step-by-step explanation:

root 4^2 + 6^2 is not equal to 7.5

34% of a shirt order for a department store arrived damaged. If the order
was for 500 shirts, how many of the shirts were damaged? *

Answers

Correct me if im wrong but i believe 170 of them were damaged

Answer:

170 shirts

Step-by-step explanation:

500×0.34

170

You are comparing cell phone plans at two cell phone companies. The probability that you buy a plan from company A is 0.2. The probability that you buy a plan from company B is 0.4. Assuming these events are mutually exclusive, what is the probability that you buy a plan from company A or company B?

A. 0
B. 0.16
C. 0.2
D. 0.6

Answers

Answer:

the answer for this question is option 0.16

in the following diagram HI || JK what is the measure of

Answers

Answer:

118

Step-by-step explanation:

1 straight line equals 180 degrees minus 62 makes it 118

PLEASE HELP!!! Needed ASAP!

Answers

Answer:

6x - 3 y = 6

6x + 8y = -16

multiply equation 2 by -1

-6y -8y = 16

6x - 3y = 6

-11y =22

y = -2

substitute the value of y in 1

6x - 3(-2) = 6

6x + 6 =6

6x =0

x = 0

(x;y)

[0; -2]

9) 4x + 3y = 19

6x + 3y =33

multiply equation 2 by -1

4x + 3y = 19

-6x - 3y = -33

eliminate one variable by adding the equations

-2x =-14

x = 7

substitute the value of x in the equation

4(7) +3y = 19

28+ 3y = 19

3y =-9

y = -3

(x;y)

[7 ; -3]

10 ) 2x + 6y = 17

2x - 10y = 9

multiply by -1 in equation2

2x +6y = 17

-2x + 10 y = -9

eliminate one variable by adding the equations

16 y = 8

y = 1/2

substitute the value of y in the equation.

2x +6 (1/2) = 17

2x + 3 = 17

2x = 14

x = 7

x:y

[7 ; 1/2 ]

5x - 3.3 = 7.2
What is the solution to the
equation?
A. X = 2.1
B. X = 5
C. X = 0.65
D. Not Here

Answers

Answer:

A

Step-by-step explanation:

5x=10.5

x=2.1

What is the 12th term in the geometric sequence -9,27,-81...?


A) -531441

B) 1594323

C) -4782969

D) 177147



Answer and I will give you brainiliest

Answers

Answer:

B) 1594323

Step-by-step explanation:

Given GP -9, 27, -81, ...To find12th termSolution

nth term formula

aₙ = a₁rⁿ⁻¹, where r- common ratio, n- number of the term

We have

a₁ = -9r = 27/-9 = -81/27 = -3

Find a₁₂

a₁₂ = (-9)*(-3)¹¹ = 1594323

Correct choice is B

Anna has n number of nickels. She has less than 45 cents. Which inequality could be used to the find the value of n?
A 0.05n < 0.45
B 0.05n > 0.45
C 0.05n < 0.45
D 0.05n > 0.45

Answers

Answer:

The correct answer is A or C 0.05n < 0.45

Step-by-step explanation:

Nickels cost $0.05 and n is the number of nickels, so you multiply the two to get 0.05n. Since this value is less than $0.45, we put a less than sign.

At one farmer’s market, bananas cost $0.80 per pound. At another farmer’s market, bananas are sold in 5-pound bags for $4.50 per bag. Which explains how to find the better buy?
Divide 4.50 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0.80 per pound.
Divide 0.80 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0.80 per pound.
Multiply 4.50 by 5 to find the cost for 5 pounds, and compare to $4.50 per bag.
Multiply 4.50 by 0.80 to find the cost for 5 pounds, and compare to $4.50 per bag

Answers

Answer:

Divide 4.50 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0.80 per pound.

Step-by-step explanation:

What is the value of the contangent of

Answers

Given:

In triangle WXY, [tex]m\angle W=90^\circ, WX=8, XY=17, WY=15[/tex].

To find:

The Cotangent of [tex]\angle X[/tex].

Solution:

In a right angle triangle,

[tex]\cot \theta=\dfrac{Base}{Perpendicular}[/tex]

It can be written as:

[tex]\cot \theta=\dfrac{Adjacent}{Opposite}[/tex]

For triangle WXY,

[tex]\cot (\angle X)=\dfrac{WX}{WY}[/tex]

[tex]\cot (\angle X)=\dfrac{8}{15}[/tex]

Therefore, the Cotangent of [tex]\angle X[/tex] is [tex]\dfrac{8}{15}[/tex].

PLS HELP IMA GIVE BRAIN LISTTT!!!

Which model is 85% shaded?
Done

Answers

Answer:

First left

Step-by-step explanation:

17/20 =  0.85   = 85/100 = 85%

PLZ HELP ASAP NO LINKS AND NO STEALING POINTS OR ELSE I WILL REPORT IT HAS TO BE AN IMPROPER FRACTION.​

Answers

Answer:

Hello Love!

8 ÷ 3/5 = 13 1/3 sense thats a mixed fraction I'll convert it and it converts to 13 x 3 + 1 = 40 so 40/3 is our answer

The number 312.8 is 34% of x. What is the value of x rounded to the nearest whole number

Answers

Answer:

X = 920

Step-by-step explanation:

To start off, we have to find how many times 34% can go into 100%. It can go in precisely 2.94117647059 times. Then, we take that number and multiply it by 312.8, since 312.8 is 34% of 100%. We get 920 from that, which is the answer.

Hope this helped!

A percentage is a way to describe a part of a whole. The value of x rounded to the nearest whole number is 920.

What are Percentages?

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given that the number 312.8 is 34% of x. Therefore, we can write,

34% of x = 312.8

(34/100) × x = 312.8

Multiply both the sides of the equation by 100,

(34/100) × x × 100 = 312.8 × 100

Divide both the sides of the equation by 34,

[(34/100) × x × 100] ÷ 34 = (312.8 × 100) ÷ 38

x = (312.8 × 100)/34

x = 920

Hence, the value of x rounded to the nearest whole number is 920.

Learn more about Percentages here:

https://brainly.com/question/6972121

#SPJ2

Could someone help me please?

Answers

Answer:

600

Step-by-step explanation:

So lets rememer the formula for volume of a pyramid to sovle this:

LxHxW/3

Now lets plug in our values, for L, H, and W.

15x12x10/3

So, 15x12x10 is 1800. That is the height times the length times the width.

Now, since this isnt volume of a cube, we must divide the total my 3. This is how you find the volume of a pyramid, as I said above.

So it should be:

1800/3

=

600

This is your answer.

I hope this helps : )

Good luck!

600
V=LWH
———-
3. 10x12x15
—————- = 600
3

Hope this helps

Which of the following statements is true

Answers

Answer:

2nd one and the last one

Step-by-step explanation:

please help me here dudes and dudettes

Answers

Answer:

what!!!!!!!!!!!!!!!!!! so only for dudesssssssss

A ceramic vase was originally priced at $100 but went on sale for 50% off. If Ernesto bought the ceramic vase and paid 12% sales tax, how much did he pay in total?

Answers

Answer: he payed $56 in total

Explanation:
50% of 100 is 50.
50 time 1.12 is 56

Ernesto bought the ceramic vase for $56 including 12% tax.

What is the percentage?

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, A ceramic vase was originally priced at $100 but went on sale for 50% off.

∴ The discounted price is (50/100)×100 = $50.

Now after Ernesto bought the ceramic vase he had to pay a tax of 12%.

∴ {(100 + 12)/100}×50.

= (112/100)×50.

= 56.

So he paid $56 including 12% tax.

Learn more about percentages here :

https://brainly.com/question/24159063

#SPJ2

Other Questions
Find the area of the shaded region. Round to the nearest tenth if necessary.8 in.12 in.5 in.15 in. What is the name of the planet next to the label A?Solar SystemEARTHSUNA. UranusO B. NeptuneC. JupiterdD. SaturnPlease help A rock sinks 160 feet in 20 seconds. Find the average rate of change per second. Lily plants 2 red rosebushes, 8 pink rosebushes, and 6 yellow rosebushes. What is the ratio of pink and redrosebushes to total rosebushes?A. 8 : 2B. 8 : 16C. 10 : 16D. 10 : 6 how are plains form? Investigators are interviewing a suspect about a murder. They believe that the suspect is guilty and tell the suspect information about the crime and crime scene. The suspect later confesses to the crime. What might this situation be an example of?A. Police MisconductB. Mitigating CircumstanceC. Conflict of interestD. Confession Contamination Choose all of the formulas you would use to find the volume of the compound solid shown here.V=nrnV = rV = TurnV = 47112 How do you give someone brainliest? This is not a test but pls help Based on the selections in this lesson and your own reading. what appears to be the most common point of view used in short fiction?.first personOB. second personOC. third personOD.none of the above What is the distance between (8,2.5) and (8,-5)? pls helpWrite the opposite words in the spaces provided. Then unscramble the letters marked with asterisks (*) to complete the sentence on the bottom.1. rpido: ** 2. generosa: ** 3. divertido: ** 4. tonto: ** ** 5. bonitos: **6. alta: **7. mala: ** 8. gordo: ** 9. fcil: ** 10. rubia: ** La clase de espaol es 8568Find the value of the missing angle A(n)\ is an area of the planet that shaves similar conditions of climate, fauna (animal life), flora (plant life) and geography . 1.biome 2.environment 3.habitat 4.ecosystem Brian can type 40 words a minute. How many words can be typed in 4.5 minutes? help math see image for question Diane keeps all of her toys on a shelf. The shelf is 24" long and 7" wide. If the wdith the shelf is doubled, what would happen to the total area of the shelf? Jon drove 365 miles on 20 gallons of gas. How many miles did he get per gallon?Show work pls (no links) Can somebody please help me with this question When an organism fights with another organism over a limited resource it is called?A. carrying capacityB. symbiosisC. competitionD. predator-prey relationship