In a survey of 12 people, it was found that an average of $36 was spent on their child's last birthday gift with a standard deviation of $11. Estimate the mean amount people spend on their child's last birthday gift with 80% confidence using the appropriate critical value to three decimal places. Enter your answer as equations or as numbers rounded to four decimal places.

Answers

Answer 1

Answer:

(27.3692 ; 44.6308)

Step-by-step explanation:

Mean, xbar = 36

Standard deviation, s = 11

Sample size, n = 12

Tcritical at 0.2, df = 12 - 1 = 11 ; Tcritical = 2.718

Confidence interval :

Xbar ± Margin of error

Margin of Error = Tcritical * s/sqrt(n)

Margin of Error = 2.718 * 11/sqrt(12) = 8.6308

Confidence interval :

Lower boundary : 36 - 8.6308 = 27.3692

Upper boundary : 36 + 8.6308 = 44.6308

(27.3692 ; 44.6308)


Related Questions

please help me with this question!!
“Steven's mother asked him to buy 750 grams of sugar. At the supermarket, he finds that the sugar packages give the weight in kilograms. What is the amount of sugar in kilograms that Steven needs to buy?”. i DO NOT know the answer. it would be so awesome if someone could help.

Answers

Answer:

0.75

Step-by-step explanation:

there is 1000 grams in 1 kilogram so I divided 750 by 1000 to get 0.75.

Help if you can -
8 commercials in 15 minutes
Find Unit Rate

Plzz show work!
Also, dont add any type of links

Thanks!! :D

Answers

Answer:

1.875 commercials a minute

Step-by-step explanation:

Please help! 20 points

The results of a study revealed a sample proportion of 0.43 for a sample with 78 respondents. What is the 99% confidence interval for this situation?

A.
37.39% and 48.61%
B.
33.75% and 52.25%
C.
32.01% and 53.99%
D.
28.54% and 57.46%

Answers

Answer:

i think it is b I hope it is right

Answer:

D. 28.54% and 57.46%

Step-by-step explanation:

Plato

You go to the quad on a windy day to fly a kite. You have released 40 feet of string. The string makes an angle of 36° with the ground. How high is the kite in the air? Round your answer to the nearest tenth. Show your work!.

Answers

1800 odkdkcheidncncmk

Answer:

23.51m is the height

Step-by-step explanation:

the kite creates a triangle. 40•sin(36°) = 23.51141009 and round it to 23.51

Pythagorean theorem 3d

The Flat Family’s roof is 60 feet long and 32 feet wide. The TV antenna is 30 feet tall. The wires are attached 5 feet below the top of the antenna.

Mr. Flat needs to buy wire at his local hardware store. He decides to buy an additional 10% more than the amount we calculate…so he has enough to attach each wire on each end. How much total wire should he buy? Show all of your work so that Mr. Flat can understand it, and round your answer reasonably.

Answers

Answer:

ihhrhi2rhhb4rhbur4hbur4hb43hubr4u3br

Step-by-step explanation:

Find the area of the triangle. Enter your answer in the box.

Answers

9514 1404 393

Answer:

  168 mm²

Step-by-step explanation:

The area of a triangle is half the product of the base and height. The height is measured perpendicular to the base.

  A = 1/2bh

  A = 1/2(14 mm)(12 mm)

  A = 84 mm²

The area of the triangle is 84 square millimeters.

Answer:

84 whoop lololol

Step-by-step explanation:

84 mm power 2

Which situation results in a final value of zero

Answers

Answer:

                       

Step-by-step explanation:

simplify (a-4b)(a-2b)​

Answers

the answer is a^2 - 6ab + 8b^2

10 POINTS!!!! Which polynomial represents the sum below ?

Answers

The answer is in option B.

Answer:

The right answer to this question is B

Find the area please..........................................

Answers

Answer:

Should be 216

Step-by-step explanation:

Six pounds of strawberries cost $11.94. Determine the unit rate and use it to find the price of eight pounds of strawberries.

Answers

Answer:

The unit rate is $1.99. The price of eight pounds of strawberry $15.92.

Step-by-step explanation:

To find the unit price, you divide $11.94 by 6 and you get $1.99. For eight pounds, multiply $1.99 with 8 and you get $15.92.

Answer:

$15.92

Step-by-step explanation:

First find the price of one pound. 11.94÷6=1.99 Once you find the price of 1 pound. You multiply the price of one pound 8 times. 1.99×8=15.92 Hope it helps!

Eric is studying two number patterns. Pattern A starts at 0 and has the rule "add 6." Pattern B starts at 0 and has the rule "add 3." What is the relationship between corresponding terms in the two patterns?

The terms in Pattern B are 3 times the corresponding terms in Pattern A.
The terms in Pattern B are 2 times the corresponding terms in Pattern A.
The terms in Pattern B are one third the corresponding terms in Pattern A.
The terms in Pattern B are one half the corresponding terms in Pattern A.

Answers

Answer:

D) The terms in Pattern B are one half the corresponding terms in Pattern A.

Step-by-step explanation:

Pattern A | Pattern B

0 divided by 1/2 = 0

6 divided by 1/2 = 3

12 divided by 1/2 = 6

18 divided by 1/2 = 9

24 divided by 1/2 = 12

Need answer quick please

Answers

In line 3, it will be 7x to the power 2 not 4.

So, the answer will be

[tex]{7x}^{2} + 2x - 1[/tex]

Solve the system: 35x=3y+5 49x=4y+9

PLEASE HELP NEED ASAP

Answers

Answer:

x =  1

y =10

Step-by-step explanation:

A worldwide organization of academics claims that the mean IQ score of its members is 118, with a standard deviation of 17. A randomly selected group of 40 members of this organization is tested, and the results reveal that the mean IQ score in this sample is 115.8. If the organization's claim is correct, what is the probability of having a sample mean of 115.8 or less for a random sample of this size

Answers

Answer:

0.2061 = 20.61% probability of having a sample mean of 115.8 or less for a random sample of this size

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

A worldwide organization of academics claims that the mean IQ score of its members is 118, with a standard deviation of 17.

This means that [tex]\mu = 118, \sigma = 17[/tex]

A randomly selected group of 40 members

This means that [tex]n = 40, s = \frac{17}{\sqrt{40}} = 2.6879[/tex]

What is the probability of having a sample mean of 115.8 or less for a random sample of this size?

This is the pvalue of Z when X = 115.8.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{115.8 - 118}{2.6879}[/tex]

[tex]Z = -0.82[/tex]

[tex]Z = -0.82[/tex] has a pvalue of 0.2061

0.2061 = 20.61% probability of having a sample mean of 115.8 or less for a random sample of this size

HELP! I’ll mark you brainliest! Find the area of the irregular figure.

Answers

Answer:

[tex] 177 \: cm^2 [/tex]

Step-by-step explanation:

Area of the irregular figure = Area of rectangle with dimensions 15 cm & 10 cm + Area of rectangle with dimensions (15-6-6=3) 3 cm and 2 cm + Area of triangle with base ( 2 + 2 + 3 = 7) 7 cm and height (18 - 10 - 2 = 6) 6 cm

[tex] = 15 \times 10 + 3 \times 2 + \frac{1}{2} \times 7 \times 6 \\ \\ = 150 + 6 + 21 \\ \\ = 177 \: {cm}^{2} [/tex]

Which of the statements is false about the additive identity?
A. if y is the additive identity, then x+y=x
B. the value of the additive identity is 0
C. Adding the additive identity corresponds to making no movements at all on the number line
D. it is the number you add to another number to get 0

Answers

B) If y is the additive identity is 0

hi can you please help me with my work​

Answers

the answer is the second one. 2 and 2/3

4 tran ra To make cherry trail mix, Sebastián needs 4 oz of nuts for every 3 oz of dried cherries. To make sunflower trail mix, he needs 5 oz of nuts for every 2 oz of sunflower seeds. Can Sebastián make more cherry trail mix or sunflower trail m with 20 oz of nuts? Show your work. OLUTION metale to make bronz bronz​

Answers

For starters I am not 100% sure of if this is correct I may not understand the quest so bare with me

Answer:

Cherry Trail Mix

Step-by-step explanation:

4 oz of nuts for every 3 oz of dried cherries

5 oz of nuts for every 2 oz of sunflower seeds

- Multpy the amount of nuts in each bag to 20 - Cherry Trail Mix: 4*5=20

Sunflower Trail Mix: 5*4=20

- Now multiply the amount of dried cherries and sunflower seeds by the number used to get to 20

Cherry Trail Mix: 3*5= 15 Sunflower Trail Mix: 2*4=8

- Now add up the amount of oz in each

Cherry: 20+15=35

Sunflower: 20+8=28

35oz > 28oz

HELP! WILL GIVE BRANLIEST!

Answers

Answer: I believe it is 108 good luck girl

I think the answer is 243 because to find the volume of the prism you need multiply B times h and then divide by two

Jefferson purchased a jacket originally
priced $129 on sale for $90.30. What was the
percent of discount?

Answers

The percent of discount is 70%.

5.
3. The Manhattan Island Cruise Company sold 57
tickets for its Circle-the-Island Cruise. Each adult had
to pay $22 for the cruise and each child had to pay
$10. The company's total receipts were $774. How
many children went on the cruise?

Answers

Answer:

40 children went on the cruise.

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to say that:

x is the number of adults on the cruise

y is the number of children on the cruise.

57 tickets were sold:

This means that [tex]x + y = 57[/tex], and since we want the number of children y, [tex]x = 57 - y[/tex]

Each adult had to pay $22 for the cruise and each child had to pay $10. The company's total receipts were $774.

This means that:

[tex]22x + 10y = 774[/tex]

Since [tex]x = 57 - y[/tex]

[tex]22(57 - y) + 10y = 774[/tex]

[tex]1254 - 22y + 10y = 774[/tex]

[tex]12y = 480[/tex]

[tex]y = \frac{480}{12}[/tex]

[tex]y = 40[/tex]

40 children went on the cruise.

HELPPPPPP PLZZZ, find the height of the figure below with the given volume.

Answers

The correct answer is 10


Dr. Seals borrows $15,000 to remodel her backyard. The interest rate is 3%. The interest is compounded twice a year for two years.

Answers

Answer:

what is the question?

Step-by-step explanation:

A 45 foot ladder is set against the side of a house so that it reaches up 27 feet. If Latanya grabs the ladder at its base and pulls it 3 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 24 ft.) Round to the nearest tenth of a foot.

Answers

Answer:

22.4

Step-by-step explanation:

delta math

Answer:22.4

Step-by-step explanation:

Vincent gathered groups of 1 to 8 people and gave every group the same positive salt. He recorded the number of minutes it took each you to solve the puzzle in Porter resort. What is the best description of this relationship

Answers

Answer:

Larger groups take less time

Step-by-step explanation:

If one loaf of bread requires 450g of flour determine the maximum number of loaves of bread that can be baked from 12,5kg of flour

Answers

the answer is 27 loaves. please do not open the link on the other answer! it’s a scam

Find the area of the white region in the diagram shown.

Answers

Answer:

Option 4

Step-by-step explanation:

Area of shaded region = Area of the circle - Area of the shaded triangles

Area of the circle = πr²

r = Radius of the circle

Therefore, area of the circle = π(4)²

                                               = 16π

Area of the given triangles = [tex]2[\frac{1}{2}(\text{Base})(\text{Height})][/tex]

                                             = Base × Height

                                             = (4 × 4)

                                             = 16

Area of the shaded region = 16π - 16

Option 4 will be the correct option.

2. Use the distributive property to write an expression that is equivalent to 12 + 4x.

Answers

Answer:

4(x+3)

Step-by-step explanation:

So with the distrubutive property, you look at the numbers you have, and then take the greatest common factor between the two.

So lets think about it, what goes into both 12 and 4?

2 does, but is that the greatest common factor? No.

What about 4? That goes into 12 and 4. Is it the greatest common factor? Yup it is.

So, what do we get when we take 4 from 4x? We get 1x, or just x.

How about 12? Well, when we take 4 from 12, we get 3.

Now, lets take the common greatest factor, and our two new numbers and put them back into the expression.

Remember that the greatest common factor, the one you took from the other numbers, is what goes first:

4()

Remember to put the parethese there, or else you would only be multiplying the first number by 4, and not the second.

Next lets put the other numbers in. In most expressions, you should put the x number in first, and the normal number in second. So it should now be:

4(x+3)

This is your expression.

Hope this helps! ;)

9514 1404 393

Answer:

  4(3 +x)

Step-by-step explanation:

The greatest common factor is 4, so any divisor of that can be factored out:

  12 +4x = 2(6 +2x) = 4(3 +x)

A 6 inch personal pizza has 620 calories, with 240 of those from fat. A 12 inch pizza is cut into 8 slices. Estimate the number of calories in one slice of a 12 inch pizza.

Answers

9514 1404 393

Answer:

  310 calories (120 from fat)

Step-by-step explanation:

A 12-inch pizza has double the diameter of the 6-inch pizza, so will have 2² = 4 times the area. 1/8 of that pizza will have 4/8 = 1/2 the area of the personal pizza. If calories are proportional to the area, then the slice will have ...

  (1/2)(620 calories) = 310 calories . . . in 1 slice of 12-in pizza

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