Given the sample mean = 21.15, sample standard deviation = 4.7152, and N = 40 for the low income group,Test the claim that the mean nickel diameter drawn by children in the low income group is greater than 21.21 mm. Test at the 0.1 significance level.Identify the correct alternative hypothesis:p=21.21p=21.21μ>21.21μ>21.21μ=21.21μ=21.21μ<21.21μ<21.21p<21.21p<21.21p>21.21p>21.21

Answers

Answer 1

Answer:

Null hypothesis:

[tex]\mathtt{H_o : \mu = 21.21}[/tex]

Alternative hypothesis

[tex]\mathtt{H_1 : \mu \geq 21.21}[/tex]

t = -0.080

Decision Rule: To  reject the null hypothesis if t > 1.340 at t

Since t = -0.080, this implies that t < 1.340 that means the t statistics value did not fall into the rejection region. Hence, we fail to reject the null hypothesis at the level of significance 0.10

Conclusion: We conclude that there is insufficient evidence to support the claim that the mean nickel diameter drawn by children in the low-income group is greater than 21.21 mm.

Step-by-step explanation:

Given that:

the sample mean [tex]\overline x[/tex] = 21.15

the standard deviation [tex]\sigma[/tex] = 4.7512

sample size N = 40

The objective is to test the claim that the mean nickel diameter drawn by children in the low-income group is greater than 21.21 mm.

At the level of significance of 0.1

The null hypothesis and the alternative hypothesis for this study can be computed as follows:

Null hypothesis:

[tex]\mathtt{H_o : \mu = 21.21}[/tex]

Alternative hypothesis

[tex]\mathtt{H_1 : \mu \geq 21.21}[/tex]

This test signifies a one-tailed test since the alternative is greater than or equal to 21.21

The t-test statistics can be computed by using the formula:

[tex]t= \dfrac{\overline x - \mu }{\dfrac{\sigma}{\sqrt{n}}}[/tex]

[tex]t = \dfrac{21.15- 21.21 }{\dfrac{4.7152}{\sqrt{40}}}[/tex]

[tex]t = \dfrac{-0.06 }{\dfrac{4.7152}{6.3246}}[/tex]

t = -0.080

degree of freedom = n - 1

degree of freedom =  40 - 1

degree of freedom = 39

From the t statistical tables,

at the level of significance ∝ = 0.1 and degree of freedom df = 39, the critical value of [tex]\mathtt{{T_{39,0.10} = 1.304}}[/tex]

Decision Rule: To  reject the null hypothesis if t > 1.340 at t

Since t = -0.080, this implies that t < 1.340 that means the t statistics value did not fall into the rejection region. Hence, we fail to reject the null hypothesis at the level of significance 0.10

Conclusion: We conclude that there is insufficient evidence to support the claim that the mean nickel diameter drawn by children in the low-income group is greater than 21.21 mm.


Related Questions

Please answer the last conversion !! 531 ms to s

Answers

Answer:

0.531 s

Hope it helped u if yes mark me BRAINLIEST

0.531
Hope this help

During its first year in business, Alice's restaurant shows a loss of $12,000. During its second year, the restaurant makes a profit of $23,200, and during its third year, the restaurant shows a loss of $1,200. What is the net profit of the restaurant during its first three years in business?

Answers

Answer:

$10,000

Step-by-step explanation:

-12,000+23,200-1,200= 10,000

The profit of the restaurant during it's first 3 years is 9800 dollars.

What is profit and loss ?

When the amount of money we get is more than what we have invested is more we have profit and when the amount of money we get is less than what we have invested we have loss.

Let us assume Alice start with a net profit or or of 0 dollars.

During its first year in business, Alice's restaurant shows a loss of 12,000 dollars.

∴ He is in loss of (0 - 12000) dollars which is

= - 12000 dollars.
During its second year, the restaurant makes a profit of 23200 dollars.

∴ His net profit is

= ( -12000 + 23000 ) dollars.

= 11000 dollars.

During its third year, the restaurant shows a loss of 1200 dollars so his ne profit is

= ( 11000 - 1200 ) dollars

= 9800 dollars.

learn more about profit and loss here :

https://brainly.com/question/13934673

#SPJ2

choose all the expression with a difference less than 5

8.3
- 4.07

9.33
-3.99

7.1
- 2.603

12.3
- 7.08

7.005
- 2.005

Answers

Answer:

a and c

a and c are the expressions with a difference less than 5

Step-by-step explanation:

a) 8.3-4.07=4.23

b) 9.33-3.99=5.34

c) 7.1-2.603=4.497

d) 12.3-7.08=5.22

e)7.005-2.005=5

Hope this helps ;) ❤❤❤

Write the following set using roster notation. Do not include repeats.
A is the set of odd integers between 4 and 12.

Answers

Answer:

The Set of Natural Numbers: {1, 2, 3, 4, 5, . . .}

The Set of Whole Numbers: {0, 1, 2, 3, 4, 5, . . .}

The Set of Integers: {. . . , −5, −4, −3, −2, −1, 0, 1, 2, 3, 4, 5, . . .}

Step-by-step explanation:

Need help thank you!

Answers

Answer:

$216

Step-by-step explanation:

We know that the cost of an outfit for one team member is 10 + 26 + 18 = $54, therefore, the cost of outfits for all 4 team members will be 54 * 4 = $216.

There are 20 triangles and 4 squares. What is the simplest ratio of squares to total shapes

Answers

Answer:

1/6

Step-by-step explanation:

Given:

Number of squares = 4Number of triangles = 20

Total

Number of total shapes = 20 + 4 = 24

Ratio of squares to total shapes:

4/24 = 1/6

Answer:

1:6

Step-by-step explanation:

There are 20 triangles and four squares, so we know the first part of the ratio is 4. The total number of shapes is 24, so we get 4:24, and if we simplify, we then get 1:6.

Hope this helps!

Select the relationship that does represent a function

Answers

the 4th one is a relationship that is a fuction I think

Answer:

4th image

Step-by-step explanation:

the others cannot be functions since one domain cannot be in two ranges

Consider the composite function (g (x) ) = StartRoot StartFraction 1 Over x squared minus 3 EndFraction EndRoot. If g(x) = x2 – 3, what is f(x)?

Answers

Answer:

C ON EDGE 2020

The function f(x) = [tex]\sqrt{1/x}[/tex] if, F[g(x)] = [tex]\sqrt{(1/x^2 - 3)}[/tex], g(x) = x² - 3, so option C is correct.

What is a function?

The function is a relationship between a set of potential outputs and a set of possible inputs, where each input has a single relationship with each output. This means that if an object x is present in the set of inputs (also known as the domain), then a function f will map that object to exactly one object f(x) in the set of potential outputs (called the co-domain).

Given:

F[g(x)] = [tex]\sqrt{(1/x^2 - 3)}[/tex]

g(x) = x² - 3

Put the value of g(x) in all the options and check whether it is equal to F[g(x)]  as shown below,

Put it in option 3,

f{g(x)} = [tex]\sqrt{(1/x^2-3)}[/tex]

Thus, f(x) = [tex]\sqrt{1/x}[/tex]

To know more about function:

https://brainly.com/question/5975436

#SPJ2

If the ratio of boys to girls at the school is 2:5 and there are 40 boys how many girls are there?

Answers

Answer:

100 girls

Step-by-step explanation:

The ratio of boys : girls is 2 : 5.

In other words, boys are 2 parts of the school while girls are 5 parts of the school.

Since there are 40 boys, 2 parts of the school is 40. Thus:

[tex]2p = 40\\p = 20[/tex]

1 part is 20.

Since there are 5 parts girls, there are

[tex]5p = 5*20 = 100[/tex]

100 girls.

Answer: 100 girls

The total number of students in school is 140 and number of girls at the school is equal to 100.

What do you mean by ratio ?

Ratio is the quantitative relationship between two values indicating how frequently one value contains or is contained within the other.

It is given that the ratio of boys to girls at the school is 2:5.

Let's assume the total number of students in school is x.

We now need to find the number of girls in the school but before that we must try to find the total number of students in the school.

Sum of ratios = 2 + 5 = 7

It is given that there are 40 boys in students.

2/7 of the total number of students are boys.

i.e., the expression can be written as :

2x / 7 = 40

2x = 40 × 7

2x = 280

x = 140

The total number of students in school is 140.

So , the number of girls in school is :

= 140 - 40

= 100

There are 100 girls in the school.

Therefore , the total number of students in school is 140 and number of girls at the school is equal to 100.

Learn more about ratios here :

https://brainly.com/question/26460724

#SPJ2

5. The Robin's Nest Nursing Home had a fundraising goal of $9,500. By the
end of the fundraiser, they had exceeded their goal by $2,100. How much
did they raise?

Answers

They raised $11,600.

You are trying to estimate the average amount a family spends on food during a year. In the past the standard deviation of the amount a family has spent on food during a year has been approximately $900. If you want to be 99% sure that you have estimated average family food expenditures within $50, how many families do you need to survey? Round your answer up to the nearest whole number, if necessary.

Answers

Answer:

the number of families needed for the survey is 2,157

Step-by-step explanation:

The computation of the number of families needed for the survey is shown below:

Given that

The Standard deviation is $900

Service level = 99%

z value at 99% = 2.58

Expenditures = $50

Based on the above information

The number of families needed for the survey is

[tex]n = (\frac{zs}{E})^2\\\\= (\frac{2.58\times 900}{50})^2[/tex]

= 2,157

Hence, the number of families needed for the survey is 2,157

i already know the answer, its increasing by 4 but i dont know how to write the answer.​

Answers

Answer: m+3

Step-by-step explanation:

Since the jump from each number increases by 3, you would write m+3, since m is indicated in the pattern.

What is 78 divided by 4.68

Answers

Answer:

16.67

Step-by-step explanation:

78 / 4.68

= 7800 / 468

= 16.67

When 78 is divided by 4.68 it gives 16.67 as a result.

Division

From the four basic operations of arithmetic, the division is one. The division is generally done when we want to distribute something in equal portions.

therefore, 78 divided by 4.68 can be solved as,

Given to us

78 divided by 4.68

[tex]78\div 4.68\\\\=\dfrac{78}{4.68}\\\\=\dfrac{78}{\dfrac{468}{100}}\\\\\\=\dfrac{78 \times 100}{468}\\\\=\dfrac{7800}{468}\\\\=16.6667 \approx 16.67[/tex]

Hence, when 78 is divided by 4.68 it gives 16.67 as a result.

Learn more about Division:

https://brainly.com/question/369266

What number belongs in the box to make the equation true? 2 7 3 5​

Answers

It would be 5, because 2 +3 =5 and 7-2=5

−2(2x + 5) − 3 = −3(x − 1)

Answers

Answer:

x =-16

Step-by-step explanation:

[tex]-2(2x + 5) - 3 = -3(x -1)[/tex]

Expand

[tex]\mathrm{Expand\:}-2\left(2x+5\right)-3:\quad -4x-13\\\\\mathrm{Expand\:}-3\left(x-1\right):\quad -3x+3\\\\-4x-13=-3x+3[/tex]

Collect like terms and simplify

[tex]-4x+3x =3+13\\-x =16\\[/tex]

Divide both side by -1

[tex]\frac{-x}{-1}=\frac{16}{-1}\\\\x =-16[/tex]

Simon used 13 pears and 9 apple to make fruit salad. What was the ratio of the number of apple to the number of fruit in the fruit salad?

Answers

Answer:

13:9

Step-by-step explanation:

The ratio of the number of apples to the number of fruits in the fruit salad is given by the equation A = 9 : 22

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the ratio of number of apples to the number of fruits be A

Now , the proportion will be

The number of pears = 13 pears

The number of apples = 9 apples

Now , the number of fruits = number of pears + number of apples

Substituting the values in the equation , we get

The number of fruits = 13 + 9 = 22

Now , the proportion of apples to fruits A is

Ratio of the number of apples to the number of fruits in the fruit salad A = number of apples : number of fruits

Substituting the values in the equation , we get

Ratio of the number of apples to the number of fruits in the fruit salad

A = 9 / 22

A = 9 : 22

Therefore , the value of A is 9 : 22

Hence , the proportion is 9 : 22

To learn more about proportion click :

https://brainly.com/question/7096655

#SPJ2

3. Two fair dice are thrown once, find the probability of getting a total score greater than 5

Answers

Answer:

26/36

Step-by-step explanation:

The probability of something = the amount of favourable outcomes/total possible outcomes.

The total number of dice combinations is 36 (6x6).

In this case there are more outcomes more than 5 than less than 5 so for the sake of simplicity we are going to find the number of outcomes less than 5 and then find the inverse.

There are only 10 possible dice combos which add to totals 5 or under:

1,1 1,2 2,1 1,3 3,1 1,4 4,1 2,2 2,3 and 3,2

That means there is a 10/36 probability of getting a total score less than 5 so to get the probability of getting more than 5, we just do 36/36 - 10/36 (because all probabilities add to 1)

Therefore there is a 26/36 probability that the toatals will add to greater than 5.

Alternatively you could also draw up a possibilities table and count the favourable outcomes.

Hope this helped!

Answer:

13/18.

Step-by-step explanation:

The favourable outcomes are (1,5) (1,6) (2,4) (2,5) (2,6) (3,3) (3,4) (3,5) (3,6) (4,2)(4,3) (4,4) 4,5) (4,6) 5,1) (5,2) 5,3) (5,4) (5,5) (5,6 )(6,1) to (6,6).

= total of 26.

As the total of all possible outcomes is 36 the answer is 26/36

= 13/18.

Given A is between Y and Z and YA= 14x, AZ= 10x, and YZ= 12x + 48, find AZ

Answers

Answer:

96

Step-by-step explanation:

The value of AZ will be 40.

A is a point between Y and Z and YA = 14x , AZ = 10x and YZ = 12x + 48.

We have to calculate the value of AZ.

What is the value of MP , if N is the midpoint of M and P ?

The value of MP will be equal to the summation of NM and NP i.e., MP = NP + NM .

As per the question ;

A is the midpoint of Y and Z.

⇒ AZ + YA = YZ

⇒ 10x + 14x = 12x + 48

24x = 12 x + 48

⇒ 12x = 48

x = 4

So ,

The value of AZ will be ;

AZ = 10 × 4

AZ = 40

Thus , the value of AZ will be 40.

To learn more about line segments click here ;

https://brainly.com/question/17374569

#SPJ2

400 thousands + 600 thousands in standard form​

Answers

Answer: 1 million

Step-by-step explanation:

Answer:

1,000,000

Step-by-step explanation:

Step 1:

400,000 + 600,000 = 1,000,000

Answer:

1,000,000

Hope This Helps :)

Simplify the following:

1.4 : 0.21

best answer gets brainliest.

Answers

Answer:

1.4/0.21= 140/21= 20/3

Step-by-step explanation:

Answer:

20:3

Step-by-step explanation:

decimal points can't be ratios so we have to convert to whole numbers:

so 1.4:0.21 becomes:

140:21

after simplifying fully( i divided both sides by 7) we come to 20:3.

4 - m/2 = 10

Please help!!

Answers

Answer:

M=3

Step-by-step explanation:

4-m/2=10subtract 4 from each sideget m/2=6then divide 2 from 6 and get m=3

Hope this helps:)

The correct answer is M=3

33

56

Find the unknown side length, x. Write your answer in simplest radical form.

A 2047

B. 60

С.

5169

D. 65

Answers

Answer:

D. 65

Step-by-step explanation:

The question lacks the appropriate diagram. Find the diagram attached.

The triangle is a right angled triangle that is made of of three sides namely the opposite, the adjacent and the hypotenuse (the longest side). According to the diagram, the longest side is the side with length x. To get the side length x, we will use the Pythagoras theorem as shown;

hyp² = opp²+adj²

hyp² = 33²+56²

x² = 1089+3136

x² = 4225

take the square root of both sides

√x² = √4225

x = 65

Hence the unknown side length x is 65

Evaluate the expression when a=2 and b=20

Answers

50(2) -2(20) +6 = ?
100 - 40 + 6 = ?
60 + 6 = ?
66

What are the graphs to these?

Answers

Answer:

The graph is in the image

Step-by-step explanation:

[tex]y = \frac{3}{5} x -3\\\\2x -y =-4\\\\y=-6,\:x=-5\\[/tex]

Seven more than three times a number is 25. What is the number?

Answers

The answer is 6

Explanation
3 x 6 is 18
18 +7 is 25

Sally hopes to buy a 10 - kayak for $15,000. Describe all the numbers that when round to the nearest hundred are 15,000

Answers

Answer:

All the numbers ranging from 14,500 to 15444 would be rounded to 15000

Step-by-step explanation:

All the numbers ranging from 14,500 to 15444 would be rounded to 15000.

How this is possible.

1) all the numbers from 0-4 are not counted as the next number when rounded off.

2) all the numbers from 5-9 are counted as the next number when rounded off.

Example Suppose we have numbers from 15- 19.

These numbers can be rounded off to 20

But numbers from 10-14 would never be rounded off to 20 instead they are rounded as 10.

Same happens in the hundreds case.

If we have numbers from 450 - 499 they can be rounded as 500

And numbers from 400 - 444 cannot be rounded as 500  but the number 445 may be rounded as 450 . When we carry  5 from units place and replace it as 450 then again 450 can be rounded to 500.

Same happens with 15000  but when are rounding nearest hundred not ten.

Thus all the numbers ranging from 14,500 to 15444 would be rounded to 15000.

While riding her bike to the ocean and back home 6 times, Mandi timed herself at 52min, 54min, 53min, 51min, 53min, and 43min. She had set a goal of averaging 51 minutes for her rides. How many minutes will she need to spend on her seventh ride to attain her goal?

Answers

Answer:

306 min

Step-by-step explanation:

Jamie invests part of $10,000 at 9% annual interest and the rest at 8%. If his annual income from
these investments is $860, how much does he invest at 8%?

Answers

Answer:

$4000

Step-by-step explanation:

Assuming a = money invested at 9%

Assuming b = money invested at 8%

then we can form am equation from the question given

1) a + b = $10000, also

0.09a + 0.08b = $860 -> multiply by 100

2) 9a + 8b = $86000

Next we try to solve both equations simultaneously. We multiply both the left hand side and the right hand side of the first equation by 8. We have

3) 8a + 8b = $80000, now we subtract 3 from 2

9a + 8b = $86000

-8a - 8b = -$80000

a = $6000.

Then, we plug this in any of the first 2 equations, to get b

9 * $6000 + 8b = $86000

$54000 + 8b = $86000

8b = $86000 - $54000

8b = $32000

b = $32000/8

b = $4000.

Therefore, he invested $4000 at 8%

The average cost of an item is defined as the total cost to produce divided by the number produced.A shoe company that pays $240,000 in rent and employee salaries per year figures it also must pay $3.50 in materials per shoe set it produces Write the equation needed to solve the problem. Use the equation to find the number of shoe sets the company would need to produce for the average cost of each set to be $7.50. Work out the problem, show all of your steps, and provide explanations.

Answers

Answer:

Step-by-step explanation:

Average cost = Total cost to produce / number of items produced

Fixed cost per year = $240,000

Variable cost = $3.50s

Where s = number of shoes produced

Total cost= fixed cost + variable cost

Total cost = $240,000 + $3.50s

When average cost = $7.50

Average cost = Total cost to produce / number of items produced

7.50 = $240,000 + $3.50s / s

Cross product

7.50s = $240,000 + $3.50s

Collect like terms

7.50s - 3.50s = 240,000

4s = 240,000

divide both sides by 4

s = 240,000 / 4

= 80,000

s = 80,000

Find the LCM and HCF.
(a) p3 + 8 and p2 - 4​

Answers

Answer:

In bold below.

Step-by-step explanation:

p^2 - 4 = (p - 2)(p + 2)

Note that 8 = 2^3 so

p^3 + 8 = ( p + 2)(p^2 + 4 - 2p)

So The HCF is p + 2.

The LCM =  (p + 2)(p - 2)(p^2 + 4 - 2p)

Other Questions
What is used to determine whether a potential solution to a problem will actually work? Can some please help quick!I need to find the control group for the three experiments. Please help Ill give brainliest!! plz help me I need it urgently Simplify the expression to a polynomial in standard form:(3x 2)(22 - 2x + 1)Please answer Read the excerpt from Paolos personal narrative, The Amusement Park. The first time I rode a roller coaster, I was nine years old. I remember feeling both terrified and excited. I had goosebumps, and the hairs on my arms were standing straight up. My sister and I waited in line for an hour, which only made me more nervous. Which sentence is the best example of a vivid sensory detail? The first time I rode a roller coaster, I was nine years old. I remember feeling both terrified and excited. I had goosebumps, and the hairs on my arms were standing straight up. My sister and I waited in line for an hour, which only made me more nervous. How did Anna Quindlen introduce what she called the first strain of behavior that promotes the concept of unity? if an atom has two additional valence electrons than the original element has, what would be the charge of the atom This is an excerpt from a journal kept by one of the menin de Soto's party. Here, the explorer discusses hisimpressions of the Savannah River region.The country was delightful and fertile, having goodinterval lands upon the streams; the forest was open,with abundance of walnut and mulberry trees....To all it appeared well to make a settlement there... [it]is a good country, and one fit in which to raise supplies;but Soto, as it was his object to find another treasure likethat of Atabalipa, lord of Peru, would not be content withgood lands nor pearls, even though many of them wereworth their weight in gold.- The Expedition of Hernando de Soto,1557What was this Spanish explorer's impression of theSavannah River region?It was an area rich in natural resources that couldprovide many supplies.The farmland was poor, and the forests had fewuseful tikesThe area was filled with a great deal of gold andsilver to send back to Spain.The area was a poor choice for a Spanishsettlement the what is the one factor that can be manipulated by the experiment Who were the Mormons? What are some environmental factors that we need to consider during physical activity ? 20 POINTS AND BRAINLIEST Ed has 93 marbles. In which sequence can he arrange them in to use all the marbles? How is the function of the Endoplasmic Reticulum similar to a structure in a city? Give an analogy. Justify your answer. * 100 points Which colonial document was the first in which the signers gave their consent to be governed according to the decisions made by their leaders? Which point is an x-intercept of the quadratic function f(x)=(x-8)(x+9) ^^^ the image above plz help ASAP thanks :)) 16. The difference of two numbers is 3 and thedifference of their square is 69. Find thenumbers. HELP ME ASAP FOR BRANETEST * LYCANROC* What does the 17 amendment say Hi! I really need help with figuring out how to do #2, I just don't get how it's done and really need an explanation! thanks in advance :)