Use technology to help you test the claim about the population mean, mu, at the given level of significance, alpha, using the given sample statistics. Assume the population is normally distributed.
Claim: μ>1220;α=0.08; σ=211.67.
Sample statistics: x=1235.91,n=300
Identify the null and alternative hypotheses and calculate the standardized test statistic.

Answers

Answer 1

Answer:

H0 : μ = 1220

H1 : μ > 1220

Test statistic = 1.30

Step-by-step explanation:

Sample mean, x = 1235.91

Standard deviation, σ = 211.67

Sample size, n = 300

The hypothesis :

Null ; H0 : μ = 1220

Alternative ; H1 : μ > 1220

Tbe test statistic :

(x - μ) ÷ (σ/√(n))

(1235.91 - 1220) ÷ (211.67/√(300))

15.91 / 12.220773

= 1.3018

= 1.30


Related Questions

What is the first step in using the square root property?

Answers

Answer: Isolate the term that contains the squared variable. Then, take the square root of both sides and solve.

Step-by-step explanation:

To solve an equation by using the square root property, you will first isolate the term that contains the squared variable. You can then take the square root of both sides and solve for the variable. Make sure to write the final answer in simplified form.

please helpppppppppp

Answers

Answer:

Step-by-step explanation:

b = sqrt(2 * L)                 Given

L = 4.5                            Given

b = sqrt(2 * 4.5)

b = sqrt(9)

b = 3

Answer:

b = 9

Step-by-step explanation:

Given :-

[tex] \small \sf \: b = \sqrt{2 \it \: l} [/tex]

[tex] \small \: l = 4.5[/tex]

Solution :-

[tex] \small \sf \: b = \sqrt{2 \it \: l} [/tex]

plug the values of l in the equation

[tex] \small \sf \leadsto \: b = \sqrt{2 × 4.5} [/tex]

[tex] \small \sf \leadsto \: b = \sqrt{9} [/tex]

[tex] \small \sf \leadsto \: b = 9 [/tex]

can we say ((-16)÷4) ÷ (-2) is the same as (-16)÷ (4÷(-2)?

Answers

Answer:

no we can't

Step-by-step explanation:

(-4)÷(-2). (-16÷(-2)

2. 8

[tex]\longrightarrow{\blue{[( - 16)\div 4) \div ( - 2)] \:is\:not\:equal\:to\:( - 16) \div [4 \div( - 2) ] }}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex][( - 16 )\div 4) \div ( - 2)] = ( - 16) \div [4 \div( - 2) ][/tex]

Let us first solve for L. H. S.

[tex] = [( - 16 )\div 4) \div ( - 2)][/tex]

[tex] = [ (\frac{ - 16}{4} )\div ( - 2)][/tex]

[tex] = \frac{( - 4)}{( - 2)} [/tex]

[tex] = 2[/tex]

Now, R. H S.

[tex]( - 16) \div [4 \div ( - 2)][/tex]

[tex] = \frac{ - 16}{ - 2} [/tex]

[tex] = 8[/tex]

[tex]\sf\purple{L. H. S.\: ≠ \:R. H. S. }[/tex]

Hence, [tex][( - 16) \div 4) \div( - 2)] ≠(-16)\div [4 \div( - 2) ][/tex]

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}[/tex]

You work for a company in the marketing department. Your manager has tasked you with forecasting sales by month for the next year. You notice that over the past 12 months sales have consistently gone up in a linear fashion, so you decide to find a regression equation for the company's sales history. You find that the regression equation for the data is (sales) = 25.614*(time) + 5.499. Interpret the slope.

a. When sales increases by 1 unit, time increases by 5.499 months.
b. We are not given the dataset, so we cannot make an interpretation.
c. When sales increases by 1 unit, time increases by 25.614 months.
d. When time increases by 1 month, sales increases by 5.499 units.
e. When time increases by 1 month, sales increases by 25.614 units.

Answers

It’s A. when sales increases by 1 unit,

Given g(x) -x + 4, solve for a when g(x) = 8.​

Answers

Answer:

x = 12

Step-by-step explanation:

g(x) - × + 4 =0

put g(x) = 8

so, 8 - x + 4 = 0

x = 12

Answer:

x = - 4

Step-by-step explanation:

Given g(x) = - x + 4 and g(x) = 8 , the equate the right sides, that is

- x + 4 = 8 ( subtract 4 from both sides )

- x = 4 ( multiply both sides by - 1 )

x = - 4

Consider a student loan of 15,000 at a fixed APR of 9% for 25 years. A) Calculate the monthly payment B) Determine the tiaras amount paid over the term of the loan C) Of the total amount paid, what percentage is paid toward the principal and what percentage is paid for interest.

Answers

Answer:

The monthly payment will be $ 162.50. In turn, the interest paid will be $ 33,750, constituting 69.23% of the total amount paid.

Step-by-step explanation:

Since there is a student loan of 15,000 at a fixed APR of 9% for 25 years, to calculate the monthly payment, determine the tiaras amount paid over the term of the loan, and determine, of the total amount paid, what percentage is paid toward the principal and what percentage is paid for interest, the following calculations must be performed:

((15,000 x 0.09) x 25) + 15,000 = X

33,750 + 15,000 = X

48,750 = X

48,750 / (25x12) = X

48,750 / 300 = X

162.5 = X

48,750 = 100

33,750 = X

33,750 x 100 / 48,750 = X

69.23 = X

Therefore, the monthly payment will be $ 162.50. In turn, the interest paid will be $ 33,750, constituting 69.23% of the total amount paid.

I need to match them but I don't know how

Answers

Given:

The system of equations is:

[tex]x+3y=5[/tex]

[tex]x-3y=-1[/tex]

The given matrices are [tex]\left[\begin{array}{cc}5&3\\-1&-3\end{array}\right] [/tex], [tex]\left[\begin{array}{cc}1&5\\1&-1\end{array}\right][/tex], [tex]\left[\begin{array}{cc}1&3\\1&-3\end{array}\right][/tex].

To find:

The correct names for the given matrices.

Solution:

We have,

[tex]x+3y=5[/tex]

[tex]x-3y=-1[/tex]

Here, coefficients of x are 1 and 1 respectively, the coefficients of y are 3 and -3 respectively and constant terms are 5 and -1 respectively.

In the x-determinant, the coefficients of x are in the first column and the constant terms are in the second column. So, the x-determinant is:

[tex]\left[\begin{array}{cc}1&5\\1&-1\end{array}\right][/tex]

In the y-determinant, the constant terms are in the first column and the coefficients of y are in the second column. So, the y-determinant is:

[tex]\left[\begin{array}{cc}5&3\\-1&-3\end{array}\right] [/tex]

In the system determinant, the coefficients of x are in the first column and the coefficients of y are in the second column. So, the system determinant is:

[tex]\left[\begin{array}{cc}1&3\\1&-3\end{array}\right][/tex]

Therefore, the first matrix is y-determinant, second matrix is x-determinant and the third matrix is the system determinant.

NEED HELP ASAP

6 th grade mathematics question

Answers

Answer:

B, 8 (2a+3b).

Step-by-step explanation:

First, let's let A=1 and B=2. 16a+24b would equal 64, and so would B, which is 8 (2a+3b). Then lastly you solve, and you get 64 for both of them, which means B is equal to that expression.

Answer:

B

Step-by-step explanation:

8(2a) = 16a

8(3b) = 24b

16a + 24b

Help me pls this is hard

Answers

Answer:

I guess it is the Answer C

Answer:

C

The distance around the edge of the circle

Why should people conserve energy? (Please don’t get the answer form the internet)

Answers

People should conserve energy because it produces a higher quality of life. Reduced emissions result in cleaner air quality. It also helps create a healthier planet and helps sustain resources we have.

What’s the domain of the function?

Answers

Answer:

domain of function refers to the various values that can be passed through to the function.

Step-by-step explanation:

What statement is true about the following pair of rectangles

Answers

Answer:

The second choice

Step-by-step explanation:

For this, we can use the process of elimination. The first choice is crossed out, since they are mix and matching the numbers. The third choice is also crossed out since the second choice is correct. The second choice is correct because 9/11*3=27/33.

Answer:

They are similar because 9/11 = 27/33

solve marked question only !
plz

Answers

Answer:

hello ok I will share u the link where u can find step by step answers

Answer:

The angle of elevation of the top of a tower from a point on the ground, which is 30 m away from the foot of the tower, is 30°. Find the height of the tower.

A Let tower be AB

Let point be C

Distance of point C from foot of tower = 30m Hence,

BC = 30m

Angle of elevation = 30°

So < ACB = 30°

Since tower is vertical,

< ABC = 90°

For which value of m does the graph of y = 18x2 + mx + 2 have exactly one x-intercept?

Answers

Answer:

m = +/- 12

Step-by-step explanation:

A quadratic function has only one x-intercept when the discriminant is equal to 0. The discriminant is b^2 - 4(a)(c).

When we plug in what we know, we have:

m^2 - 4(18)(2) = 0.

Then using algebraic properties, solve for m.

m^2 - 144 = 0

m^2 = 144

m = +/- 12

When you plug in positive or negative 12, and then factor you will see that it comes out to a difference of squares, proving that there is only one x-intercept.

Answer: C

Step-by-step explanation:

EDGE 2023

Find the zeros of the quadratic function: y = 6x2 + x – 35.

Answers

The zeros of the quadratic function: y = 6x^2 + x – 35 are x = -2.5 or x = 7/3

How to determine the zeros?

The function is given as:

y = 6x^2 + x - 35

Expand the function

y = 6x^2 + 15x - 14x - 35

Factorize the function

y = (2x + 5) * (3x - 7)

Set the function to 0

(2x + 5) * (3x - 7) = 0

Split

2x + 5 = 0 or 3x - 7 = 0

Solve for x

x = -2.5 or x = 7/3

Hence, the zeros of the quadratic function: y = 6x^2 + x – 35 are x = -2.5 or x = 7/3

Read more about quadratic functions at:

https://brainly.com/question/1214333

#SPJ1

Bryan is sitting on a bench in the mall. He noticed that 18 out of the last 60 men who walked by had a beard . Considering this data how many of the next 90 men who walk by should Bryan expect to have a beard?

Answers

Answer:

27

Step-by-step explanation:

every 30 men = 9 men with beards

you have 30 3 times in 90 so you get 27

60÷2=30

18÷2=9

30 men normal = 9 men with beards

90÷30=3

3×9=27

Y=x^3+x what's the domaine and range

Answers

domain is  (- infinity, infinity)

range is (- infinity, infinity)

What is the least common denominator of rational expressions with the given denominators? 4a^2, 6a, and 10b
( please do not respond to this if you are going to spam my question)

Answers

Iondont know sorryy

Which expression is equivalent to 4p^-4 10q -3? Assume ​

Answers

Step-by-step explanation:

Derive an expression for the equivalent width in a saturated line. Assume a Voigt profile, with the difference in optical depth between the center of the line and the wings being ~104. The wings of the line can be ignored. Define a frequency x1 = (v1 − v0)/ΔvD, where the optical depth τv = 1. Inside of x1 the line is fully saturated, and outside x1 the line is optically thin. Show that the equivalent width is

Note that the equivalent width is practically insensitive to the number density of absorbing material.

Out of 90 civil servants, 65 were working in the office, 50 were working in the field and 35 were working in both the premises (sites). How many civil servants were absent? How many civil servants were working in the field only? Represent the above information in the Venn diagram. 1​

Answers

Answers:

10 people absent15 people working in the field onlySee the below image for the venn diagram

=======================================================

Explanation:

35 people are working in both places. 50 work in the field or both, so 50-35 = 15 people work solely in the field. 65 work in the office or both, so 65-35 = 30 people work solely in the office

So far that accounts for 15+30+35 = 80 people who work in the field, the office, or both.

The remaining 90-80 = 10 people are absent.

The venn diagram is below.

The sum of two numbers is 56. Seven times the smaller number is 12 more than three times the larger number. Find the numbers.

Answers

X+y=56
7x-12=3y
7x-3y=12

3x+3y=168
7x-3y=12

10x=180
X=18

56-18=y
Y=38

Answer:

x = 18

y = 38

Step-by-step explanation:

Let the smaller number be = x

Let the larger number be = y

Sum of the number, x + y = 56 --------- ( 1 )

Seven  times smaller number = 7x

Three times larger number = 3y

Seven times smaller = 12 more than 3times larger , 7x = 12 + 3y ----- ( 2 )

Solve ( 1 ) and ( 2 )

x + y = 56  => x = 56 - y

Substitute x in ( 2 )

7x - 3y = 12

7(56 - y) - 3y = 12

392 - 7y - 3y = 12

-10y =  12 - 392

-10y = - 380

y = 38

Substitute y in ( 1 )

x + y = 56

x + 38 = 56

x = 56 - 38

x = 18

Let V be the set of all 3x3 matrices with Real number entries, with the usual definitions of scalar multiplication and vector addition. Consider whether V is a vector space over C. Mark all true statements (there may be more than one).

a. The scalar closure axiom is satisfied
b. The additive inverse axiom is not satisfied
c The additive inverse axiom is satisfied
d. The additive closure axiom is not satisfied
e. The scalar closure axiom is not satisfied
f. The additive closure axiom is satsified
g. V is not a vector space over C
h. V is a vector space over C
i. The zero axiom is satisfied
j. The zero axiom is not satisfied

Answers

Answer:

the Scalar Closure axiom is not satisfiedV is not a Vector Space of CThe Additive Closure axiom is satisfied.

Step-by-step explanation:

According to the Question,

Given That, Let V be the set of all 3x3 matrices with Real number entries, with the usual definitions of scalar multiplication and vector addition. Consider whether V is a vector space over C.For V is a vector space over C and V is Set of 3x3 Matrices with Real entries.

Then, For any u,w ∈ V ⇒ u+w ∈ V

And u∈V and z∈C ⇒ z u ∈ V

So, If we take any z= i ∈ C

and V be any 3x3 matrices with Real entrices.

then, z,v ∉ V  ∴z,v Has Complex entries

So, the Scalar Closure axiom is not satisfied

Hence, V is not a Vector Space of C

Any u,w ∈ W ⇒ u+w ∈ V

So, The Additive Closure axiom is satisfied.

Can I have help I am stuck on this problem It would mean the world if u helped me and tysm!! =-)

Answers

Answer : 424.875 miles

The problem states that Brian can travel ‘27.5’ miles per gallon, and his tank can only hold ‘15.45’ gallons of fuel.

To find the miles he can travel, all you have to do is multiply the miles he can travel per gallon (27.5) by the gallons he has in the tank (15.45).

This gives you the answer of 424.875 miles.

Answer:

27.5 miles per gallon

1 full tank = 15.45 gallons

27.5 x 15.45 = 424.875 miles

rounded to the nearest 100th: 424.88 miles

nearest 10th: 424.9 miles

nearest whole #: 425 miles

Can someone help I forgot what formal to use?

Answers

Answer:

1) V = 336mm

2) V = 64.33ft

Step-by-step explanation:

1) V = lwh + lwh

V = 4(6)(5) + 9(6)(4)

V = 120 + 216

V = 336mm

2) V = [tex]\frac{1}{3}[/tex][tex]\pi[/tex][tex]r^{2}[/tex]h +  

Cone = [tex]\frac{1}{3}[/tex][tex]\pi[/tex][tex]r^{2}[/tex]h

Cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h

V = [tex]\frac{1}{3}[/tex][tex]\pi[/tex][tex](1.5)^{2}[/tex](3) +

V = [tex]\pi[/tex][tex](1.5)^{2}[/tex] +

V = 7.07 + 57.26

V = 64.33ft

Are the triangles congruent? Why or why not?

Answers

Answer:

Yes, because they are identical to eachother

Step-by-step explanation:

Yes, if you add all the angles together they would be the same

See the image for the question

Answers

Answer:

The value of equipment after 2 years is $58,800

Step-by-step explanation:

f(n) = 67,500(14/15)ⁿ

where f(n) is the value after n years.

1 – 1 / 15 = 14 / 15.

Help me pleassseeeee

Answers

Answer:

8x+(-20x)

Step-by-step explanation:

How to solve and answer

Answers

Answer:

The corrects answers are: C, D, E, F

Step-by-step explanation:

Một hộp đựng 10 phong bì bốc thư trúng thưởng trong đó 3 phong bì đựng 500 nghìn 7 phong bì đựng 100 nghìn. Bốc ngẫu nhiên liên tiếp hai phong bì. Nếu biết phong bì thứ hai có 500 nghìn, tìm xác xuất để phong bì đầu tiên cũng có 500 nghìn?

Answers

I can't understand tell me in english

1.What are the coordinates of the vertices of ABC? Use the coordinates to find the lengths of AC and AB .
2.Use the distance formula to find BC. Show your work.

Answers

Answer/Step-by-step explanation:

1.

✔️Coordinates of vertices ABC:

A(2, 2)

B(6, 2)

C(2, -1)

✔️AC = |2 - (-1)| = 3 units

AB = |2 - 6| = 4 units

2. Distance formula => [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Distance between B(6, 2) and C(2, -1):

[tex] BC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Where,

[tex] B(6, 2) = (x_1, y_1) [/tex]

[tex] C(2, -1) = (x_2, y_2) [/tex]

[tex] BC = \sqrt{(2 - 6)^2 + (-1 - 2)^2} [/tex]

[tex] BC = \sqrt{(-4)^2 + (-3)^2} [/tex]

[tex] BC = \sqrt{16 + 9} = \sqrt{25} [/tex]

[tex] BC = 5 units [/tex]

Answer:

The person above me has the correct answer and solves it in the correct way.

Step-by-step explanation:

This is what I used as my answer though.

Distance Formula: d = √(x2-x1)^2 + (y2-y1)^2 

BC = √(x2-x1)^2 + (y2-y1)^2 

B = (6,2)

C = (2,-1)

BC = √(2-6)^2 + (-1-2)^2 

BC = √(-4)^2 + (-3)^2 

BC = √16+9

BC = √25

BC = 5

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