Income tax returns show that the mean income of self-employed persons in a particular year was £15,000, with a standard deviation of £975. A random sample of 169 returns from people in the clothing industry gave a mean income of £14,500. Did this indicate that income from self-employment in the clothing industry was significantly different?

Answers

Answer 1

Answer:

Yes, There is significant difference.

Step-by-step explanation:

Null Hypothesis , H0 : Mean income = 15000

Alternate Hypothesis , H1 : Mean income  ≠  15000

t = (x - u) / ( s / √n)

x = sample mean = 14500 here, u = population mean = 15000 here ,             s = standard deviation =  975 here  , n = sample size

t = (14500 - 15000) / (975 / √169)

-500 / 75 = - 6.66

As  calculated t value in absolute terms is > 1.96 , ie tabulated value at 95% significance level (two sided). So we reject the null hypothesis in favor of alternate hypothesis. Hence, we state that 'Mean Income ≠  15000'


Related Questions

Solve the expressions when a = 9 and b = -3. Enter your answers in the boxes below.
A. -3b =
B. a/b + a =​

PLEASE HELP ME

Answers

Answer:

A.27

B.6

Step-by-step explanation:

A. -3(9)=27

B.9/-3+9=-3+9=6

Plug in what its says a and b is equal to

A school is looking to cater an event by having a food truck. Food truck A will charge $1.50 for each item sold and a fee of $50 to come to the school. Truck B will charge $2.75 per item but will not charge a fee to come to the school. How many items must the school purchase to have the cost of these two trucks be the same? Enter in your numerical answer.

Answers

Answer:

40 items

Step-by-step explanation:

I used the equation 1.5x+50=2.75x to find the answer. If the school were to buy 40 items from either truck, they would both amount to 110.

evaluate. (5.2 + 3) × (6.4 - 1.4) ​

Answers

Answer: 41

Hope this helps ^W^
I believe it should be 41

PLEASE I BEG OF YOU PLEASE HELP ME PLEASEE

Answers

Answer:

hmmm this is too hard for me.

Step-by-step explanation:

Which grade is this for?

Which of the following is true about the inequality below?
*>9
A. The inequality has an infinite number of solutions.
B. The inequality has no solutions.
C. The inequality has 2 solutions.
D. The inequality has 1 solution.
i need to know asap!!!

Answers

Answer:

I'm guessing A, but am not sure, as for any number can go there if it's over 9!

WILL MARK YOU BRAINIEST

Answers

Answer:

11 5/9

Step-by-step explanation:

maria had $150 in gift certificates to use in a record store.she bought fewer than 20 recordings.each tape cost $5.95 and each cd cost $8.95. how many of each type of recordings might she have bought(it has to be graphed so i need points to plot)

Answers

Answer:

keep the canon digital marketing. this was not able the first one. it has to go on, I will not

help plz plz plz will give brainliest

Answers

Answer:

An acute angle is an angle that measures less than 90 degrees

Step-by-step explanation:

Help me pleaseee! Thank you! :)

Answers

Answer:

C.) 32

Step-by-step explanation:

2^5 = 32

the answer is 32
2^5=32
Hope this helps have a good day! :)

Whoever answer this question with explanation gets marked the brainiest

Answers

Step-by-step explanation:

Classroom A has n students.

Since Classroom B has 4 less students, they have (n - 4) students.

Also Classroom C has double the students in B, so they have 2(n - 4) students.

We have A + B + C = 40.

=> n + (n - 4) + 2(n - 4) = 40

=> n + n - 4 + 2n - 8 = 40

=> 4n - 12 = 40

=> 4n = 52, n = 13.

Hence there are 13 students in Classroom A.


Please help this is due tosay

Answers

I circled the answers for you!

Please help me would be very appreciated.

Answers

Answer:

C

Step-by-step explanation:

Answer for this question is c

Which expression shows another way to write 36+16?
419) + 4
4(9+4)
6(6+8)
(6+4)(6+4)

Answers

4(9+4) bc 36+16=52
9+4=13 , 13x4=52

A number, x, is 4 times another number, y. The difference
between the two numbers is 18. What is the value of the
larger number?

Answers

Answer:

The value of the larger number is

[tex]x=24[/tex]

Step-by-step explanation:

A number, x, is 4 times another number, y.

[tex]x=4y[/tex] --------- (1)

The difference between the two numbers is 18.

[tex]x-y=18[/tex] -------(2)

Re-arranging equation (2) yields

[tex]-y=18-x\\y=x-18[/tex]------------- (3)

Substitute y=x-18 in equation (1)

[tex]x=4 (x-18)[/tex]

[tex]x=4x-72\\x-4x=-72[/tex]

[tex]-3x=-72\\x=\frac{72}{3}\\x=24[/tex]

Substitute x=24 in equation (3)

[tex]y=24-18\\y=6[/tex]

Help!!! I need this ASAP!!!!

Answers

Answer:

im not too sure but i think the answer is c

Step-by-step explanation:

23x+50x-79x=??




have a great day ​

Answers

Answer:

-6x

Step-by-step explanation:

23x+50x-79x

We take out x from the terms and group them up.

We therefore get (23+50-79)x after taking out x, and grouping the coefficients together.

Calculating 23+50-79 gets us -6, which is the coefficient of the final answer.

So the answer would be -6x.

Answer:

Step-by-step explanation:

Here you go mate,

Step 1

23x+50x-79x  Equation/Question

Step 2

23x+50x-79x  Simplify

23x+50x-79x

Step 3

23x+50x-79x  Combine terms

(23x+50x+(-79x))

Step 4

(23x+50x+(-79x))  Solve

answer

-6x

Hope it helps

What is the Slope of the line containing points Q(-4,-1) and T(0, 9)?​

Answers

Answer:

kisses -A

Step-by-step explanation:

Answer: 5/2

Step-by-step explanation: Use the slope formula

help will mark brainliest plz plz plz

Answers

Answer:

a.)2 b.)6

Step-by-step explanation:

a.) solve 7x+4=18 because EC bisects making FEC = CEG

b.) solve 12y+18=90 because AED is 90 degrees

PLEASE HELP!!!!!!!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

A

1.2^a x 2^5 =2^0

a=?

Answers

Answer:

One thing that is unclear here is whether the "1." at the start is part of the number "1.2" or if it is an enumeration of the question, and the base raised to the exponent is in fact 2.

The rest of the equation seems to indicate the latter, so we'll solve both:

If 1.2ᵃ ₓ 2⁵ = 2⁰, then a is approximately equal to -19.009.

If as I'm guessing is the correct question, 2ᵃ ₓ 2⁵ = 2⁰, then a is equal to -5.

Step-by-step explanation:

Interpretation #1:

[tex]1.2^a \times 2^5 = 2^0\\1.2^a \times 32 = 1\\1.2^a = \frac{1}{32}\\log_{1.2} \frac{1}{32} = a\\a \approx -19.009[/tex]

Interpretation #2:

Here the question is much simpler, as we need only add the exponents when adding and dividing:

[tex]2^a \times 2^5 = 2^0\\2^a = 2^0 \div2^5\\2^a = 2^{-5}\\a = -5[/tex]

All squares are also rhombuses.
True or false

Answers

Answer:

true

Step-by-step explanation:

Cause if you draw a square and turn it, its gone be a rhombus

Answer:

True

Step-by-step explanation:

A truck is carrying cranberry juice, grape juice, and pineapple juice bottles in a ratio of
7 : 2 : 3. If there are 40 grape juice bottles, then how many juice bottles in total are there?

Answers

Answer:

140

Step-by-step explanation:

7- Cranberry

2:Grape = 40 so 40/2 = 1

3:Pineapple

1= 20 juices

7+2+3 is 12

20 x 12 is 140

40/2=a factor of 20

7+2+3=12, so multiply that by a factor of 20.

20*12=240 total juice bottles is the answer

What is the image point of (-7,7) after a translation right 1 unit and down 3 units?

Answers

Answer:

(-6, 4)

Step-by-step explanation

translation rule: (x+1,y-3)

(-7+1, 7-3)

(-6, 4)

which linear inequality is represented by the graph? O y<2/3x+3 (A)
O y>3/2x+3 (B)
O y>2/3x+3 (C)
O y<3/2x+3 (D)

Answers

Answer:

C y>2/3x+3

Step-by-step explanation:

Use y=mx+b format. The B is the y-intercept. From the y-intercept (3), go up two then to the right 3. That gives you the slope, or mx which is 2/3. The area shaded is above so it would be the greater than symbol.  

Gil is reading a book that has 276 pages. on Monday, he read some pages, On Tuesday, he read twice as many pages than Monday. He plans to read 180 pages on Wednesday to finish the book.

variable-
equation-
justification-

Answers

Variable - let x equal how many pages Gil reads on Monday.

Equation
276= x + 2x + 180


276= 3x+180
X=32

Justify:

He read 2 times the amount of pages making it 2x from the original. He reads 180 to finish the book making the equation done.

Write an equation to represent the problems below and solve for the missing value:

a) Keith has $15 more than Jay. If Keith has $87, how much money does Jay have?
(Let j represent the amount of money Jay has)

Answers

Answer:

poop=pee

Step-by-step explanation:

87-15=j
j=72

If you solve the problem you get 72 therefore Jay has 72 dollars.


solve the equation by completing the square.

4x(x + 6) = -40​

Answers

Answer:

x = -6+-odmocnina36-40/2

Step-by-step explanation:

Answer:

x=10

Step-by-step explanation:

10 times -4 is -40 since if you multiply a negative number by a positive you get a negative

Step by step explanation

Answers

Answer: x = 4 and y = -3

Step-by-step explanation:

2x + 4y = -4

2x = -4 - 4y

x = -2 - 2y

Now that we have solved the first equation for x, we plug (-2 - 2y) into the other equation in place of x and then solve for y.

3(-2 -2y) + 5y = -3

-6 - 6y + 5y = -3

-y = 3

y = -3

Now that we know y, we plug it into the original equation and solve for x.

2x + 4(-3) = -4

2x + -12 = -4

2x = 8

x = 4

You can check the answer by plugging both x and y into either of the original equations.

45 point question Help Asap pic below Math

Answers

Answer:

i think 5

Step-by-step explanation:

Need help it’s really hard

Answers

Given:

[tex]OA=3[/tex] units

[tex]OA'=9[/tex] units

To find:

The scale factor of the dilation.

Solution:

From the given figure it is clear that the center of dilation is point O. Point A' is the image of point A. So,

[tex]\text{Scale factor}=\dfrac{OA'}{OA}[/tex]

Putting the given values, we get

[tex]\text{Scale factor}=\dfrac{9}{3}[/tex]

[tex]\text{Scale factor}=3[/tex]

Therefore, the scale factor of the dilation is 3.

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