Mathematics College

According to the US Bureau of Labor statistics, the average weekly earning of a production worker in 1997 were $424.5. Suppose a labor researcher wants to test to determine whether this figure is still accurate today .The researcher randomly selected 54 production workers from across the United States and obtained a representative earning statement for one week from each. The resulting sample average is $432.69. Assuming population Standard deviation is 33.90. and a 5% level of significance, To determine whether the mean weekly earnings of the production worker have changed.

Required:
To determine whether the mean weekly earnings of the production worker have changed, what would be the value of test statistics?

Answers

Answer 1

Answer:

test statistic is 1.775

Step-by-step explanation:

Bar x = 432.69

Standard deviation sd = 33.90

N = 54 production workers

Null hypothesis:

H0: μ = 424.5

Alternate hypothesis

H1: μ not equal to 424.5

Test statistic

= 432.69-424.5/sd/√n

= 8.19/33.9/√54

= 8.19/33.9/7.348

8.19/4.6135

= 1.7752

This is the value of our test statistic

When we test this with level of significance 0.05

Critical value z = 1.96

So we conclude that we do not have enough evidence to reject null hypothesis so we accept null and say mean weekly earnings have not changed

Related Questions

If A= (-1,-3) and B= (11,-8) what is the length of AB?

Answers

Answer:

AB is 13

Step-by-step explanation

Select the correct answer. Which function has exactly three distinct real zeros? A. h(x) = (x − 9)2(x − 4)2 B. h(x) = x(x + 7)2 C. h(x) = (x − 3)(x + 1)(x + 3)(x + 8) D. h(x) = (x − 2)2(x + 4)(x − 1)

Answers

Answer:

if you have LOF it is explained very well in there. When I was doing that kind of problem that was so helpful. Hope you find the same.

Step-by-step explanation:

Answer:

attached.

Step-by-step explanation:

Helpppp!!!! Plzzzzzzzzz

Answers

Answer:

false

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

the intersection of two planes is a line. Planes are like grids so if you have a 3d model, they'd create a line

Solve the following equation: 7a-5=2a-15

Answers

Answer:

7a-5=2a -15

7a-2a=-15+5

5a=-10

5a/5=-10/5

a=-2

Please answer this correctly without making mistakes

Answers

Answer:

60%

Step-by-step explanation:

The shape is divided to 10 pieces and 6 of the pieces are painted if we multiply

6 put of 10 is orange therefore 60% of the sahpe is orange

Answer:

60%

Step-by-step explanation:

the number shaded divided bt the number of all division multiplied by 100

6÷10×100

=60%

i need help on this question this is what i need help with

416+ 523⎯⎯⎯⎯⎯⎯⎯⎯⎯

Answers

Answer:

416+523=939

Step-by-step explanation:

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Answer:

9 3/9

Step-by-step explanation:

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Answers

Answer:

(-3,-1)

Step-by-step explanation:

You can graph both of the points on desmos, and then look at the slope from p1 to the midpoint. so you can get the slope, and use it to get the p2. the slope is -4/6. So you get that answer.

I have 7 cookies. If I eat 1/4 of them of the cookies. How many cookies do I have left?

Answers

Answer:

6 thirds

Step-by-step explanation:

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Answers

Answer:

3(x-2)+6=6x-9

[tex]3x - 6 +6 =6 x - 9 \\ 3x - 6x = - 9 \\ - 3x = - 9 \\ x = - 9 \div - 3 = 3[/tex]

Whats the function to this math prob

Answers

Answer:

some reason i cant see the image is this just me

Step-by-step explanation:

Y is the vertical distance. The top of the curve is at y = 4 and the bottom of the curve is at y = -5, so the function would be between y -5 and y 5 which is written as :

D. -5 <= y <= 5

The correct Standard Form of the equation y=−1/3x+23/9

Answers

Answer:

3x + 9y = 23

Step-by-step explanation:

is this correct I made an educated guess because I don't really understand it

Answers

Answer:

Option (2)

Step-by-step explanation:

A function 'f' has been given as,

f(x) = 3x + 1

And the inverse of this function is,

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

We have to find the value of f(2).

So we will use the expression: f(x) = 3x + 1

By substituting x = 2 in this function,

f(2) = 3×2 + 1

     = 6 + 1

     = 7

This result tells us the value of the function at x = 2.

Therefore, Option (2) will be the answer.

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What is the slope of the line? y=x−5
options:
undefined
1
0
-5

Answers

Answer:

1

Step-by-step explanation:

What’s the difference between m=change in y and change in x and m =y2-y1and x2-x1

Answers

it's the same thing

[tex]slope = \frac{Δy}{Δx} or \frac{change \: in \: y}{change \: in \: x} = \frac{y2 - y1}{x2 - x1} = \frac{rise}{run} [/tex]

a package of 4 pairs of isulated gloves costs $33.96. what is the unit price of gloves​

Answers

Answer:

8.49 per pair/pack of gloves

Step-by-step explanation:

i got this by taking 33.96 divided by 4 so i could find out how much for one pair

Evaluate 8 ÷ -2 · 4²+9. Thanks! Will give brainiest if possible

Answers

the answer is -55 , because you have to simply the 14^2 to 16
For more anwsers for questions like these use math away love even thought the ads might be irritating it’s a great source ✨

6m + 4n + 3m - 6

What are the terms? Separate them with a comma.

Answers

6m, +4n, +3m, -6

(I also added a picture)

A Mountain road rises 30 feet for a 490-foot run. What is it’s slope

Answers

490/30 = 82

you simply just divide the two numbers to get slope

Answer:

Correct answer is 3/49

Step-by-step explanation:

Plz answer I will mark u brainiest!!!!

Answers

Answer:

65

Step-by-step explanation:

The endpoints of EF¯¯¯¯¯ are located at E (−3, 2) and F (3, 8). Point D divides EF¯¯¯¯¯ such that ED : DF is equal to 1 : 3. For each box, select the values in the dropdown that make the statement true. The x-coordinate of point D is and the y-coordinate of point D is

Answers

Answer:

[tex]D(x,y) = (-1.5,3.5)[/tex]

Step-by-step explanation:

Given

[tex]E = (-3,2)[/tex]

[tex]F = (3,8)[/tex]

[tex]ED: DF = 1 : 3[/tex]

Required

Determine the coordinates of D

This is calculated as thus:

[tex]D(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]

Where:

[tex](x_1,y_1) = (-3,2)[/tex]

[tex](x_2,y_2) = (3,8)[/tex]

[tex]m:n = 1:3[/tex]

[tex]D(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]

[tex]D(x,y) = (\frac{1 * 3 + 3 *-3}{1+3},\frac{1 * 8 + 3 * 2}{1+3})[/tex]

[tex]D(x,y) = (\frac{-6}{4},\frac{14}{4})[/tex]

[tex]D(x,y) = (-1.5,3.5)[/tex]

Enter the equivalent distance in km in the box.

1 km = 1000 m

1 m = 100 cm

35,000 cm =
km

Answers

Answer:

0.350 km

Step-by-step explanation:

Hi there !

35000 cm = 35000/100 m = 350 m

350 m = 350/1000 km = 0.350 km

Good luck !

Victor runs 3 laps around the track every 5 minutes. How long would it take to run 6 laps?

Answers

I believe 10 Bc it says 3 laps every 5 min

Choose the best explanation that describes in words what the numerical value of the slope tells you.

a. Every increase in coral growth of one centimeter will result in an average of 5.25 fewer degrees Celsius of sea surface temperature per year.
b. Every increase in coral growth of one centimeter will result in an average of 5.25 more degrees Celsius of sea surface temperature per year.
c. Every increase in sea surface temperature of one degree Celsius will result in an average of 0.1578 more centimeters of coral growth per year.
d. Every increase in sea surface temperature of one degree Celsius will result in an average of 0.1578 fewer centimeters of coral growth per year.

Answers

Data for the question :

Sea surface temperature 26.7 26.6 26.6 26.5 26.3 26.1

Growth 0.85 0.85 0.79 0.86 0.89 0.92

Answer:

d. Every increase in sea surface temperature of one degree Celsius will result in an average of 0.1578 fewer centimeters of coral growth per year.

Step-by-step explanation:

Given the data :

Surface Temperature (X) : 26.7 26.6 26.6 26.5 26.3 26.1

Growth (Y) : 0.85 0.85 0.79 0.86 0.89 0.92

Using a regression calculator, we can find the model equation and extract the slope :

The regression equation obtained is :

y=5.039-0.1578x

From y = mx + c

Where m = gradient or slope

c = intercept

x and y are predictor and predicted variables respectively.

Hence, the gradient or slope (m) of the model = - 0.157. We have a negative slope, hence, increase in x will result una decrease in y.

The slope thus means: for every 1 degree increase in sea surface temperature (x), there is an average decline of about 0.1578 cm in growth per year.

Between which pair of numbers is the of exact product
379 and 8

Answers

Answer:

3032

Step-by-step explanation:

379 x 8 = 3032

use math, also box method

The angle of a triangle are in ratio 4:5:6.what is the angle of the triangle?​

Answers

Answer:

48, 60 and 72

Step-by-step explanation:

Given;

    The ratios of the angle in the triangle  = 4:5:6;

Unknown:

The angle of the triangle = ?

Solution:

  We must understand that the sum of angles in a triangle is 180°

 So as ratios;    4:5:6 denotes some certain multiples that sums up to  180°

 Let the multiple number  = x; so

      4x : 5x : 6x

      4x + 5x + 6x = 180

            15x = 180

                = 12

The angles in the triangles are:

        4(12) : 5(12) : 6(12)

        48 : 60 : 72

These angles are 48, 60 and 72

2x−5y−z=17
x+y+3z=19
−4x+6y+z=−20

Answers

You want us to answer all 3??

HELP ME PLEASE I NEED A 80%

Answers

Answer:

m [slope] = 5/2

Step-by-step explanation:

Find two points on the line where they are both integers(Whole numbers, positive or negative). (30,0) and (50,50).

There is a rise of 5 units for every run of 2 units.

(30,0) → (50,50) = (30 + 20, 0 + 50) : (x,y)

m = ∆y/∆x [Change in y over the change in x]

m = 50/20

m = 5/2

Find the slope of the line y=4x+2

Answers

Answer:

M=4

Step-by-step explanation:

I hope this helps!

HELP ME PLEASE ASAO DUE SOON

Answers

Answer:

150 ft/hr

Step-by-step explanation:

Average rate of change is slope over an interval, so change in y over change in x:

[tex]\frac{3500-3200}{3-1} =150[/tex] ft/hr

Express as a ratio in the lowest term 1.360meter to 3 kilometers 2.2 minutes to 14 seconds

Answers

Answer:

1360322

Step-by-step explanation:

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