The mean hourly wage for employees in goods-producing industries was $24.57, April 12, 2012 (Bureau of Labor Statistics). Suppose a sample of 30 employees from the manufacturing industry is taken, in April 2012, to see if the mean hourly wage differs from the reported mean of $24.57 for the goods-producing industries.
a. State the null and alternative hypotheses we should use to test whether the population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries.
b. Suppose a sample of 30 employees from the manufacturing industry showed a sam- ple mean of $23.89 per hour. Assume a population standard deviation of $2.40 per hour and compute the p-value.
c. With a = .05 as the level of significance, what is your conclusion?
d. Repeat the preceding hypothesis test using the critical value approach.

Answers

Answer 1

Step-by-step explanation:

a. The null hypothesis is generally an exact value and the alternative hypothesis is the one we are trying to show. We are trying to show that the population mean is different from $24.57, so the hypotheses are as follows:

Null: The population mean hourly wage in the manufacturing industry is the same as the population mean hourly wage in the goods-producing industries

Alternative: The population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries

b.

Because we know the population standard deviation, we can use a z test

Plugging in the values:

Expected population mean: 24.57

Sample average: 23.89

Sample size: 30

Population standard deviation: 2.4, we get 0.1207 as our p-value.

c. Using a = 0.05, our p-value is greater than that, so we can not conclude the alternative hypothesis (The population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries)

d. Using a critical value calculator, we can find that for a two-tailed approach, the critical value would be 1.96. This would mean that the z score would have to be greater than 1.96 or less than -1.96 for the results to be significant. The population mean we would plug in here is 24.57, while the raw score would be 23.89 and the standard deviation would be 2.4. The z score we get is -0.283, which is not in the values specified (>1.96 or <-1.95) so we cannot conclude the alternative hypothesis


Related Questions

Britney is trying out for the track team along with 24 other people nine people were running distance seven people were there to sprint three people are in the competition to throw Shotput and six people were there to polevault Britney was able to run a half a mile in six minutes and she finish seventh Place in the 100 m dash which of these pieces of data is discreet and which one is continuous

Answers

Answer:

The 6-minute half-mile time is continuous data; the number of people trying out for the team is discrete data.

Step-by-step explanation:

Help someone I don’t know the answer and I need help!

Answers

the correct answer is (-4,4) i hope this helped :)

Answer: I believe the answer is (A)  (-4,4) because the only corner that's going up towards the (f) is stopped over the 4's.

Question 1

To adopt a dog from an animal shelter, you must pay $80 for vaccinations, $65 to spay or neuter the dog, and $50 for a wellness exam by a veterinarian.


a. Write an expression in the simplest form that represents the amount (in dollars) it costs to adopt x dogs.


b. What does the coefficient of the expression in part (a) represent?

Answers

Answer:

1a. 195x

1b. 195

Step-by-step explanation:

1a. To determine the expression, we know that we need to get x amount of dogs and we need to pay $80+$65+$50 for each dog so we would be $195x.

1b. The coefficient of an expression is where a constant is multiplied by a variable and the integer is the coefficient. The integer that is being multiplied by the variable is 195 so 195 is the coefficient

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Y= -1/4x+6 thereee youuu go !!

Prime number after 167, 118, 82, 57, 41,

Answers

The prime numbers after 167, 118, 82, 57, 41 are 37, 31, 29, 23, 19, 17, 13, 11, 7, 5, 3, 2.

Prime numbers are numbers that are divisible by 1 and itself.

This are number greater than one with only two factors which are 1 and itself.

In other words, this number, when they are divided by another number other

than 1 or itself , one will get a remainder that is not zero.

Example of prime numbers are 2, 5, 7, 11, 13 etc.

The prime numbers after  167, 118, 82, 57, 41 are as follows:

37, 31, 29, 23, 19, 17, 13, 11, 7, 5, 3, 2.

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A sixth grade class collects 176 items for recycling three out of every eight items are cans the rest are bottles how many bottles does the class collect

Answers

Answer:

110

Step-by-step explanation:

We know that 5/8 of 176 so the answer is 110.

110 bottles class collect.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

A sixth grade class collects 176 items.

Now,  three out of every eight items are cans

= (8- 3)

= 5

So, number of bottles class collect

= 176 x 5 / 8

= 22 x 5

= 110

Hence, 110 bottles class collect.

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Solve 4(x + 6) = 2(2x + 12)

Answers

Answer:

Infinitely many solutions

Step-by-step explanation:

[tex]4(x+6)=2(2x+12)[/tex]

[tex]4(x+6)=2(2(x+6))[/tex]

[tex]4(x+6)=4(x+6)[/tex]

Infinitely many solutions

Answer:

Hiya There....!!!

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Any value of  x  makes the equation true.  Always true

Interval Notation:

( − ∞ , ∞ )

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“Most things are forgotten over time. Even the war itself, the life-and-death struggle people went through is now like something from the distant past. We’re so caught up in our everyday lives that events of the past are no longer in orbit around our minds. There are just too many things we have to think about everyday, too many new things we have to learn. But still, no matter how much time passes, no matter what takes place in the interim, there are some things we can never assign to oblivion, memories we can never rub away. They remain with us forever, like a touchstone.”

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A fair coin is flipped 10 times. What is the probability that exactly 4 of the 10 flips come up heads

Answers

105/2^9

Step-by-step explanation:

The probability of getting a head in a single toss

p=12

The probability of not getting a head in a single toss

q=1−12=12

Now, using Binomial theorem of probability,

The probability of getting exactly r=4 heads in total n=10 tosses

=10C4(1/2)4(1/2)10−4

=10×9×8×7/4! 1/2^4 1/2^6

=2^44⋅9⋅35/24(2^10)

=105/2^9

Answer:

P = 0.205  (20.5%)

Step-by-step explanation:

[tex]f(x)=(10nCr4)(.5)^{4} (.5)^{6} =(210)(0.0625)(0.015625)=0.205[/tex]

Hope this helps

Given f(x), match each expression to its correct value

Answers

Answer:

-11, f(-5)    1

Step-by-step explanation:

Number 1 is 2

Number 2 is 1

Number 3 is -11

Number 4 is 7

What you do is see the value of x in each question and see if it satisfies the requirement.
If x is less than -2(like in number 1), you substitute it into that equation and solve for x


If x is greater than or equal to -2(like in number 2,3, and 4), you substitute the value of x into the second equation.

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ANSWER FOR 30 POINTS

Answers

Answer:

one solution.

Step-by-step explanation:

using elimination, u can get one solution

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Answers

Answer:7 + (-5)= 2

Step-by-step explanation:

7 + (-5)= 2 i hope its right'

In a video game, Adrien earns 5 bonus spins on each of the first three levels and 2 bonus spins on each of the next three levels. How many bonus spins does Adrien earn on all six levels?​

Answers

Answer:

I think the answer is 21.

Step-by-step explanation:

So, there are 5 spins for 3 levels + 2 spins for another 3 levels. This would be 5(3)+2(3)

15+6

21

Which example illustrates the associative property of addition for polynomials? [(2x2 + 5x) + (4x2 – 4x)] + 5x3 = (2x2 + 5x) + [(4x2 – 4x) + 5x3] [(2x2 + 5x) + (4x2 – 4x)] + 5x3 = [(4x2 – 4x) + (2x2 + 5x)] + 5x3 (2x2 + 5x) + [(4x2 – 4x) + 5x3] = (2x2 + 5x) + [5x3 + (4x2 – 4x)] [(2x2 + 5x) + (4x2 – 4x)] + 5x3 = [(5x + 2x2) + (–4x + 4x2)] + 5x3

Answers

Answer:

A

Step-by-step explanation:

Answer: first one

Step-by-step explanation:

omm it’s A

The Fresh and Green Company has a savings plan for employees. If an employee
makes an initial deposit of $1000, the company pays 8% interest compounded
quarterly. If an employee withdraws the money after five years, how much is in
the account?

Answers

Answer:

$1400

Step-by-step explanation:

The Fresh and Green Company has a savings plan for employees. If an employee makes an initial deposit of $1000, the company pays 8% interest compounded quarterly. If an employee withdraws the money after five years, how much is in the account?

First you need to make 8% into a decimal.

To do that you need to move the decimal point to spaces to the left.

8. ----- 0.8 ----- 0.08

The decimal is 0.08.

Now multiply $1000 by 0.08.

Which is $80.

Now do $80 times 5 years.

which is $400 interest.

Now add $400 to $1000.

Which is $1400.

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Answers

Answer:

-5

Step-by-step explanation:

Use the slope triangle I mentioned in a previous question

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Answers

Answer:

  x = 1/3

Step-by-step explanation:

Both bases can be written as powers of 6.

  36^x = (1/6)^(x-1) . . . . . . given

  (6^2)^x = (6^-1)^(x -1) . . . . . bases as powers of 6

  6^(2x) = 6^(-x+1) . . . . . . . . . simplify exponents

  2x = -x +1 . . . . . . . . . . . . . . . .equate exponents of the same base

  3x = 1 . . . . . . . add x

  x = 1/3 . . . . . divide by 3

You use substitution to solve a system of equations and, after simplifying, end with a statement that says 7 7. Describe what this statement means about the number of solutions and about the graph of the system.​

Answers

Answer:

Sample Response: Since the statement is true, there are an infinite number of solutions to the system. This statement also indicates that the lines are equivalent.

i just really dont get it

Answers

Answer: 22.02

Step-by-step explanation:

Just add them all together.

Find the length of the second base of a trapezoid with one base measuring 12 feet,a height of 4,and an area of 58 square feet.

Answers

Answer:

Step-by-step explanation:

A = ½(b₁ + b₂)h

b₂ = 2A/h - b₁

b₂ = 2(58)/4 - 12

b₂ = 17 ft

A 5 foot wide painting should be centered on a 11 foot wide wall. How many feet (x) should be on each side of the painting?

Answers

Answer:

3 feet on each side

Step-by-step explanation:

11 - 5 = 6

6/2 = 3

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Answers

Answer:

A 3x10^-6

Step-by-step explanation:

Calvin and Sanjay are each thinking of a number. If you multiply Sanjay’s number by 3 and subtract
2, you get Calvin’s number. If you take half of Calvin’s number and then subtract 2, you get Sanjay’s
number. What number is each thinking of?

Answers

Answer:

Calvin's number: 16 Sanjay's number: 6

Step-by-step explanation:

6 x 3 = 18, 18 - 2 = 16

16 / 2 = 8, 8 - 2 = 6

Pls help I’ll brainlest ASAP and add extra points I’m failing

Answers

Step-by-step explanation:

you drew already the right things, you have everything.

so, what is the problem ?

the most common form of line equation is

y = ax + b

a is the slope of the line. it is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.

b is the y-intercept (the y value when x = 0).

once we have the slope, we get b by using the coordinates of one of the given points as x and y in the equation and solve for b.

so, for the 2 marked points you showed correctly the differences :

x changes by +8 (from -4 to 4).

y changes by -2 (from 3 to 1).

so the slope is -2/+8 = -1/4

the y-intercept we also see directly in the chart : +2.

How do you solve multistep equations with variables on both sides
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Answers

5x - 8 = 3x + 12

- 3x -3x

You have to subtract them both.

2x - 8 = 12

Solve for the value of X

Answers

Check the picture below.

I believe that the answer is 10.
X=10

Which function has zeros at x = 10 and x = 2?

f(x) = x2 – 12x + 20
f(x) = x2 – 20x + 12
f(x) = 5x2 + 40x + 60
f(x) = 5x2 + 60x + 100

Answers

Answer:

f(x) = x2 – 12x + 20

Step-by-step explanation:

if it has those zeros, then it is (x-10)(x-2)

if you multiply that out, you get x^2 - 12x +20

Show that sec(x)-tan(x)sin(x)=cos(x)is an identity for any value of x.

Answers

Here is one way to show that the left side is identical to the right side.

[tex]\sec(x)-\tan(x)\sin(x) = \cos(x)\\\\\\\frac{1}{\cos(x)}-\frac{\sin(x)}{\cos(x)}\sin(x) = \cos(x)\\\\\\\frac{1}{\cos(x)}-\frac{\sin^2(x)}{\cos(x)} = \cos(x)\\\\\\\frac{1-\sin^2(x)}{\cos(x)} = \cos(x)\\\\\\\frac{\cos^2(x)}{\cos(x)} = \cos(x)\\\\\\\cos(x)=\cos(x)\\\\\\[/tex]

Throughout the entire process, the right hand side stayed the same. When working on identities, it's important to keep one side the same while you transform the other side.

Despite the two sides being identical when simplified, there is the issue of cos(x) being zero in the denominator on the left hand side. Be sure to account for this when forming the domain. No such issue occurs on the right hand side. For instance, the value x = pi/2 leads to a division by zero error when in radian mode. So if I was your teacher, I would revise the "for any value of x" and replace it with something along the lines of "for any x value in the domain".

Which group of numbers is listed from least to greatest?
0 -2,3,5,-8,9
0 -4, -6, -7,-8, -9
0 -2,-1, 0, 4,9
O 7,4, -6, -7, -9

Answers

Answer:

the third one

zero should always come after the negatives, and a whole number should always end the set.

*Write each expression*
4) the difference of five and a number w
5) double a number
6) the sum of seventeen and a number y
7) twelve less than the product of m and two
8) eleven less a number

Answers

Answer:

5-w

2n

17+y

2m-12

n-11

(n stands for number)

The absolute value of | – 71 – 19 – 18% is -16.
TRUE
FALSE

Answers

Answer: False i think

Step-by-step explanation:

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