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

What are the possible rational zeros of f(x) = x4 + 2x3 - 3x2 - 4x – 12? (1 point)

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6 because it’s one of the three most common

check whether the given value of x in the solution to the equation.​

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Answer: Yes

Step-by-step explanation: Here, we want to decide

if 2 is a solution for the equation 4n - 3 = -2n + 9.

We can do this by simply plugging in 2 for n.

If the statement holds true, then 2 is a solution.

Plugging in 2 for n, we have 4(2) - 3 = -2(2) + 9.

Remember that a negative times a positive is a negative.

So we have 8 - 3 = -4 + 9.

Simplifying further, we have 5 = 5.

Notice that 5 = 5 is a true statement.

So yes, 2 is a solution for the equation 4n - 3 = -2n + 9.

AsKevin Selma madelyn Louis

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very cool yes yes yes

Select the conversions that are equivalent to 25 yards.
Mark all that apply.
50 feet
75 feet
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1000 inches

Answers

Answer:

75 feet and 900 inches

Step-by-step explanation:

A yard is equal to 3 feet, while a foot is 12 inches.

Multiply 25 with 3 to get 75 feet.

Multiply 25 with 36 (12*3) to get 900 feet.

Hope this helped :)

is 2 tenths + 11 hundredths greater than 0.14?

Answers

2 tenths + 11 hundredths is greater than 0.14.

2 tenths +11 hundredths is 3 tenths and 1 hundredth, or 0.31

I need help with this question

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Answer:

The answer is going to be option 1.

Step-by-step explanation:

The answer you get from multiply an number by itself is a perfect square.

Answer:

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Step-by-step explanation:

64 is a perfect square because 8^2 =8×8 =64

Express 7.409 in word form.

Answers

seven and four hundred nine

fun quashen first to answer correctly is getting 20 points ( usely you get 5 i am giving 20 ) do it correct and fast .​

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Answer:

the answer is D

Step-by-step explanation:

Which is the smallest set of numbers

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hahahaha wht? lol sry im stupid tbh

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Convert the unit rate: 60 mi/h = Ft/s



Please help me!

Answers

1 mile = 5,280 feet.

60 miles x 5,280 = 316,800 total feet.

1 hour = 3,600 seconds.

316,800 feet / 3,600 seconds = 88 feet per second.

The answer is 88 ft/s

What is the value of x in the equation below?

Negative 3 minus (negative 8) minus (negative 2) = x

Answers

Answer:

13

Step-by-step explanation:

[tex]3 - ( - 8) = 11[/tex]

[tex]11 - ( - 2) = 13[/tex]

[tex]\bold{Answer:}[/tex] 7

[tex]\bold{Explanation:}[/tex] -3-(-8)-(-2)
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what is the sign number of the product -35 and -625 is what​

Answers

Answer:

I think it is Positive."

Step-by-step explanation:

I am so sorry if it is not correct.

Good luck!

2 ( 3x + 1 ) = x - 8

Answers

Answer:

x=-2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

6x + 2 = x-8

6x - x = -8 -2

5x=-10

x=-2

9+10....................................................................

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Answer:

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Step-by-step explanation:

help i give crown ples what is the vaule of the underlind 4
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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer: 1.9 per year this is the answer

SAT scores: A college admissions officer takes a simple random sample of 100 entering freshmen and computes their mean mathematics SAT score to be 433 . Assume the population standard deviation is 115 .
(a) Construct a 99 % confidence interval for the mean mathematics SAT score for the entering freshman class. Round the answer to the nearest whole number.

Answers

Answer:

The 99% confidence interval is  [tex] 403.33 <  \mu < 462.67 [/tex]  

Step-by-step explanation:

From the question we are told that

  The sample size is  n  =  100

   The sample mean is  [tex]\= x = 433[/tex]

    The standard deviation is [tex]\sigma = 115[/tex]

From the question we are told the confidence level is  99% , hence the level of significance is    

      [tex]\alpha = (100 - 99 ) \%[/tex]

=>   [tex]\alpha = 0.01[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  2.58[/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

=>   [tex]E = 2.58 *  \frac{115 }{\sqrt{100} }[/tex]

=>   [tex]E = 29.67 [/tex]

Generally 99% confidence interval is mathematically represented as  

      [tex]\= x -E <  \mu <  \=x  +E[/tex]

=>    [tex]433 -29.67 <  \mu < 433 + 29.67[/tex]    

=>    [tex] 403.33 <  \mu < 462.67 [/tex]  

What is 4/15 / -3.4

Answers

Answer:

Factor the numerator and denominator and cancel the common facotors which would give you 0.07843137

In a standard normal distribution, what percent of values are less than -0.23?​

Answers

Answer:

0.4

Step-by-step explanation:

Determine if the sequence below is arithmetic or geometric and determine the common difference/ratio in simplest form
12,6,3

Answers

Answer:

The sequence is geometric

The common ratio is 0.5

Step-by-step explanation:

In the arithmetic sequence, there is a common difference between each two consecutive terms

In the geometric sequence, there is a common ratio between each two consecutive terms

Let us check the given sequence

∵ The first 3 terms are 12, 6, 3

∵ 6 - 12 = -6

∵ 3 - 6 = -3

∵ There is no common difference between the consecutive terms

The sequence is not an arithmetic sequence

∵ 6 ÷ 12 = 0.5

∵ 3 ÷ 6 = 0.5

∴ There is a common ratio between each two consecutive terms

The sequence is a geometric sequence

The common ratio is 0.5

Given sequence is geometric sequence and common ratio between consecutive term is  [tex]\frac{1}{2}[/tex] .

In Arithmetic sequence , common difference between consecutive terms should be equal.

In Geometric sequence, common ratio between consecutive terms should be equal.

Given sequence,     12, 6, 3, ...

  Since, common difference =  [tex]6-12\neq 3-6[/tex] , this is not arithmetic sequence.

Common ratio =     [tex]\frac{6}{12}=\frac{3}{6}=\frac{1}{2}[/tex]  Because common ratio is are equal. Thus, given sequence is geometric sequence.

Learn more about sequence here :

https://brainly.com/question/17648677

find the quotient 5,9,374

Answers

Answer:

I don’t know exactly what ur asking but I hope this helps

Step-by-step explanation:

6.33

NOT Answer:

i would be glad to answer this but whats a quotient

sory

If TSP and PSW are supplementary, and TSP is two times as large as mPSW, what is mTSP?

Answers

Answer:

[tex]\huge\boxed{120 \textdegree}[/tex]

Step-by-step explanation:

In order to solve for m∠TSP, we can use basic angle relationships and equations.

Let’s assume m∠PSW is [tex]x[/tex]°

We know that if two angles are supplementary, their angle lengths will add to 180°.

We also know that m∠TSP is twice as large as PSW. Since PSW is represented as x°, TSP will be 2x°.

We can add these two angles together and get 180°. Then you can solve for x (PSW)

[tex]x+2x=180[/tex] [tex]3x=180[/tex] [tex]x=60[/tex]

So we know that x (PSW) is 60°. However, the question asks for the measure of TSP. We know that TSP is twice as large as PSW, so we can multiply PSW (60) by 2.

[tex]60 \cdot 2 = 120[/tex]

So m∠TSP is 120°.

Hope this helped!

2^4x4^4=2^4x2^n=2^12

Answers

Answer:

don''t knw

Step-by-step explanation:

Which shows associative property?
3(ab) = (3a)b
(3 + a) + b = 3 + (a + b)

Answers

Answer: the answer is the second one

Step-by-step explanation:

9514 1404 393

Answer:

3(ab) = (3a)b . . . associative property of multiplication(3 + a) + b = 3 + (a + b) . . . associative property of addition

Step-by-step explanation:

The "associative property" can apply to any number of operations. The ones we're usually concerned with are multiplication and addition.

Basically, the associative property says you can regroup elements that have the same operation being performed on them. Effectively, that regrouping lets you perform the sequence of operations in whatever order you may choose.

For multiplication, the associative property can be written:

  (ab)c = a(bc)

This form matches the first of the choices shown:

  3(ab) = (3a)b

__

For addition, the associative property can be written:

  (a+b)+c = a+(b+c)

This form matches the second of the choices shown:

  (3 + a) + b = 3 + (a + b)

__

If you must select one answer, you need to know which associative property you're talking about.

Harold balance in his savings account was $10,000. The savings account earns annual simple interest. At the end of 3 yeah, the balance of the account was $11,875. If Harold did not make additional deposits or withdrawals, what was the approximate annual interest rate on the savings account?​

Answers

Answer:

In the simplest of words, $1,000 at 1% interest per year would yield $1,010 at the end of the year. But that is simple interest, paid only on the principal. Money in savings accounts will earn compound interest, where the interest is calculated based on the principal and all accumulated interest.

Step-by-step explanation:

What is pi/π used for in math?

Answers

Its used to find the area and circumference of a circle

Answer:

It is the 16th letter of the Greek alphabet

Used to represent the mathematical constant.

Pi is the ratio of the circumference/diameter.

Hope this helps you!

Determine whether the statement is true or false. If it is​ false, rewrite it as a true statement. When each data class has the same​ frequency, the distribution is symmetric. Choose the correct answer below.

a. The statement is true.
b. The statement is false. When each data class has the same​ frequency, the distribution is bimodal.
c. The statement is false. When each data class has the same​ frequency, the distribution is skewed left.
d. The statement is false. When each data class has the same​ frequency, the distribution is skewed right.

Answers

Answer:

A; the statement is true

Step-by-step explanation:

In this question, we are to select which of the options is correct according to the initial statement.

The statement is true.

If the data classes have same frequency, then the distribution is said to be symmetrical in nature.

What is meant by being symmetrical in this case is that the data classes are skewed left as far as they are skewed right from a given center point.

How will you write 4x + 23y into a statement

Answers

Answer:

Tom wants to go to disneyland this weekend with 23 adults including himself and 4 children Ashley 3, Leslie 1, Brit 4, Victor 2. Children under the age of 6 pay "x" amount while anyone older pay "y" amount. What equation can tom use to find out how much the tickets in total will be.

Step-by-step explanation:

Y = Adults pay y amount - There are 23 adults

X =kids under 6 pay x amount - there are 4 children

4x+23y

4 (kids under 6 ticket cost)+ 23 (Adults ticket cost)

The mapping diagram shows a functional relationship.

A mapping diagram shows a relation, using arrows, between domain and range for the following ordered pairs: (8, 4), (negative two-thirds, 3), (11, negative 1), (4, one-half).

Complete the statements.

Answers

Answer:

do you have the diagram

Step-by-step explanation:

Answer:

yes ido

Step-by-step explanation:

two angles are complementary.the measure of the larger angle is two times the measure of the smaller angle .What is the measure of each angle ?

Answers

We know that :

The sum of two angles that are complementary = 90°

Smaller angle = x

Larger angle = 2x

We can make the formula as

= 2x + x = 90°

= 3x = 90°

= x = 90 ÷ 3

= x = 30

The smaller angle = x = 30°

The larger angle = 2x = 30 × 2 = 60°

Therefore , the measure of each of the angles are 30° and 60° .

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