At an assembly plant for light trucks, routine monitoring of the quality of welds yields the following data:
Number of Welds
High Moderate Low
Quality Quality Quality
Day Shift
Evening Shift
Night Shift 467 191 42
445 171 34
254 129 17
Can you conclude that the quality varies among shifts?
a. State the appropriate null hypothesis.
b. Compute the expected values under the null hypothesis.
c. Compute the value of the chi-square statistic.
d. Find the P-value. What do you conclude?

Answers

Answer 1

Answer:

Kindly check explanation

Step-by-step explanation:

H0 : quality does not vary among shift

H1 : quality varies among shift

The expected values :

(Row * column) / grand total

Given the data:

Observed values :

_________________total

_______467 191 42 __700

_______445 171 34 __650

_______254 129 17 _ 400

Total __ 1166 491 93 _ 1750

Expected value count using the formula :.

Expected Values:

466.4 ____196.4 ______37.2

433.086 _182.371___ 34.5429

266.514_ 112.229____ 21.2571

The Chisquare statistic (χ²) :

χ² = (observed - Expected)²/ observed

χ² = 5.76045

The degree of freedom = (row - 1) * (column - 1)

Degree of freedom = (3-1)*(3-1) = 2*2 = 4

Pvalue = 0.2178

Pvalue > α ; We foal to reject H0 ; Hence, we conclude that quality does not vary among shift


Related Questions

Find the volume of the cone

Answers

Volume= 37. 7

V=π r² h/3 = π · 22 · 9/3 ≈37.69911

I hope this helps!

Consider the terms pyramid, line, square, and triangle. The term
is not defined in Euclidean geometry.

Answers

The term line is not defined in Euclidean geometry. ... These words are point, plane and line and are referred to as the "three undefined terms of geometry".

Answer:

LINE is not defined by Euclidian geometry

Step-by-step explanation:

In Euclidean geometry, there are 3 terms that are considered "undefined" they are; point, line and plane.  I think it is because considered undefined because they are described, but not every formally defined.

As in a shape I mean I hope I am right,

how many oranges and mangoes are in the basket altogether if the ratio of mangoes and oranges in the basket is 2/5if there are 40 oranges in the basket ​

Answers

9514 1404 393

Answer:

  56

Step-by-step explanation:

We are given ...

  mangoes : oranges = 2 : 5

Then the ratio we want is ...

  (mangoes +oranges) : oranges = (2 +5) : 5 = 7 : 5

The total number of fruits in the basket is ...

  (7/5)(40) = 56 . . . mangoes + oranges in the basket

can someone help please with thi I only have a 1 minute left PELASE​

Answers

Answer: The Last Choice- D. 2/3 x 2/5

Step-by-step explanation:

I guessed the answer............ JK

1/3 x 1/5 = 1/15

1/3 x 2/5 = 2/15

2/3 x 1/5 = 2/15

2/3 x 2/5 = 4/15

So, the last choice is correct.

Sonia took a loan of $10 000 from ABC bank tob pay for a renovation at home. The bank offered her a period of 30 months at a rate of 10.5%. to repay the loan:

a) Calculate the Simple Interest she would pay in 30 months.

b) Calculate the Total amount Sonia would have to repay the bank.

Answers

Answer:

a. Simple interest, S.I = $2,625

b. Total amount = $12,625

Step-by-step explanation:

Given the following data;

Principal = $10,000

Interest rate = 10.5%

Time = 30 months to years = 2.5 years

a. To find the simple interest;

Mathematically, simple interest is calculated using this formula;

[tex] S.I = \frac {PRT}{100} [/tex]

Where;

S.I is simple interest. P is the principal. R is the interest rate. T is the time.

Substituting into the formula, we have;

[tex] S.I = \frac {10000*10.5*2.5}{100} [/tex]

[tex] S.I = \frac {262500}{100} [/tex]

Simple interest, S.I = $2,625

b. To calculate the total amount Sonia would have to repay the bank;

Total amount = simple interest + principal

Total amount = 2625 + 10000

Total amount = $12,625

please help with the steps thx:)

Answers

Answer:

The answer for the first is $350,325.378, I think

Step-by-step explanation:

I hope this helps, if im wrong im sorry

Answer:

interest: 945,  FV: 6345

FV= 323711.4, Interest: 226211.4

25.21 years

Step-by-step explanation:

question 1:

simple interest formula

PV(1+it)

30 months is equal to 30/12 years or 2.5 (so t= 2.5)

5400(1+.07*2.5)= 6345

This is the future value, to find the interst subtract the present value

6345-5400= 945

2.)

future value of continously compounding interst:

PV(e^(it))

97500*e^(.06*20)= 323711.4

finding the interest is the same as the last one

323711.4-97500=226211.4

3.)

same formula

let x= time in years

[tex]30000=7500e^{.055x}\\4=e^{.055x}\\\ln(4)=.055x\\x=25.20535202[/tex]

i guess we can round this to 25.21

Name the
alternate
interior angle
with angle 5.
HELPP PLEASEEE

Answers

Answer:

angle 4 isthe correct answer

please solve in the next 10 minutes pleaseeee

Answers

Answer:

43.82 mph

266.67 feet

Step-by-step explanation:

Given :

S = √30fl

S = speed of car

f = drag Coefficient

l = Length of skid mark

If f = 0.8 ; l = 80 feets

s = √30fl

s = √(30*0.8*80)

s = √1920

s = 43.817

s = 43.82 mph

B.)

s = 80 mph

f = 0.8

s = √30fl

80 = √30*0.8*l

80 = √24l

Square both sides

80² = 24l

6400 = 24l

l = 6400/24

l = 266.67 feets

(d) An insurance company will only sell its Select policy to people for whom the probability of a stroke in the next 10 years is less than 0.01. If a smoker with a systolic blood pressure of 200 applies for a Select policy, under what condition will the company sell him the policy if it adheres to this standard

Answers

Answer: Hello your question has some missing data that I was able to find and attach below

A recent 10-year study conducted by a research team at the Great Falls Medical School was conducted to assess how age, systolic blood pressure, and smoking relate to the risk of strokes. Assume that the following data are from a portion of this study. Risk is interpreted as the probability (times 100) that the patient will have a stroke over the next 10-year period. For the smoking variable, define a dummy variable with 1 indicating a smoker and 0 indicating a nonsmoker.

answer :

The condition : Client age ≤ 31.26 years

Step-by-step explanation:

First step : perform a regression analysis via excel ( result attached below )

P-value = 2.06E-07

Next determine the condition on which the company will sell its policy

Y = - 91.7595 +  1.0767x1 + 0.2518x2 + 8.7399x3

1  < -91.7595 + 1.0767x1 + 0.2518*200 + 8.7399*1

make X1 subject of equation above

X1 < 31.26

Find the Surface Area and the Volume.

Answers

Answer:

volume = 1,000

surface area = 930

Step-by-step explanation:

the volume = (½×(14+6) ×4) × 25

= 1,000 cm³

the surface area =

(2×½×(14+6) ×4) + ((14+7+7+6) ×25)

= 80+850

= 930 cm²

What percentage of total hours was spent playing football

Answers

Answer:  20

Explanation:

10 hours was spent playing football, out of 50 total

10/50 = 1/5 = 0.20 = 20%

What is the common denominator of

Please ignore my choice I had to click one of them

Answers

Answer:

Your choice is correct. GOOD JOB!!

Step-by-step explanation:

can someone help me plzzz fastt

Answers

Answer:

3) 7square+11square=xsquare

49+121=x square

170=x square

x=13.038

5)9square+40square=x square

81+1600=x square

1681=x square

x=41

6)4square+6square=x square

16+36=x square

x square=52

x=7.211

i do not answer the fourth question.sorry if i can i will try

X = 13.038 that's the correct answer to your question

HELP ME PLEASE!!!
GIVEN sin0= √23/12
tan0= √23/11
Find cos0

Answers

Answer:

[tex]cos \theta = \frac{11}{12}[/tex]

Step-by-step explanation:

[tex]sin \theta = \frac{\sqrt{23}}{12} \ , \ tan \theta = \frac{\sqrt{23}}{11}\\\\tan \theta = \frac{sin \theta }{cos \theta }\\\\ \frac{\sqrt{23}}{11} = \frac{\frac{\sqrt{23}}{12} }{cos \theta}\\\\cos \theta = \frac{\frac{\sqrt{23}}{12} }{\frac{\sqrt{23}}{11} }\\\\cos \theta = \frac{\sqrt{23}}{12 } \times \frac{11}{\sqrt{23}}\\\\cos \theta = \frac{11}{12}[/tex]

A bill originally amounting Rs 1550, now amounts to Rs 1736 after adding VAT. Find the VAT rate.kaabil original amounting ​

Answers

Answer: 12%

Step-by-step explanation:

Original amount = Rs 1550

VAT = Rs 1736 - Rs 1550 = Rs 186

VAT rate = VAT/Original amount × 100

= 186/1550 × 100

= 18600/1550

= 12%

Therefore, the VAT rate is 12%.

Check:

= Rs 1550 + (12% × Rs 1550)

= Rs 1550 + $186

= Rs 1736

Mr watson rives 82 miles round trip each day how many miles does mr waton travel in 23 dys?

Answers

Answer:

1886 miles

Step-by-step explanation:

82 x 23 is 1886, 82 miles each day times 23 days.

A positive real number is 5 more than another. When - 10 times the smaller is added to the square of the larger, the result is 57. Find the numbers.

Answers

Answer:

4√2 and 5+4√2

Step-by-step explanation:

Let the two numbers be x ad y

Smaller = y

Bigger = x

If a positive real number is 5 more than another, then;

x = 5 + y ... 1

When - 10 times the smaller is added to the square of the larger, the result is 57, then;

-10y + x² = 57 ...2

Substitute 1 into 2;

-10y + (5+y)² = 57

-10y + 25+10y+y² = 57  

y²+25 = 57

y² = 57 - 25

y² = 32

y = √32

y = 4√2

Since x = 5 + y

x = 5 + 4√2

Hence rhe numbers are 4√2 and 5+4√2

If paper was £1.99 a pack and is now £3.98 a pack, what is the percentage increase in the price of the product?

Answers

Answer:

100%

Step-by-step explanation:

The initial price of the paper = 1.99

The final price of the pack of paper = 3.98

We need to find the percentage increase in the price of the product. It can be solved as follows :

[tex]\%=\dfrac{3.98-1.99}{1.99}\times 100\\\\=100\%[/tex]

So, the percentage increase in the price of the product is 100%.

Which of the following represents a function?

Answers

C I think (sorry if I’m wrong)

help pls i'll mark brainliest.. state the length of the line segment shown.

Answers

Answer:

i believe its 3 but i could be wrong

Step-by-step explanation:

sorry if i am..

3 because you can literally count, they even have grids and everything

A sequence is defined by the recursive function f(n + 1) = f(n). It f(3) = 9, what is f{1) ?

Answers

Answer:

because f(n) = f(n + 1)

=> f(3) = f(2) = f(1) = 9

Solve for x.Round to the nearest tenth of a degree, if necessary. MKL,14,7.4

Answers

Answer:

m(∠LMK) = 27.9°

Step-by-step explanation:

We have to calculate the measure of angle LMK.

Measure of opposite side (KL) = 7.4

Measure of adjacent side (ML) = 14

By applying tangent rule in the given triangle,

tan(∠LMK) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

                 = [tex]\frac{KL}{ML}[/tex]

                 = [tex]\frac{7.4}{14}[/tex]

                 = 0.52857

m(∠LMK) = [tex]\text{tan}^{-1}(0.52857)[/tex]

               = 27.9°

Twice a number added to another number is –8. The difference of the two numbers is 2. Find
the numbers​

Answers

Answer:

-2 and -4

Step-by-step explanation:

→ Make variable's for each number

x is the first variable and y is the second

→ Form equations

2x + y = -8

x - y = 2

→ Solve

3x = -6

→ Divide both sides by 3

x = -2

→ Resubstitute that into one of the equations

-2 - y = 2

→ Add 2 on both sides

-y = 4 therefore y = -4

1. Round 0.007492 to the nearest hundredth.

Answers

Answer:

The answer is 0.01

Step-by-step explanation:

so in order to round it you have to know after the decimal it goes: tenths, hundreds, thousands (0 tenths, 0 hundreds, 0 thousands)

So 0.007492, take the first 3 numbers after the decimal, 0.007, since it will be in the hundreds place, lets see if we can round the 0 up. If the number behind 0 is greater then or equal to 5 round up, if the number is less then 5 then it stays the same. Since 7>5 it rounds up, so the 0 becomes 1. So your new number will be 0.01

Hoped this helped :D

By rounding 0.007492 to the nearest hundredth, we get 0.01.

What is the method of rounding a number?

The number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.

Example: 0.3879 rounded to the nearest hundredth is 0.39.

If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.

Example: 0.3823 rounded to the nearest hundredth is 0.38.

Given number is 0.007492.

Rounding to nearest hundredth, we get:

0.00749 ⇒ 0.01.

Learn more about rounding a number to nearest hundredth here: https://brainly.com/question/13313945

#SPJ2

A man is changing the oil in his car. The instruction manual indicates that the car hold pints of oil. The man only has a cup measure. How many cups equal three pints?

Answers

The volume contained in a cup of oil is a fraction of the volume

contained in a pint of oil.

Correct response:

6 cups

Method used for the above unit conversion

The measure of the volume of oil the car holds = Pints of oil

The measurement the man has for use = Cups of oil

Required:

The number of cups equal to three pints.

Solution;

1 pint of oil = 2 cups of oil

Therefore;

3 pints of oil = 3 × 2 cups of oil = 6 cups of oil

The number of cups of oil equal to 3 pints of oil is 6 cups of oil

Learn more about units conversion here:

https://brainly.com/question/4845674

Which rational functions have an oblique asymptote? Check all that apply.
x2 + 1
(x) =
X
o
f(x) =
4x2 - 6
x + 1
O
f(x) =
*5
f(x) =
x3 + 1
x3 +2
f(x) =
x² + 3x

Answers

Answer:

A, B, E

Step-by-step explanation:

In the list of rational functions, 1st, 2nd, 4th, and 5th are the rational functions those have an oblique asymptote.

What is a function?

"A function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function."

The given rational functions are:

1. [tex]f(x) = \frac{x^{2}+1}{x}[/tex]

As the degree of numerator(2) is greater than the degree of denominator(1), This function has an oblique asymptote.

2. [tex]f(x) = \frac{4x^{2}-6}{x+1}[/tex]

As the degree of numerator(2) is greater than the degree of denominator(1), This function has an oblique asymptote.

3. [tex]f(x) = \frac{-x}{x^{2} }[/tex]

As the degree of numerator(1) is less than the degree of denominator(2), This function does not have an oblique asymptote.

4. [tex]f(x) = \frac{x^{5}}{x^{3}+1}[/tex]

As the degree of numerator(5) is greater than the degree of denominator(3), This function has an oblique asymptote.

5. [tex]f(x)= \frac{x^{3}+2}{x^{2}+3x}[/tex]

As the degree of numerator(3) is greater than the highest degree of denominator(2), This function has an oblique asymptote.

Learn more about a function here: https://brainly.com/question/15642520

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You recently invested $400,000 of your savings in a security issued by a large company. The security agreement pays you 12% per year and has a maturity of five year from the day you purchased it. What is the total cash flow you expect to receive from this investment, if compounded quarterly, separated into the return on your investment?

Answers

Answer:

$722444.49386776

Step-by-step explanation:

Use Compound Intrest Formula

[tex]a = p(1 + \frac{r}{n} ) {}^{nt} [/tex]

where p is the original amount.R is the amount of percentage compoundedN is amount of times compounded per year.T is how long the interest last.

P is 400,00p

T is 12% or 0.12

N is 4 since it is compounded quarterly

T is 5.

Plug the values in

[tex]400000(1 + \frac{0.12}{4} ) {}^{20} [/tex]

Ypu get

$722444.49386776

What are the zeros of P(m) = (m2 – 4)(m2 + 1)?

Answers

Answer:

m=4, -1

Step-by-step explanation:

if i am interpreting this correctly, you are wanting to find at what value of m would the solution be zero.

so, there are two expressions that can cause an answer of 0.

1) if 0=m2-4

so solve for m2, and you get 4=m2

2) if 0=m2+1

solve for m2, and you get -1=m2

you can check your work by plugging the values back into the equation.

P(m)=(4-4)(4+1)

=(0)(5)

=0

and

P(m)=(-1-4)(-1+1)

=(5)(0)

=0


In order for the data in the table to represent a linear
function with a rate of change of +5, what must be the
value of a?

Answers

Answer:

Step-by-step explanation:

Answer: C) a=18

Step-by-step explanation: Hope i helped :)

The Hernandez family is evenly splitting 777 liters of gasoline between their 444 cars.
How many liters of gasoline should each car get?

Answers

Answer:

1.75 liters per car

Step-by-step explanation:

777liters /444 cars=1.75 liters per car

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