A manufacturer must test that his bolts are 4.00cm long when they come off the assembly line. He must recalibrate his machines if the bolts are too long or too short. After sampling 81 randomly selected bolts off the assembly line, he calculates the sample mean to be 3.97cm. He knows that the population standard deviation is 0.14cm. Assuming a level of significance of 0.01, is there sufficient evidence to show that the manufacturer needs to recalibrate the machines

Answers

Answer 1

The p-value(0.0538) is greater than the given significance level of 0.01. So, there is no sufficient evidence to show that the manufacturer needs to recalibrate the machines.

What is the test statistics formula for finding the p-value approach of hypothesis testing?

The test statistics formula for finding the z-score is,

z = (X - μ)/(σ/√n)

Where,

X = sample mean

μ = population mean

σ = population standard deviation

n = sample size

With this z-score, the p-value is calculated. If p > α, then the null hypothesis is not rejected, and if p < α, then the null hypothesis is rejected.

Calculation:

It is given that,

The population mean μ = 4.00

The sample size n = 81

The sample mean X = 3.97

The standard deviation σ = 0.14

and the significance level α = 0.01

So, the hypothesis is:

The null hypothesis: H0: μ = 4

The alternative hypothesis: Ha: μ ≠ 4

Thus, the test statistic value is,

z = (X - μ)/(σ/√n)

  = (3.97 - 4)/(0.14/√81)

  = - 0.03/0.015

  = -1.928

So, for z = -1.928, the p-value is 0.053855

Since p > 0.01, there is no sufficient evidence to show that the manufacturer needs to recalibrate the machines.

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Related Questions

say something so mean to me idc just say whats on your mind broskis

Answers

Answer:

Can grape juice be made into grapes?

Your so UGLY you turned medusa into stone.

Step-by-step explanation:

I said what was on my mind

I’m bored and wish I could hang out with a friend or something. Also you are more disappointing than an unsalted pretzel.

Jazzy goes to bed 3 h after dinner.

Yesterday, she spent 1 1/2 h on her homework and 2/3 h on the telephone after dinner.

How much time does she have before bed time?


PLEASE SHOW YOUR WORK!!!

Answers

Answer:

It was easy

Step-by-step explanation:

11 x 2 = 22

3 x 2 = 6

22 x 6 = 132

The time Jazzy has before going to bed is  [tex]\frac{5}{6}[/tex] hour

The first step to take in determining the answer is to add the hours she spent on various activities she did after dinner

Sum of activities done after dinner = hours spent on homework + hours spent on the telephone

[tex]1\frac{1}{2}[/tex] + [tex]\frac{2}{3}[/tex]

[tex]1\frac{3 + 4}{6}[/tex]

= [tex]1\frac{7}{6}[/tex]

=[tex]2\frac{1}{6}[/tex]  hours

Th second step is to subtract the total hours Jazzy spent on activities from the hours Jazzy has before going to bed after dinner

Time left before she goes to bed = time she has to go to bed after dinner - total hours spent before going to bed

3 - [tex]2\frac{1}{6}[/tex]  hours = [tex]\frac{5}{6}[/tex] hour

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Consider the equation: 1 4 x + 3y − 23 = 42 The variables are: The coefficients are: The constants are:

Answers

Answer:

The variables are: x and y

The coefficients are: 1/4 and 3

The constants are: -23 and 42

Step-by-step explanation:

Given equation:

1/4x + 3y − 23 = 42

The variables are: x and y

The coefficients are: 1/4 and 3

The constants are: -23 and 42

Which of the following could be the side measures of a right triangle? *

1)6 ft, 5 ft, 4 ft

2)8 ft, 7 ft, 6 ft

3)10 ft, 8 ft, 6 ft

4)12 ft, 10 ft, 8 ft

Answers

Answer:

option 1

Step-by-step explanation:

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The set of side lengths that could represent a right triangle is

12 ft, 10 ft, and 8 ft.

Option D is the correct answer.

What is a triangle?

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

To determine which of the given sets of side lengths could represent a right triangle, we can apply the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the two shorter sides (legs) is equal to the square of the length of the longest side (hypotenuse).

Using this theorem, we can check each of the given sets of side lengths to see if they satisfy this condition:

6 ft, 5 ft, 4 ft

6² + 5² = 36 + 25 = 61

4² = 16

Since 61 is not equal to 16, this set of side lengths does not represent a right triangle.

8 ft, 7 ft, 6 ft

8^2 + 7^2 = 64 + 49 = 113

6^2 = 36

Since 113 is not equal to 36, this set of side lengths does not represent a right triangle.

10 ft, 8 ft, 6 ft

10^2 + 8^2 = 100 + 64 = 164

6^2 = 36

Since 164 is not equal to 36, this set of side lengths does not represent a right triangle.

12 ft, 10 ft, 8 ft

12^2 + 10^2 = 144 + 100 = 244

8^2 = 64

Since 244 is equal to 64 + 180, this set of side lengths does represent a right triangle.

Therefore,

The set of side lengths that could represent a right triangle is 12 ft, 10 ft, and 8 ft.

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There are three rows of VIP seats in each section. Each row
has 12 seats and there are 16 sections. How many VIP seats
are there in all?

Answers

Answer:

576 I think

Step-by-step explanation:

3 x 12 x 16

Which equation does the model below represent? pls help !

Answers

Answer:

the answer to this is d

Step-by-step explanation:

x-3=5

Solve the equation, and choose the type of solution you
found.
2x + 8 = 2(x + 4)

Answers

Answer:

All real numbers are solutions

Step-by-step explanation:

2x + 8 = 2(x + 4)

~Simplify right side

2x + 8 = 2x + 8

~Subtract 8 to both sides

2x = 2x

~Divide 2 to both sides

0 = 0

Best of Luck!

Answer: the answer is infinite

Step-by-step explanation: so first you need to distribute the 2 into the () and you would get 2x+8 and since it is the same on both sides it cancles eachother out therefore there is infinite answers

r/1000=7, algebra, got confused and this one is weird to do. (personally)

Answers

Answer:

r = 7000

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

r/1000-(7)=0

Step by step solution :

STEP1:

r

Simplify ————

1000

Equation at the end of step1

r

———— - 7 = 0

1000

STEP 2

Rewriting the whole as an Equivalent Fraction

2.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 1000 as the denominator :

7 7 • 1000

7 = — = ————————

1 1000

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

r - (7 • 1000) r - 7000

—————————————— = ————————

1000 1000

Equation at the end of step 2

r - 7000

———————— = 0

1000

STEP 3

When a fraction equals zero :

3.1 When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

r-7000

—————— • 1000 = 0 • 1000

1000

Now, on the left hand side, the 1000 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

r-7000 = 0

Solving a Single Variable Equation:

Solve : r-7000 = 0

Add 7000 to both sides of the equation :

r = 7000

One solution was found :

r = 7000

Step-by-step explanation:

Hope it is helpful.....

What are the possible measures of the triangle’s sides? Select all that apply.

Answers

Answer:

since a whole triangle is 180 you can do 60×3

Answer:

Step-by-step explanation:

Whole triangle = 180°

90 + 60 + 30

i need help with this pls 20 points for the right answer

Answers

Answer:

hiiii

Step-by-step explanation:

sorry I have not idea like what garde are u I'm

Find each angle measure.

Answers

Answer:

Step-by-step explanation:

1)140

2)70

answers:
1) 140
2) 70

what is the solution to d · -4=32​

Answers

Answer:

-8

Step-by-step explanation:

-4d=32

d=32/-4

d=-8

find the perimeter of the rectangle​

Answers

Answer:

b. 14 cm

Step-by-step explanation:

To find the other side of the right triangle, use the Pythagorean theorem, a^2+b^2=c^2. The side is 4 cm, so 3+3+4+4=14 cm.

Eqiuvalent expressions
5(x)(x)(x)(x)

Answers

Answer:

5x^4

Step-by-step explanation:

a right circular cylinder with a radius of 2.3cm and a height of 1.4cm has a total surface area of ​

Answers

Answer:

i think 6.44

Step-by-step explanation:

first the diameter is 4.6 then multiply the 4.6 with 1.4 and u obtaine 6.44 (note:iam not sure iam still in seven grade)

Convert: 7 qt.=________fl.oz

Answers

Answer:

224 fl.oz

Step-by-step explanation:

Justin won the track event with a time of
12.0683 seconds. Write this round this off
to the nearest hundredth.

Answers

Answer:

12.068

Step-by-step explanation: the nearest hundredth to 12.0683 is 12.068  because 3 is  below five

What is the main idea of this text
Atkins agreed to testify against Manson in exchange for avoiding the death penalty. Her grand jury testimony led to Manson being arraigned for the murders on Dec. 11, 1969. Atkins later recanted her testimony, and her deal was revoked by the prosecutors [source: Steffens and Staples]. Linda Kasabian, who hadn't entered any of the houses or committed any murders, was granted immunity and testified for the prosecution during the trial.​

Answers

Answer:

the answer is Atkins agreeing to testify against Manson in exchange for avoiding the death penalty

PLEASE PLEASE HELP ME!!!

Answers

I tried to show all work.

Answer:

majadoxkdkdkrjjdkaoxjxjdhuriqwlsnxbxjdiirkekrnrnrjhfuxueiejhrhd

Find the slope of line

Answers

Answer:

Negative

General Formulas and Concepts:

Algebra I

Reading a Cartesian plane

Step-by-step explanation:

We see that every time our x-value increases, our y-value decreases. Therefore, we know we would have a negative slope.

What is the value of w?

Answers

AnswThe letter (W) is the symbol used to represent whole numbers. Whole numbers are counting numbers from 0 to infinity. The whole numbers (W): 0, 1, 2, 3, 4 . . . Notice that every natural number is a whole number.er:

Step-by-step explanation:

w + 48° = (w + 7°) + (w-27°)

48° = w + 7° - 27°

48 = w -20°

68° = w

a(b - 4) + c(b - 4)
can someone help me please!!!​

Answers

Answer:

(b−4)(a+c)

Step-by-step explanation:

Answer:

ab-4a+cb-4c

Step-by-step explanation:

a(b-4)+c(b-4)

ab-4a+cb-4c

A box of dried fruit has 80 calories in 5 servings. How many calories are there per serving?

Answers

Answer:

16 calories per serving

Step-by-step explanation:

80/5=16 calories per serving

Answer:

16 calories per serving. Hope this helps

Step-by-step explanation:

Please help.
Is Algebra.

Answers

Answer:

5. 2, 6. 18

Step-by-step explanation:

8-?= 6, ? = 2

?-11 = 7, ? = 18

someone help me please quick?

Answers

if I'm not wrong the answer does seem to be 69

1,4,5 and 8 are congruent

Find the value of x (show your work)

Answers

8. x = 142
10. x = 116
cuz when the angles are across from each other like that they’re congruent so they have the same angle degree

The sale price of a meal at $17 what is the cost after 8% sales tax is applied

Answers

Answer:

$18.36

Step-by-step explanation:

sales price = $17tax rate = 8%tax = (8×17)÷100tax = $1.36taxable amount = sales price + taxtaxable amount = $17 + $1.36 = $18.36

MARK ME AS BRAINLIST

PLZ FOLLOW ME

Which statement is true about the slope of the graphed line?

Answers

Answer:

B, the slope is positive.

Step-by-step explanation:

You can tell that the slope is positive because it is going upwards from left to right.

B) Positive slope. A trick to doing this is if you can draw a P shape based on the slope, it is positive. An N shape is negative.

1. f(x) = x3 - 3x2 - 8x - 60

Answers

Answer:

x = -2

Step-by-step explanation:

hope that helps :)

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

2. Which of the following are solutions to - 2.7 + x = - 3.5?

Answers

Step-by-step explanation:

x = -4/5 = -0.8

Answer:

x = −0.8

Step-by-step explanation:

−2.7 + x = −3.5

1.) Simplify both sides of the equation

x − 2.7 = −3.5

2.) Add 2.7 to both sides

x − 2.7 + 2.7 = −3.5 + 2.7

AND BAYUM...

x = −0.8

~~~~~~~~~~~~~~~~~~~~~~~~~~~

Hope I helped!!!

GL :)

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