It has been claimed from previous studies that the average diameter of ball bearings from this manufacturing process is 2.30 cm. Based on the sample of 50 that you collected, is there evidence to suggest that the average diameter is greater than 2.30 cm? Perform a hypothesis test for the population mean at alpha = 0.01.
a. Define the null and alternative hypotheses in mathematical terms as well as in words.
b. Identify the level of significance.
c. Include the test statistic and the P-value.
d. Provide your conclusion and interpretation of the results. Should the null hypothesis be rejected? Why or why not?
Diameters data frame of the first sample (showing only the first five observations)
diameters
0 3.46
1 2.64
2 1.89
3 2.56
4 2.09
Diameters data frame of the second sample (showing only the first five observations)
diameters
0 3.10
1 2.04
2 2.18
3 2.60
4 2.76
test-statistic = 2.06
two tailed p-value = 0.0394

Answers

Answer 1

Data for all 50 samples cannot be obtained, however, the solution below uses the 10 samples below to show how the hypothesis can be tested.

Answer:

Step-by-step explanation:

Average diameter, μ = 2.30

H0 : Average diameter is equal to 2.30cm

H1 : Average diameter is greater than 2.30 cm

The hypothesis :

H0 : μ = 2.30

H1 : μ > 2.30

Using the readings from the data above :

3.46, 2.64, 1.89, 2.56, 2.09, 3.10, 2.04, 2.18, 2.60, 2.76

Sample size, n = 10

Mean, xbar = ΣX/ n = 25.32 / 10 = 2.532

Sample standard deviation, s = 0.4973 (from calculator)

The test statistic :

(xbar - μ) ÷ (s/√(n))

T = (2.532 - 2.30) ÷ (0.4973/√(10))

T = 1.475

The Pvalue :

Degree of freedom, df = n - 1 ; 10 - 1 = 9

Pvalue(1.475, 9) = 0.087

Decision region :

Reject H0 ; If Pvalue < α;

Since 0.087 > 0.01 ; we fail to reject the Null and conclude that there is no evidence to suggest that the average diameter is greater than 2.30 cm


Related Questions

whats the common difference of p+q, p , p-q

Answers

Answer:

- q

Step-by-step explanation:

p - ( p + q )

= p - p - q

= - q

p - q - p

= p - p - q

= - q

Common difference is - q.

Cho xOz ‘ và yOz ‘ là 2 góc kề bù. Gọi Ot là phân giác của yOz ‘. Biết xOz ‘ = 50◦ , tính xOt

Answers

Answer:

ask in English then I can help u

Which of the following is true about congruent figures?

Answers

They're the same shape and the same size. They're the same size, but not the same shape.

What is the reason for each step in the solution of the equation?
-5(x - 6) = 10x
Drag and drop the reasons into the boxes to correctly complete the table.
–5(x – 6) = 10x
Given
-5x + 30 = 10x
30 = 15x
2 = x
Division Property of Equality
Commutative Property
Addition Property of Equality
Given
Distributive Property

Answers

Answer:

Distributive property (-5 is being multiplied to x and - 6)

Addition property of equality (5x is being added in both side of the equation)

Division property of equality (15 is being devided in both side of the equation)

Brainliest please~

The reason for each step will be

Distributive property (-5 is being multiplied to x and - 6)

Addition property of equality (5x is being added in both sides of the equation)

Division property of equality (15 is being divided into both sides of the equation)

What are algebraic properties?

We can solve mathematical equations thanks to algebra's inherent characteristics. The algebraic properties are distributive property, addition property of equality, and division property of equality.

Given expressions are:-

-5x + 30 = 10x

30 = 15x

2 = x

-5x + 30 = 10x ⇒ Distributive property (-5 is being multiplied to x and - 6)

30 = 15x ⇒ Addition property of equality (5x is being added in both sides of the equation)

30 = 15x ⇒ Division property of equality (15 is being divided into both sides of the equation)

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2. What polygon is formed if you divide this figure into three equal parts? A squares B. triangles C. rhombuses D. kites​

Answers

Answer: C

Step-by-step explanation:

#14 Find the angle measure m

Answers

Step-by-step explanation:

here's the answer to your question

Point J is the midpoint of the line segment KI Find the length of JI.

Answers

Answer:

I belive i is 5

Step-by-step explanation:

Given that f(x)=x^2 and g(x)=5x+2 ​, find (f-g)(2)​, if it exists.

Answers

Answer:

(f - g)(2) = -8

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Terms/CoefficientsFunctionsFunction Notation

Step-by-step explanation:

Step 1: Define

Identify

f(x) = x²

g(x) = 5x + 2

Step 2: Find

Substitute in functions:                                                                                     (f - g)(x) = x² - (5x + 2)[Distributive Property] Distribute negative:                                                    (f - g)(x) = x² - 5x - 2Substitute in x [Function (f - g)(x)]:                                                                   (f - g)(2) = 2² - 5(2) - 2Evaluate:                                                                                                          (f - g)(2) = -8

yannie read 24 pages of a book. one fourth of the book is unread.how many pages are there?

Answers

Answer:

32

Step-by-step explanation:

24/3=8, 24+8=32

that's how I think of it

A store offers different brands of a product. It decides to eliminate the brand
that is most likely to be returned. The table shows the number of items of
each brand that were returned over the past year and the total sold.
Retums
Total sold
Brand A
40
913
Brand B
38
792
Brand C
21
626
Brand D
15
451
Which brand should the store eliminate?

Answers

Answer:

In my points of view brand D should elimininate.In table have show the brand of D.If I am wrong I am sorry for talking 5pbt

The brand B must be eliminated since it has highest percentage 4.79%.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Here,

Brand A percentage = 40/913 ×100

= 4.38%

Brand B percentage = 38/792 ×100

= 4.79%

Brand C percentage = 21/626 ×100

= 3.35%

Brand D percentage = 15/451 ×100

= 3.32%

Therefore, brand B must be eliminated since it has highest percentage 4.79%.

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Write an expression representing the unknown quantity.

There are 5,682,953 fewer men than women on a particular social media site. If x represents the number of women using that site, write an expression for the number of men using that site.

The expression for the number of men is
.

Answers

9514 1404 393

Answer:

  x - 5,682,953

Step-by-step explanation:

If x is the number of women, and the number of men is 5,682,953 less, then the number of men is x -5,682,953

Enter the letter of the graphed
function.
Plz help! And plz explain thx!!!

Answers

Answer:

Option a

Step-by-step explanation:

One way to solve part of this is to look at the values of y between each x intercept.

Our x intercepts (or when y=0) occur when x=-2, x=1, and x=3. We know this by looking at the graph.

First, we have the space when x is between -∞ and -2. This is negative on the graph, and as a result, there should be an odd number of negatives as an odd number of negative numbers multiplied by each other is negative.

For a, (x+2) is negative when x is between -∞ and -2, (x-1) is negative, and (x-3) is negative as well. So far, this works

For b, we have to count (x-3) twice because it is squared. (x+2) is negative, (x-1) is negative, and (x-3) is negative twice. This is 4 negatives, so it doesn't work. This implies that between x=-∞ and x=-2, y is positive, which isn't the case

For c, (x+2) is negative, (x-3) is negative, and (x-1) is positive twice, making it 4 negatives and letting us rule it out

For d, (x-1) is negative, (x-3) is negative, and (x+2) is negative twice, making it 4 negatives and letting use rule it out

For e, (x-1) is negative, (x-3) is negative, and (x+2) is negative 3 times, making it 5 negatives and letting us keep it

After our first set of checks, we can see that only a and e are possibilities. Because the only thing separating the two possibilities is (x+2)², which is always positive past x=-2, and multiplying a number by a positive keeps its sign (e.g -5 * 5 = -25, which is still negative), all other rounds of checks would result in the same answer.

Another way to figure it out is to take an example point. We can see on the graph that when x=0, y=6. We can test that in each of our two remaining possibilities.

For a, we have (0+2)(0-1)(0-3) = (2)(-1)(-3) = 6

For e, we have (0-1)(0-3)(0+2)³ =  (-1)(-3)(2)³ = (3)(8) = 24

Therefore, option a is the only one that fits, and is your answer

(x+2) is negative when x is between the interval [-∞ -2] (x-1) is negative, and (x-3) is negative as well. Option A is the only one that fits in the graph.

What is a function?

A function is defined as a relation between the set of inputs having exactly one output each.

Our x-intercepts (or when y=0) occur when x=-2, x=1, and x=3. We know this by looking at the graph.

A. (x+2) is negative when x is between the interval [-∞ -2] (x-1) is negative, and (x-3) is negative as well.

B. (x+2) is negative, (x-1) is negative, and (x-3) is negative twice. This is 4 negatives, so it doesn't work. This implies that between x=-∞ and x=-2, y is positive, which isn't the case

C. (x+2) is negative, (x-3) is negative, and (x-1) is positive twice, making it 4 negatives and letting us rule it out

D. (x-1) is negative, (x-3) is negative, and (x+2) is negative twice, making it 4 negatives and letting us rule it out

E. (x-1) is negative, (x-3) is negative, and (x+2) is negative 3 times, making it 5 negatives and letting us keep it

We can see on the graph that when x=0, y=6. We can test that in each of our two remaining possibilities.

For a, we have (0+2)(0-1)(0-3)

       = (2)(-1)(-3) = 6

For e, we have (0-1)(0-3)(0+2)³

=  (-1)(-3)(2)³

= (3)(8) = 24

Therefore, option a is the only one that fits in the graph.

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Factor out the GCF of the three terms, then complete the factorization of 6x3 + 6x2 – 1202.

Answers

Answer : 2( 3x^3 +3x^2 - 601 )

Module 8: Directions: Respond to this question to demonstrate your understanding of the topic/content. Be sure to provide adequate and relevant details learned in the module to support your response. Pay close attention to organizing your response so it makes sense and uses correct grammar. Your response should be at least 5-7 sentences at a minimum.



Question: Describe how to eliminate the parameter to change from parametric to rectangular form. How does this ability help us with graphing parametric equations?

Answers

Answer:

rectangular equation, or an equation in rectangular form is an equation composed of variables like xx and yy which can be graphed on a regular Cartesian plane. For example y=4x+3y=4x+3 is a rectangular equation.

A curve in the plane is said to be parameterized if the set of coordinates on the curve, (x,y)(x,y) , are represented as functions of a variable tt .

x=f(t)y=g(t)x=f(t)y=g(t)

These equations may or may not be graphed on Cartesian plane.

Step-by-step explanation:

I hope this helps

Find the sum of the series if possible, if not possible explain why:

1+(−2/5)+(−2/5)^2+(−2/5)^3+⋯

Answers

Answer:

Step-by-step explanation:

5/7

Sum of a geometric series is a/(1-r) = 1/(1-(-2/5)) = 5/7

Please help, I will give brainliest if you answer.
An angle measures 78.6° more than the measure of its supplementary angle. What is the measure of each angle?

Answers

Answer:

so required angles are 50.7°and 129.3°

Step-by-step explanation:

Let the angle be x

another angle = x + 78.6°

so,

x + x + 78.6° = 180° {being sum of supplementary angle}

so, 2x + 78.6° = 180°

or, 2x = 180° - 78.6°

or, x = 101.4/2

so, x = 50.7°

so another angle = x + 78.6°

= 50.7° + 78.6°

= 129.3°

please help I WILL GIVE BRAINLIEST TO WHOEVER SOLVES

ALSO 13 POINTS

plz help

Answers

14
All the angles in a triangle add up to 180 degrees.
180 - 32 -64 = 84
84/6=14

the angles of a quadrilateral are x°,3x°,5x°and 6x° find x and hence calculate the angles of the quadrilateral.​

Answers

Answer:

Step-by-step explanation:

The sum of the angles of a quadrilateral is 360°

x + 3x + 5x + 6x = 360

15x = 360

x = 24

Angles:

x = 24°

3x = 72°

5x = 120°

6x = 144°

An object is dropped from 24 feet below the tip of the pinnacle atop a 1468-ft tall building. The height h of the object after t seconds is given by the equatior h= - 16t2 + 1444. Find how many seconds pass before the object reaches the ground. seconds pass before the object reaches the ground. (Type an integer or a decimal.)​

Answers

Answer:

9.5 seconds pass before the object reaches the ground.

Step-by-step explanation:

Height of the ball:

The height of the ball after t seconds is given by the following equation:

[tex]h(t) = -16t^2 + 1444[/tex]

Find how many seconds pass before the object reaches the ground.

This is t for which h(t) = 0. So

[tex]h(t) = -16t^2 + 1444[/tex]

[tex]-16t^2 + 1444 = 0[/tex]

[tex]16t^2 = 1444[/tex]

[tex]t^2 = \frac{1444}{16}[/tex]

[tex]t^2 = 90.25[/tex]

[tex]t = \pm \sqrt{90.25}[/tex]

Since it is time, we only take the positive value.

[tex]t = 9.5[/tex]

9.5 seconds pass before the object reaches the ground.

Find dy/dx given that y = 1 - cos x / sin x​

Answers

Answer:

tan x

Step-by-step explanation:

The given function y is a quotient, so we must apply the quotient rule first.  Recall that (d/dx)cos x = -sin x and that (d/dx)sin x = cos x.

Then the derivative of the given quotient is:

              (sin x)[0 - (-sin x)]               [sin x]^2

dy/dx = ---------------------------       =  ----------------- = 1

                     [sin x]^2                       [sin x]^2

The above answer is spot on . Correct answer 6728191

The scores for a particular examination are normally distributed with a mean of 68.5% and a standard deviation of 8.2%. What is the probability that a student who wrote the examination had a mark between 80% and 100%? Give your answer to the nearest hundredth.

Answers

Answer:

[tex]P(80/100<x<100/100)=0.08[/tex]

Step-by-step explanation:

We are given that

Mean,[tex]\mu=68.5[/tex]%=68.5/100

Standard deviation, [tex]\sigma=8.2[/tex]%=8.2/100

We have to find the probability that a student who wrote the examination had a mark between 80% and 100%.

[tex]P(80/100<x<100/100)=P(\frac{80/100-68.5/100}{8.2/100}<\frac{x-\mu}{\sigma}<\frac{100/100-68.5/100}{8.2/100})[/tex]

[tex]P(80/100<x<100/100)=P(1.40<Z<3.84)[/tex]

We know that

[tex]P(a<Z<b)=P(Z<b)-P(Z<a)[/tex]

Using the formula

[tex]P(80/100<x<100/100)=P(Z<3.84)-P(Z<1.40)[/tex]

[tex]P(80/100<x<100/100)=0.99994-0.91924[/tex]

[tex]P(80/100<x<100/100)=0.0807\approx 0.08[/tex]

3x-2=2(x-5)

find the value of x ​

Answers

Now we have to,

find the required value of x.

Let's begin,

→ 3x-2 = 2(x-5)

→ 3x-2 = 2x-10

→ 3x-2x = -10+2

→ x = -8

Hence, value of x is -8.

Answer:

x = -8

Step-by-step explanation:

3x - 2 = 2 ( x + 5

Solve for x.

Let's solve,

3x - 2 = 2 ( x + 5 )

Step 1:- Distribute 2.

3x - 2 = 2 × x + 2 × 5

3x - 2 = 2x - 10

Step 2 :- Move constant to the right-hand and change their sign.

3x = 2x - 10 + 2

Step 3:- Add -10 and 2.

3x = 2x - 8

Step 4 :- Move variable to the left-hand side and change their sign.

3x - 2x = -8

Step 5 :- Subtract 2x from 2x.

x = -8

Hence, value of x = -8.

Given the directrix of y = 6 and focus of (0, 4), which is the equation of the parabola?\

Answers

Answer:

The directrix is y=6 and focus is (0,4)

The equation of the parabola is,

20-4y=x²

I need Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

9514 1404 393

Answer:

150.72 cm³314 cm³160 cm³48 cm³

Step-by-step explanation:

Put the given numbers in the relevant formula and do the arithmetic.

right cylinder

   V = πr²h = 3.14(4 cm)²(3 cm) = 3.14×48 cm³ = 150.72 cm³

cone

  V = 1/3πr²h = 1/3(3.14)(5 cm)²(12 cm) = 3.14×100 cm³ = 314 cm³

pyramid of unknown shape

  V = 1/3Bh = 1/3(16 cm²)(30 cm) = 160 cm³

square pyramid

  V = 1/3s²h = 1/3(3 cm)²(16 cm) = 48 cm³

1/2 litre of kerosene costs $1.50what is the cost ofn2 litre of kerosene​

Answers

Answer:

$6

Step-by-step explanation:

1.5 × 2 = 3

1 liter = $3

3 × 2 = 6

2 liters of kerosene is $6

6 dollars is the cost of the kerosene

Need the answer for all of them

Answers

It’s really easy, just do it ur self. Or use photo math!

When male workers were asked how many hours they worked in the previous​ week, the mean was with a standard deviation of . Does this suggest that the population mean work week for men exceeds ​hours

Answers

Answer:

We can conclude that the population mean work week for men exceed 40 hours.

Step-by-step explanation:

Given that :

Mean, xbar = 45.6

Standard deviation, s = 14.6

Sample size, n = 893

x = 40

Hypothesis :

H0 : μ = 40

H1 : μ > 40

Using test statistic for one sample t test :

Test statistic = (xbar - μ) ÷ (s/√(n))

Test statistic = (45.6 - 40) ÷ (14.6/√(893))

T = (5.6 / 0.4885703)

Test statistic = 11.46

Using the Pvalue approach :

Reject H0 : if Pvalue < α

Pvalue for test statistic of 11.46 will be approximately 0 (Extremely low)

Hence, Pvalue < α ; We reject H0 ; and conclude that population mean work week for men exceed 40 hours

In 1995 the U.S. federal government debt totaled 5 trillion dollars. In 2008 the total debt reached 10 trillion dollars. Which of the following statements about the doubling time of the U.S. federal debt is true based on this information?

Answers

Where are the statements?

Q2 (a). Workout the value of each expression:
i)
X-y when x =
10 and y = 15
n when m
10 and n= = 2
iii) f+2g when f= 5 and g = 10
30
m

Answers

Step-by-step explanation:

x=10, y=15

x-y = -5

n=10, m=2

n-m= 8

f=5, g=10

f+2g

5+2(10)

=25

What are the solutions to the quadratic equation x^2-16=0

Answers

Answer:

x = ±4

Step-by-step explanation:

Hi there!

[tex]x^2-16=0[/tex]

Move 16 to the other side

[tex]x^2=16[/tex]

Take the square root of both sides

[tex]\sqrt{x^2}=\sqrt{16}\\x=\pm4[/tex]

I hope this helps!

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