Mathematics College

A lathe is set to cut bars of steel into lengths of 6 centimeters. The lathe is considered to be in perfect adjustment if the average length of the bars it cuts is 6 centimeters. A sample of 121 bars is selected randomly and measured. It is determined that the average length of the bars in the sample is 6.08 centimeters with a standard deviation of 0.44 centimeters. Compute the p-value for testing whether the population mean is larger than 6 centimeters.

Answers

Answer 1

Answer:

0.0239

Step-by-step explanation:

[tex]H_0;\mu=\sigma[/tex]

[tex]H_a;\mu>6[/tex]

[tex]\bar{x}=6.08[/tex] = Mean

[tex]s=0.44[/tex] = Standard deviation

[tex]n=121[/tex] = Sample size

Test statistic is given by

[tex]\dfrac{\bar{x}-\mu}{\dfrac{s}{\sqrt{n}}}=\dfrac{6.08-6}{\dfrac{0.44}{\sqrt{121}}}\\ =2[/tex]

From T table we know it is a right tailed test.

Degree of freedom = [tex]n-1=121-1=120[/tex]

[tex]P(t>2)=1-P(t<2)\\\Rightarrow P(t>2)=1-0.9761\\\Rightarrow P(t>2)=0.0239[/tex]

Hence, p-value is 0.0239.

Related Questions

There are 8 red marbles and 3 blue marbles in a bag. (a) What is the ratio of blue marbles to red marble 0 (b) What is the ratio of all marbles in the bag to blue marbles?
​

Answers

Answer:

a. 3/8

b. 11/3

Step-by-step explanation:

a. For this, we need to use a fraction to compare how many of each marble there are. 3 blue to 8 red. The ratio is 3 to 8 or 3/8

b. Now we have to compare how many all the marbles in the bag to just the blue marbles. All the marbles: 8+3=11, blue marbles: 3. So the ratio is 11 to 3 or 11/3

a) The ratio of blue marbles to red marbles: 3/8.

b) The ratio of all marbles to blue marbles: 11/3.

(a) To find the ratio of blue marbles to red marbles, divide the number of blue marbles by the number of red marbles.

Blue marbles: 3

Red marbles: 8

So, the ratio is 3/8

(b) To find the ratio of all marbles in the bag to blue marbles, divide the total number of marbles by the number of blue marbles.

Total marbles = 8 + 3

                       = 11

So, the ratio is 11/3.

Learn more about Ratio here:

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Supervisor: “Your bonus will be 7% of your sales revenue.” Employee: “My sales revenue is $8,327, so my bonus will be __________.”

Answers

Answer:

$586.04 is your answer

Indicate the answer choice that best completes the statement or answers the question
Determine whether each table represents a linear or a nonlinear function.
b
0
12
4
18
16
38
16

Answers

Answer:

I also think b one is correct

what is the first step in evaluating the expression below ? 3x{9-(4+2)÷2}​

Answers

If you follow the rules of PEMDAS, the parentheses should be first.
So it would be,
3x{9-7/2}
3x5.5
16.5
hope this helps! If its wrong Im so sorry

The force of gravity affects the mass of an object. True or False ​

Answers

Step-by-step explanation:

True

and the more mass the object had the greater gravitational force it is

P. S my opinion

find the multiplicative inverse of -2 in mod 7
​

Answers

Answer:

So something mod 7 is -2Lets consider what mod does as a commands: If you have 7 and then mod it by 2 ie 7%2 you get 1 Essentially mod is seeing how many times a # goes into the other number and finding the remainder. In this case we want the remainder of 2: -8%3 =-2note there is also a mathematical procedural way to solve this.Rate positively and give brainlist

Solve the following system of equations.
y = 12 - 5x
2x + 3y = 11

Answers

Use substitution
2x + 3(12 - 5x) = 11
Distributive property
2x + 36 - 15x = 11
Combine like terms
-13x + 36 = 11
Subtract 36
-13x = -25
x = 25/13
y = 12 - 5(25/13)
y = 31/13
Solution: x = 25/13, y = 31/13

b) Another brand of sheets is on sale 30% off with a regular price of $18.00 per sheet. Which is a better deal, the previous example or this one? Explain. (2 points)

30% OFF EACH SHEET!

30% OFF EACH SHEET!

Answers

Answer:

30= 20 so, that’s 10 dollars of

                                            1o+ 7. 5=17. 5+10=27 .50

Step-by-step explanation:

I took the test hope this helps

Which of the following shows the prime factorization of 72 using exponential notation?

Answers

The prime factorization of 72 using exponential notation is [tex]2^{3} *3^{2}[/tex].

It is required to find the prime factorization of 72.

What is a prime factorization ?

Prime factorization of a number is breaking a number down into the set of prime numbers which multiply together to result in the original number. The fundamental theorem of arithmetic says that every positive integer has a unique prime factorization.

Given that:

The prime factorization for 72 is

=2×2×2×3×3 .

=[tex]2^{3} *3^{2}[/tex]

Hence,  the prime factorization of 72 using exponential notation is [tex]2^{3} *3^{2}[/tex].

Learn more about prime factorization here:

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i need help on this question , please!!!

Answers

Answer: 9

Step-by-step explanation:

Carol had $497 in her bank account if $912 is withdrawn from it how much is new balance in her bank account

Answers

-415 because $497-$912=-415 please mark me brainliest

The anwser is -415

hope this helped!

franciso makes $12 per hour doing part-time work on saturdays

Answers

Francisco is probably a beaner or mongrel with no business working or even existing in a white nation.

which is the correct answer?​

Answers

Step-by-step explanation:

Step 3 is incorrect, it should be x - 4 + x = x(x - 3).

x - 4 + x = x(x - 3)

2x - 4 = x² - 3x

x² - 5x + 4 = 0

(x - 4)(x - 1) = 0

x = 4 or x = 1.

x = 4 is rejected as 1 / (x - 4) will become 1 / 0 which is undefined.

=> x = 1.

A company wants to hire the person who
types the most words per minute.
Liz types 648 words in 9 minutes.
Brad types 816 words in 12 minutes.
Who will get hired?

Answers

Liz will get hired! To do this you will solve each person’s WPM!

Liz: 648 divided by 9 which equals 72 WPM!

Brad: 816 divided by 12 which equals only 68 WPM!

72 is greater and faster than 68 which means Liz will be hired!

Please give brainliest❤️

Answer:

Liz

Step-by-step explanation:

liz types more words per min.

Decide, for each of the statements below, if they are true or false. a) We use bootstrap distributions as a tool to calculate p-values b) The spread of the bootstrap distribution resembles the spread of the sampling distribution c) Each bootstrap statistic is calculated from a bootstrap sample formed by drawing an entirely new sample from the population

Answers

Answer:

a) True

b) True

C) false

Step-by-step explanation:

just a guess..... Merry Christmas

which is greater 0.45 or 9/10???

Answers

Answer:

9/10 bc it would be .90 in decimals

Step-by-step explanation:

Answer:

9/10 is

Step-by-step explanation:

9/10 as a decimal is 0.9 and if you line them up, 0.9 is greater than 0.45

Which diagram best shows how fraction bars can be used to evaluate 1/2 ÷ 1/4

A: 2/4
B:2
C:1/2
D:1/2

Answers

Answer:

B

Step-by-step explanation:

Which of the following shows the integers in order from least to greatest?

3, -2, 0,-1,-5
0,-1,-2, 3, -5
-1, -2, -5,0,3
-5, -2,-1,0,3
Od

Answers

Answer:

I think

Step-by-step explanation:

-5,-2,-1,0,3 that is definitely my answer

Answer:

the last one

Step-by-step explanation:

......

...

What is the ratio of frosted cookies to non-frosted cookies?

Answers

Answer:

27:9

Step-by-step explanation:

The degree measure of one of two complementary angles is twice that of the other. What is one of the degree measures of the angles?
A.) 30 degrees
B.)40 degrees
C.)45 degrees
D.)27 degree

Answers

Answer:

30°  is one of the degree measures of the angles.

Hence, option (A) is true.

Step-by-step explanation:

Let 'x' be the degree measure of the first angle.

Given that the degree measure of one of two complementary angles is twice that of the other.

Thus, the other angle = 2x

Complementary angles

We know that two angles are termed as complementary angles when the sum of their measured angles is 90°.

Thus the equation becomes

x + 2x = 90°

3x =  90°

Divide both equations by 3

3x/3 = 90°/3

x = 30°

Therefore, 30°  is one of the degree measures of the angles.

Hence, option (A) is true.

Question :

The degree measure of one of two complementary angles is twice that of the other. What is one of the degree measures of the angles?

Answer :

A.) 30 degrees

Solution :

Let one angle = x

According to statement,

Another angle = 2 × first angle

[tex] \sf : \implies Another \: angle = 2x[/tex]

Now, we know that sum of complementary angles is 90°

Hence,

[tex] \sf : \implies x + 2x = 90^{\circ}[/tex]

[tex] \sf : \implies 3x = 90^{\circ}[/tex]

[tex] \sf : \implies x = \dfrac{\cancel{90}^{\circ}}{\cancel{3}}[/tex]

[tex] \sf : \implies x = 30^{\circ}[/tex]

[tex] \Large \underline{\boxed{\sf{ x = 30^{\circ} }}}[/tex]

Therefore, one of the angle is 30°.

Another angle = 2 × 30° = 60°

What is the Slope for these graph ?

Answers

Answer:

The slope of the first graph is [tex]\frac{2}{3}[/tex] and the slope of the second graph is [tex]\frac{4}{2} = 2[/tex]

Step-by-step explanation:

First Graph

1. use rise over run to find the slope

2. the line goes up 2 numbers before it touches again

3. the line goes ever 3 numbers before it touches again

Second Graph

1. use rise over run to find the slope

2. the line goes up 4 numbers before touching again

3. the line goes over 2 numbers before touching again

To collect data on the signal strengths in a neighborhood, Briana must drive from house to house and take readings. She has a graduate student, Henry, to assist her. Briana figures it would take her 12 hours to complete the task working alone, and that it would take Henry 18 hours if he completed the task by himself. How long will it take Briana and Henry to complete the task together?

Answers

Answer:

Both take time together = 36 / 5 hours = 7.2 hours

Step-by-step explanation:

Given:

Briana take time = 12 hour

Henry take time = 18 hour

Find:

Both take time together

Computation:

Briana 1 hour work = 1/12

Henry 1 hour work = 1/18

Both take time together = 1/[1/12+1/18]

Both take time together = 1/[5/36]

Both take time together = 36 / 5 hours = 7.2 hours

In a sample of 41 temperature readings taken from the freezer of a restaurant, the mean is 29.7 degrees and the population standard deviation is 2.7 degrees. What would be the 80% confidence interval for the temperatures in the freezer?

Answers

Answer: [tex]=(29.1596\text{ degrees},\ 30.2404\text{ degrees})[/tex]

Step-by-step explanation:

Given: Sample size: n = 41

Sample mean [tex]\overline{x}= 29.7[/tex] degrees

Population standard deviation [tex]\sigma=2.7[/tex] degrees

Confidence level (c) =  80% =0.80

Significance level (a) = 1- c = 1-0.80 = 0.20

z-score for 80% confidence level : z = 1.2816   [from z-table]

Confidence level for population mean :-

[tex]\overline{x}\pm z\dfrac{\sigma}{\sqrt{n}}[/tex]

[tex]=29.7\pm ( 1.2816)\dfrac{2.7}{\sqrt{41}}[/tex]

[tex]=29.7\pm ( 1.2816)\dfrac{2.7}{6.403124}[/tex]

[tex]=29.7\pm ( 1.2816)(0.42167)[/tex]

[tex]=29.7\pm 0.5404[/tex]

[tex]=(29.7-0.5404,\ 29.7+0.5404)[/tex]

[tex]=(29.1596,\ 30.2404)[/tex]

Hence, 80% confidence interval for the temperatures in the freezer [tex]=(29.1596\text{ degrees},\ 30.2404\text{ degrees})[/tex]

One way to find the total cost of a jacket for $55 with a sales tax of 2%

Answers

Answer:

cost of jacket 55

sales tax 2/

55/ 2 percent × 100

2,750

I need help ASAP it’s compound interest and I’m not very good at it

Answers

Answer:

Part B:

5) She will have $4445.244256 in 3 years

Part C:

1) She will have $8081.130039 in 10 years

2) He will have $13360.55059 in 8 years

Step-by-step explanation:

The formula of the compound interest is A = P [tex](1+\frac{r}{n})^{nt}[/tex], where

A is the new valueP is the initial amountr is the rate in decimaln is the number of the periodt is the time in years

Part B:

5)

∵ P = $4250

∵ r = 1.5% = 1.5 ÷ 100 = 0.015

∵ n = 4 ⇒ Compounded quartly

∵ t = 3 years

→ Substitute them in the formula above

∴ A = 4250 [tex](1+\frac{0.015}{4})^{4(3)}[/tex]

∴ A = 4250 [tex](1.00375)^{12}[/tex]

∴ A = 4445.244256

∴ She will have $4445.244256 in 3 years

Part C:

1)

∵ Grace deposits $6000

∴ P = 6000

∵ The account is compounded semi-annually at 3%

∴ r = 3% = 3 ÷ 100 = 0.03

∴ n = 2 ⇒ compounded semi-annually

∵ The time is 10 years

∴ t = 10

→ Substitute them in the formula above

∴ A = 6000 [tex](1+\frac{0.03}{2})^{2(10)}[/tex]

∴ A = 6000 [tex](1.015)^{20}[/tex]

∴ A = 8081.130039

∴ She will have $8081.130039 in 10 years

2)

∵ Danial opens an account that is compounded semi-annually at 5%

∴ r = 5% = 5 ÷ 100 = 0.05

∴ n = 2 ⇒ compounded semi-annually

∵ He deposits $9000

∴ P = 9000

∵ The time is 8 years

∴ t = 8

→ Substitute them in the formula above

∴ A = 9000 [tex](1+\frac{0.05}{2})^{2(8)}[/tex]

∴ A = 9000 [tex](1.025)^{16}[/tex]

∴ A = 13360.55059

∴ He will have $13360.55059 in 8 years

What is the height of the triangle? Please mark me brainlest

Answers

Answer:

It's 3 square units.

Count the "squares" and you get 3 and it's not real units so It's called "Square units".

:)

Answer:

no figures

Step-by-step explanation:

to work with and the answer is can't be determined

It takes you 1 minute 40 seconds to walk 550 feet. What is your average speed?

Answers

Answer:

5.5 feet per second or 330 feet per minute

Step-by-step explanation:

550/100 seconds = 5.5 feet per second  

5.5 x 60 = 330 feet per minute

Answer:

3.75 mph (miles per hour)

(i finally got the right answer, ignore my comment, i am so sorry it was wrong T_T)

What is the difference between the two hotel rates per night?
A $26 per night
B $28 per night
C $298 per night

Answers

Answer:

3

Step-by-step explanation:

What is this pls answer

Answers

Answer:4:24 I believe

Step-by-step explanation:

Answer:

4:25

Step-by-step explanation:

The little string stand for hour and the big string stands for the minutes

PLEASE HELP DUE AT 8:30 A.M. I WILL MARK BRAINLIEST! Thank you

Choose the correct solution to the equation:

1. 7B+ 4= 7B - 3
A. No Solution
B. Infinitely Many Solutions
C. One Solution

2. 2C-5=8C+7
A. No Solution
B. Infinitely Many Solutions
C. One Solution


3. 5A+7=3A+7+2A
A. No Solution
B. Infinitely Many Solutions
C. One Solution

Answers

Answer:

1. no solution

2. one solution

3. infinitely many solutions

Step-by-step explanation:

1. 4= -3

false

2. -5=6c+7

2=6c

c=3

3. 5a+7=5a+7

true

Answer:

No solution

One solution

Infinite number of solutions

Step-by-step explanation:

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