A Packaging Company produces boxes out of cardboard and has a specified weight of 16 oz. A random sample of 36 boxes yielded a sample mean of 15.3 oz. Given the standard deviation is 1.7 oz, obtain a 99% confidence interval for the true mean weight of the boxes. Interpret your results in the context of the problem. State the margin of error.

Answers

Answer 1

Answer:

The margin of error is of 0.73 oz.

The 99% confidence interval for the true mean weight of the boxes is between 14.57 oz and 16.03 oz. This means that we are 99% sure that the true mean weight of all boxed produced by the Packaging Company is between these two values, and that the specified weight is in this interval.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 2.575\frac{1.7}{\sqrt{36}} = 0.73[/tex]

The margin of error is of 0.73 oz.

The lower end of the interval is the sample mean subtracted by M. So it is 15.3 - 0.73 = 14.57 oz.

The upper end of the interval is the sample mean added to M. So it is 15.3 + 0.73 = 16.03 oz.

The 99% confidence interval for the true mean weight of the boxes is between 14.57 oz and 16.03 oz. This means that we are 99% sure that the true mean weight of all boxed produced by the Packaging Company is between these two values, and that the specified weight is in this interval.


Related Questions

Question 9 of 10 What is the median of the data set represented by the box plot shown below? A. 67 B. 50 O C. 56 D. 45


/please help\

Answers

Answer:

B)  50

Step-by-step explanation:

min = 38

quartile 1 = 45

median = 50

quartile 3 = 67

maximum = 75

what is 2x2+2i know the answer but you answer it

A. 1

B. 3

C.2

D.6​

Answers

The answer is D, 6 :)
D thats becuase if you do 2x2 it equals 4 and if you add 4 + 2= that'll be 6.

Solve each system by eliminating one of the variables by addition or
subtraction.

Answers

Answer:

(=^w^=) hope this helps

Step-by-step explanation:

1. (10,2)

2. (2,0)

3. (6,2)

4. (0.5,7.5)

5. (3.3, 0.36)

6. (3.5, 2.5)

The points (3,h) and (10,1) fall on a line with a slope of
4/7 What is the value of h?

Answers

Answer:

h = -3

Step-by-step explanation:

Use slope formula:

(1 - h)/(10 - 3) = 4/7(1 - h) / 7 = 4/71 - h = 4h = 1 - 4h = -3

Answer:

The answer is  h = -3

Step-by-step explanation:

(1 - h)/(10 - 3) = 4/7

(1 - h) / 7 = 4/7

1 - h = 4

h = 1 - 4

h = -3

Hurry plsss Plsssss
Which of the following describes the data set?
50, 59, 60, 61, 70, 76, 80
O A. Minimum = 80
First quartile = 60
Median = 60.5
Third quartile = 59
Maximum = 50
B. Minimum = 50
First quartile = 59
Median = 61
Third quartile = 76
Maximum = 80
O C. Minimum = 50
First quartile = 80
Median = 73
Third quartile = 60

Answers

Answer:

B is the correct answer as it qualifies for all the answers correctly.

Tyler has a three-dimensional shape with a bottom layer of 12 cubic inches. What is the volume of this figure if it has 3 layers all together?

Answers

Answer:

1 Tyler=12in³

3 Tyler =12×3=36in³

What is the equation of the following line written in slope-intercept form?
y = -5x
y = 5x
y = 5/x

Answers

The equation is y=5x

Answer:

y=5x

Step-by-step explanation:

first, we know that a rising line's slope is always positive, so the first one is incorrect

let's figure out the slope: y-y'/x-x' is the formula.

now, -5-5/-1-1= -10/-2= 5. so the slope of this line is 5.

Which ordered pair represents the y-intercept of the graph of the equation y = - 4 x - 7 ?​

Answers

Answer:

(0, -7)

Step-by-step explanation:

Since -4x is the slope, then -7 is the y-intercept.

For finding y intercept we substitute x=0

y = -7

The ordered pair would be

(0,-7)

hope this helps and is right. p.s. i really need brainliest :)

someone pls help me, i will mark brainliest(no links)

Answers

A and D are proportional

Which ratio represents cos x in the triangle to the right ?

Answers

Answer: 45/53

Step-by-step explanation:

CAH is Adjacent over Hypotenuse

PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

Answer:

ang(HIK) AND ang(GFD)

HIK GFD is the answer they are parallel

PLS ANSWER FAST WILL GIVE BRANLIEST

Answers

Answer:

m<RTS=63

m<PTQ=27

Step-by-step explanation:

8x-17=5x+13

x=10

5(10)+13=63

8(10)-17=63

<RTQ=<UTQ

90-63=27

Find the distance between the pair of points (-1, 4) and (-3, 7)

no links

Answers

Answer: d=sqrt(13)=3.605

Step-by-step explanation:

We know that the distance between the two points (x 1  ,y 1 ) and (x2,y  2 ) is

d= sqrt((x2-x1)^2 +(y2-y1)^2 )

as given

x1=-1 ,y=4 ,x2=-3,y2=7

d=sqrt((-3+1)^2+ (7-4)^2)

d=sqrt((-2)^2+(3)^2)

d=sqrt(4+9)

d=sqrt(13)=3.605


9) Choose all expressions that are equivalent to 3x + 6 (Use
Algebra tiles if needed)
a) -2x - 4 + 5x + 10
b) 3(x + 6)
c) x + 4 - 2x + 2
d) 3(x + 2)

Answers

Answer:

3(x+2)

Step-by-step explanation:

3x+6

Factor out 3.

3(x+2)

Answer plz due in a few min

Answers

Answer:

40

Step-by-step explanation:

24^2+32^2=c^2

square root of 1600 is 40

Answer:40

Step-by-step explanation:Because

a^2 + b^2=c^2

Brainliest for correct answer asap

Answers

B , -4x-4x-4 . the other answers are wrong

the probability that sandra gets a ride to work on any morning is 0.7. the probability that she gets a ride 3 times in a 5-day week is , abd the probability that she gets a ride at least 2 times in a 5-day workweek is .

Answers

Answer: 0.309, 0.969.

Step-by-step explanation: plato answer

Write the first six terms of the arithmetic sequence with the given first​ term, ​, and common​ difference, d.

Answers

9514 1404 393

Answer:

  340, 250, 160, 70, -20, -110

Step-by-step explanation:

The first term is given. Each successive term is found by adding the common difference to the one before.

  [tex]a_1=\boxed{340}\quad\text{given}\\a_2=340-90=\boxed{250}\\a_3=250-90=\boxed{160}\\a_4=160-90=\boxed{70}\\a_5=70-90=\boxed{-20}\\a_6=-20-90=\boxed{-110}[/tex]

A fitness instructor measured the heart rates of the participants in a yoga class at the conclusion of the class. The data is summarized in the histogram to the right. There were fifteen people who participated in the class between the ages of 25 and 45. Use the histogram to answer the question. What is the approximate percentage of participants that had a heart rate less than 130​ bpm?

Answers

Answer and Explanation:

Please find full question attached

From the bar chart, we can see that the the interval 130-150 has two bars in it:

Interval 130-140 with the highest frequency of 5

Interval 140-150 with frequency of 2

Therefore to find the percentage between 130-150 we add up the frequencies 2+5=7 and divide by the total frequency of 15 people all multiplied by 100

=7/15×100= 46.67%

Percentage of participants with heart rate between 130 and 150 =46.67%

14x1/2 consider the expression

Answers

Answer: 7

Step-by-step explanation:

14*1=14

14/2=7

There are 20 students in Lynn's class. 12 of the students are in choir and 8 are in band. Write a fraction, in simplest form, to represent the part of the class that is in choir.

Answers

Answer:

3/5

Step-by-step explanation:

i‍♀️‍♀️

Answer:

3/5

Step-by-step explanation:

students in choir - 12

total number of students - 20

students in choir

-------------------------

total no. of students

12

----

20

3

--

5

Please no links or flies, x .
The table shows how a 2-acre piece of land is split into 4 sections for holding animals. How many acres are used for horses?


Goats 35 acre

Pigs 15 acre

Llamas 25 acre

Horses ??


???/5
PLEASE ANSWERRRRR

Answers

9514 1404 393

Answer:

  4/5 acre

Step-by-step explanation:

We assume your allocations are ...

  goats: 3/5 acre

  pigs: 1/5 acre

  llamas: 2/5 acre

2 acres is 10/5 acres, so the remaining area is ...

  10/5 -3/5 -1/5 -2/5 = (10 -3 -1 -2)/5 = 4/5

4/5 acre is allocated to horses.

Mr Lim, who is in Singapore, wants to make a phone call to his client in
Chicago. The local time in Chicago is 14 h behind the local time in Singapore.
If Mr Lim wants to call his client at 7 a.m. (Chicago local time), at what time
(Singapore local time) must he make the call?

Answers

Answer:

5pm

........................

Mr. Lim has to make calls at 5:00  pm if he wants to talk with his client at 7:00 AM in Chicago due to the different time zone.

What are Time Zones?

A time zone is any place that observes the same standard time. For current time zones around the world, see the interactive Time Zone Map.

Given, Mr. Lim, who is in Singapore, wants to make a phone call to his client in Chicago. The local time in Chicago is 14 h behind the local time in Singapore. If Mr. Lim wants to call his client at 7 a.m. (Chicago local time)

Since there is a time difference between the two countries. Mr. Lim has to make calls 14 hours before as per the local time zone

14 hours before 7 AM is 5: 00 PM.

Therefore, Due to the time difference, Mr. Lim must make calls at 5:00 p.m. if he wishes to speak with his client at 7:00 a.m. in Chicago.

Learn more about time zones here:

https://brainly.com/question/3818424

#SPJ2

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Answers

The answer is d 2r have a multiplication relationship so you divide by 2 on both sides

16/2= 8

Answer:

D. 2r = 16

Step-by-step explanation:

r/2 = 16, r=32

8= r/8,    r=64

4r=16,     r=4

2r=16

/2    /2

r=8

Plz help me! Well mark brainliest if correct!

Answers

Answer:

diameter you are learning that the circle as a line in the middle goes across and the diameter

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I need the answer for this question

Answers

Answer:

6,912 i think that's the answer I'm not sure though

Step-by-step explanation:

Answer:

[tex]8,400in^2[/tex]

Step-by-step explanation:

Area of Trapezoid: [tex]A=h(\frac{b1+b2}{2} )[/tex]

Given: B1, B2 and h

B1 = 18 in

B2 = 24

h = 16 in

Substitute variables for the give numbers:

[tex]A=16(\frac{18+24}{2} )\\A = 336 in^2[/tex]

The 336 in is for one desk, and they want you to find 25 desks. So multiply 336 and 25.

[tex]x = 25(336)\\x = 8,400in^2[/tex]

what is y=mx+b solve for x

Answers

Answer:

equation of a line

Step-by-step explanation:

Answer:

Formula used during line equations

Need help thanks don’t understand

Answers

Answer:

You need help with what-?

mrs .velazco gave her students four options to choose from for the class project

Answers

Answer:

Step-by-step explanation:

what are the options

Tell wether the triangle with the given side is a right triangle.

Answers

Answer:

Number 4 is a right triangle whether 3 isnt.

Step-by-step explanation:

I just know this because a right triangle is always gonna have a 90 degree angle whether that number 3 doesnt have one

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