1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vladimir2022 [97]
3 years ago
8

A machine is used to fill plastic bottles with bleach. A sample of 18 bottles had a mean fill volume of 2.007 L and a standard d

eviation of 0.010 L. The machine is then moved to another location. A sample of 10 bottles filled at the new location had a mean fill volume of 2.001 L and a standard deviation of 0.012 L. It is believed that moving the machine may have changed the mean fill volume, but it is unlikely to have changed the standard deviation. Assume that both samples come from approximately normal populations and have equal variance. The 99% confidence interval for the difference between the mean fill volumes at the two locations is approximately
Required:
Find a 99% confidence interval for the difference between the mean fill volumes at the two locations.
Mathematics
1 answer:
abruzzese [7]3 years ago
8 0

Answer:

The 99% confidence interval for the difference between the mean fill volumes at the two locations is;

-0.1175665 L < μ₁ - μ₂ < 0.1295665 L

Step-by-step explanation:

The number of bottles in the sample at the first location, n₁ = 18 bottles

The mean fill volume, \bar{x}_{1} = 2.007 L

The standard deviation, σ₁ = 0.010 L

The number of bottles in the sample at the second location, n₂ = 10 bottles

The mean fill volume, \bar{x}_{2} = 2.001 L

The standard deviation, σ₂ = 0.012 L

The nature of the variance of the two samples = Equal variance

The confidence interval of the statistics, C = 99%

The difference between the mean

\mu_1 - \mu_2 = \left (\bar{x}_{1}- \bar{x}_{2}  \right )\pm t_{\alpha /2} \times \sqrt{\dfrac{\sigma _{1}^{2}}{n_{1}}+\dfrac{\sigma _{2}^{2}}{n_{2}}}

(1 - C)/2 = (1 - 0.99)/2 = 0.005, the degrees of freedom, f = n₁ - 1 = 10 - 1 = 9

∴ t_{\alpha /2} = 3.25

Therefore, we have;

\mu_1 - \mu_2 = \left (2.007- 2.001  \right )\pm 3.25 \times \sqrt{\dfrac{0.01^{2}}{18}+\dfrac{0.12^{2}}{10}}

Therefore, we have the difference of the two means given as follows;

-0.1175665 L < μ₁ - μ₂ < 0.1295665 L

You might be interested in
A ball is tossed up in the air at an initial rate of 50 ft/sec from 5 ft off the ground.
Fofino [41]

Answer with Step-by-step explanation:

Since we have given that

Initial velocity = 50 ft/sec = v_0

Initial height of ball = 5 feet = h_0

a. What type of function models the height (ℎ, in feet) of the ball after tt seconds?

As we know the function for height h with respect to time 't'.

h(t)=-16t^2+v_0t+h_0\\\\h(t)=-16t^2+50t+5

b. Explain what is happening to the height of the ball as it travels over a period of time (in tt seconds).

What function models the height, ℎ (in feet), of the ball over a period of time (in tt seconds)?

if it travels over a period of time then time becomes continuous interval . so it will use integration over a period of time

Our function becomes,

h(t)=\int\limits^t_0 {-16t^2+50t+5} \, dt

3 0
3 years ago
please help me!!!!!!!!!!!!!
yKpoI14uk [10]
Let x be the length of each row.
Denver can plant 3 rows of a certain length with 2 seedlings leftover.
Total number of seeds he has = 3x+2 Denver can plant 4 rows of the same length with 3 seedling spots left empty.
Total number of seeds he has = 4x-3 Using (i) and (ii), we get= 3x+2=4x-3

Isolate variable terms: 2+3=4x-3
Answer= 5=X
5 0
3 years ago
Any earthling wanna help with this please??
UNO [17]

Step-by-step explanation:

the right answer is A option

8 0
3 years ago
Read 2 more answers
A famous painting was purchased for $560,000 in the year 2021. The value has been increasing by $8,000 per year.
yarga [219]

The price of a painting in the year 2022 will be $ 568,000.

<h3>What is inflation?</h3>

A rise in the amount of a certain product or service is known as inflation.

Given data;

Cost of painting in the year 2021, P₁ = $560,000

Cost of painting in the year 2022, P₂ =?

The amount increases every year,x = $8,000

The cost of painting in the year 2022 is found as;

P₂ = P₁ + x

P₂= $560,000 + $8,000

P₂ = $ 568,000

Hence the price of a painting in the year 2022 will be $ 568,000.

To learn more about inflation refer;

brainly.com/question/19263433

#SPJ1

6 0
2 years ago
I'd love some help &lt;3 !!
Fudgin [204]
Bottom ratio and 18 bags
6 0
2 years ago
Read 2 more answers
Other questions:
  • A total of $12,000 is invested in two corporate bonds that pay 7.5% and 9% simple interest. The invest wants an annual interest
    6·1 answer
  • A shoe box is shaped like a rectangular prism.
    12·2 answers
  • What are the solutions to 5x²-17x-6=0?
    6·1 answer
  • What is the value of x? Enter your answer in the box. x = °
    14·1 answer
  • 20 is what number of 400
    5·2 answers
  • Five less than a number is at most 11. What is the number
    5·1 answer
  • Solve by completing the square<br> x^2 + 10x - 17 = 22
    10·1 answer
  • X = 1/4 y = 2/3 z = 4 1/5
    10·1 answer
  • Determine the y-intercept of the following equation.<br> (-2 - 1)(2+3) = y
    6·1 answer
  • Solve for variable its in pre algebra
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!