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
ella [17]
3 years ago
12

Let us suppose we have data on the absorbency of paper towels that were produced by two different manufacturing processes. From

process 1, the sample size was 10 and had a mean and standard deviation of 200 and 15, respectively. From process 2, the sample size was 4 with a mean and standard deviation of 300 and 50, respectively.
Mathematics
1 answer:
maksim [4K]3 years ago
8 0

Answer:

The 95% CI for the difference of means is:

-155.45 \leq \mu_1-\mu_2 \leq -44.55

Step-by-step explanation:

<em>The question is incomplete:</em>

<em>"Find a 95% confidence interval on the difference of the towels mean absorbency produced by the two processes. Assumed that the standard deviations are estimated from the data. Round to two decimals places."</em>

Process 1:

- Sample size: 10

- Mean: 200

- S.D.: 15

Process 2:

- Sample size:  4

- Mean: 300

- S.D.: 50

The difference of the sample means is:

M_d=M_1-M_2=200-300=-100

The standard deviation can be estimated as:

\sigma_d=\sqrt{\frac{\sigma_1^2}{n_1}+\frac{\sigma_2^2}{n_2}}\\\\\sigma_d=\sqrt{\frac{15^2}{10}+\frac{50^2}{4}} =\sqrt{22.5+625}=\sqrt{647.5}=25.45

The degrees of freedom are:

df=n_1+n_2-2=10+4-2=12

The t-value for a 95% confidence interval and 12 degrees of freedom is t=±2.179.

Then, the confidence interval can be written as:

M_d-t\cdot \sigma_d\leq \mu_1-\mu_2 \leq M_d+t\cdot \sigma_d\\\\-100-2.179*25.45\leq \mu_1-\mu_2 \leq -100+2.179*25.45\\\\-100-55.45 \leq \mu_1-\mu_2 \leq -100+55.45\\\\ -155.45 \leq \mu_1-\mu_2 \leq -44.55

You might be interested in
(3x + 16) 5x value of x
Shalnov [3]

Answer:i need more info to answer this question

Step-by-step explanation:

7 0
3 years ago
Slope is 0 and (3,2) is on the line
USPshnik [31]

Answer:

y = 2

Step-by-step explanation:

if slope is 0 y stays the same and y is 2 on the point

7 0
3 years ago
Construct quadratic equation whose root are -3,+5.show the sloving​
harkovskaia [24]

Answer:

hope this will help u .

plz mark me brainliest

3 0
2 years ago
Read 2 more answers
What is the opposite of 6/7
lorasvet [3.4K]
If you were to reverse it it would be 7/6, but if you need it in another form, tell me.
3 0
3 years ago
Read 2 more answers
Factoring Quadratic Expressions:<br> 5p^2 - p - 18
Dennis_Churaev [7]
5 p^{2} -p-18

5 p^{2}-10p+9p-18

5p(p-2)+9(p-2)

(p-2)(5p+9)
3 0
2 years ago
Other questions:
  • 10p-2(3p-6)=4(5p-6)-10p
    7·1 answer
  • Help me please and thank you
    11·1 answer
  • Factor<br>1) (5a–3b)^2–25a^2<br>2) (−2a^2+3b)^2–4a^4<br>PLS Helppp
    8·1 answer
  • You invest $720 in an account that has an annual interest rate of 6.2%, compounded semiannually. How much money will be in the a
    13·1 answer
  • A youth basketball team has 7 girls and 6 boys. Five players play on the court at a time.
    13·2 answers
  • Please help answer this
    6·2 answers
  • A cube has a side length of inch.
    12·1 answer
  • Find the 15th term in the sequence f(n)=6n-3
    7·1 answer
  • HELP PLSSSSSSS!!!!!!!!!
    9·2 answers
  • How to write -1/2x + y=4 in slope form
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!