answer.
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
lozanna [386]
2 years ago
14

1. A sample consists of 75 TV sets purchased several years ago. The replacement times of those TV sets have a mean of 8.2 years.

Assume σ= 1.1 years. Find the 95% confidence interval.
Mathematics
1 answer:
Greeley [361]2 years ago
3 0

Answer:

8.2+/-0.25

= ( 7.95, 8.45) years

the 95% confidence interval (a,b) = (7.95, 8.45) years

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = 8.2 years

Standard deviation r = 1.1 years

Number of samples n = 75

Confidence interval = 95%

z value(at 95% confidence) = 1.96

Substituting the values we have;

8.2+/-1.96(1.1/√75)

8.2+/-1.96(0.127017059221)

8.2+/-0.248953436074

8.2+/-0.25

= ( 7.95, 8.45)

Therefore the 95% confidence interval (a,b) = (7.95, 8.45) years

You might be interested in
Expand (3 - 2x)6. What is the coefficient of the sixth term?
stich3 [128]
To expand (3 - 2x)^6 use the binomial theorem:

(x + y)^ n = C(n,0) x^ny^0 + C(n,1)x^(n-1) y + C(n,2)x^(n-2) y^2 + ...+ C(n,n+1)xy^(n-1) + C(n,n)x^0y^n


So, for x = 3, y = -2x , and n = 6 you get:

(3 - 2x) ^6 = C(6,0)(3)^6 + C(6,1)(3)^5 (-2x) + C(6,2) (3)^4 (-2x)^3 + C(6,3) (3^3) (-2x)^4 + C(6,4)(3)^2 (-2x)^4 + C(6,5) (3) (-2x)^5 + C(6,6) (-2x)^6

So, the sixth term is C(6,5)(3)(-2x)^5 =  6! / [5! (6-5)! ] * 3 * (-2)^5 x^5 = - 6*3*32 = - 576 x^5.

The coefficient of that term is - 576.

Answer: - 576
5 0
2 years ago
when 1580 is divided into 13 equal parts, the remainder is 7. What is the correct way to write the quotient
Alisiya [41]

_121_ R7 or 121 7/13
13)1580
13
28
26
20
13
7
5 0
2 years ago
Read 2 more answers
The function y=log(x) is translated 1 unit right and 2 units down. Which is the graph of the translated function?
SVEN [57.7K]

Given the function y=\log x.

1. Translation to the right 1 unit changes the function y=\log x into the function y=\log (x-1).

2. Translation 2 units down changes the function y=\log (x-1) into the function y=\log (x-1)-2.

3. Two translations change the funcion y=\log x into the function y=\log (x-1)-2.

4. The graph of the final function you can see in attached diagram.

5 0
2 years ago
Read 2 more answers
During a 5-kilometer run to raise money for the school band, Tabitha ran 0.08 kilometer per
Thepotemich [5.8K]

Answer:

True

0.08 km/ 1 min = 1 mi = 1.61 km

answer rounds to 0.05

7 0
2 years ago
Ethan bought 4 packages of pencils. After he gave 8 pencils to his friends, he had 40 pencils left over. How many pencils were i
swat32

Answer:

12 pencils in each package.

Step-by-step explanation:

Given:

Ethan bought 4 packages of pencils.

No of Packages = 4

No of pencils given to friend = 8 pencils

No of pencils left over =40 pencils

∴Total Number of Pencils = No of pencils given to friend + No of pencils left over =40+8 =48

Total Number of pencils in each package = \frac{\textrm{Total Number of Pencils}}{\textrm{No Of Packages}}= \frac{48}{4}= 12 \ pencils

8 0
2 years ago
Other questions:
  • Grant pays 10 cents per minute plus $5 per month for telephone long distance. Write an algebraic expression for m minutes of lon
    6·1 answer
  • (d) estimate p(x < 1.5), i.e., the proportion of all thickness values less than 1.5. [hint: if you knew the values of μ and σ
    15·1 answer
  • An urn contains two red and two green marbles. we pick one marble, record its color, and replace it before picking the second ma
    13·2 answers
  • According to the Pew Research Center, the proportion of the American population who use only a cellular telephone (no landline)
    14·1 answer
  • Let $a=-1$, let $b=3$, and let $c=-5$. Calculate $b(abc+5ab)+b(c+a)$.
    15·1 answer
  • Using the power series methods solve the 1st order Lane-Emden Equation:
    15·1 answer
  • Lines RS, TV, and SW are shown. On a coordinate plane, 3 lines are shown. Line R S goes through (negative 8, 6) and (2, 6). Line
    13·2 answers
  • Dave walked to his friend's house at a rate of 4mph and returned back biking at a rate of 10mph. If it took him 18 minutes longe
    9·1 answer
  • H(t)=(t+3)
    12·1 answer
  • What is the quotient of 5472 and 81?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!