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
allsm [11]
3 years ago
10

Use technology and the given confidence level and sample data to find the confidence interval for the population mean mu. Assume

that the population does not exhibit a normal distribution. Weight lost on a diet:
99 % confidence
n equals 41
x overbar equals 4.0 kg
s equals 6.1 kg
Mathematics
1 answer:
Sphinxa [80]3 years ago
8 0

Answer: (1.55, 6.45)

Step-by-step explanation:

The confidence interval for population mean is given by :-

\overline\ {x}\pm\ z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}

Given : Significance level : \alpha: 1-0.99=0.01

Critical value : z_{\alpha/2}=2.576

Sample size : n=41

Sample mean : \overline{x}=4.0\text{ kg}

Standard deviation : \sigma=6.1\text{ kg}

Then, 99% confidence interval for population mean will be :_

4\pm\ (2.576)\dfrac{6.1}{\sqrt{41}}\\\\\approx4\pm2.45\\\\=(4-2.45, 4+2.45)=(1.55, 6.45)

You might be interested in
Divide -3x^3-2x^2-x-2 by x-2
Rasek [7]

Let's do this by Briot-Ruffini


First: Find the monomial root


x - 2 = 0

x = 2


Second: Allign this root with all the other coeficients from equation

Equation = -3x³ - 2x² - x - 2

Coeficients = -3, -2, -1, -2

2 | -3 -2 -1 -2


Copy the first coeficient


2 | -3 -2 -1 -2

-3


Multiply him by the root and sum with the next coeficient


2.(-3) = -6

-6 + (-2) = -8


2 | -3 -2 -1 -2

-3 -8


Do the same


2.(-8) = -16

-16 + (-1) = -17


2 | -3 -2 -1 -2

-3 -8 -17


The same,


2.(-17) = -34

-34 + (-2) = -36


2 | -3 -2 -1 -2

-3 -8 -17 -36


Now you just need to put the "x" after all these numbers with one exponent less, see


2 | -3x³ - 2x² - 1x - 2

-3x² - 8x - 17 -36


You may be asking what exponent -36 should be, and I say:


None or the monomial. He's like the rest of this division, so you can say:


(-3x³ - 2x² - x - 2)/(x - 2) = -3x² - 8x - 17 with rest -36 or you can say:

(-3x³ - 2x² - x - 2)/(x - 2) = -3x² - 8x - 17 - 36/(x - 2)


Just divide the rest by the monomial.

5 0
3 years ago
Zach and his friends had a movie marathon on Saturday. Every movie they watched was 2 hours long. Seven hours into their movie m
Ksenya-84 [330]
Y is the number of movies
x is the number of hours
It takes 2 hours per movie
Thus:

y = x/2
2y = x
x - 2y = 0

The answer is C
7 0
3 years ago
2/3 - 2/9 what is the answer ???
riadik2000 [5.3K]

Answer:

0.44

Step-by-step explanation:

2/3 - 2/9 = 0.44

8 0
2 years ago
Read 2 more answers
Rachel was an 85 average after four test. what does she need to earn on the next test if she wants to raise her average to exact
irakobra [83]

she took four tests with one more to take totals 5 tests

 88 x 5 = 440

 all her tests need to equal at least 440 to get an 88 average

since she has 85 average after 4, 85*4 = 340, so her 4 tests so far have equaled 340

440-340 = 100

 she will need to get a 100 on her 5th test to have an 88 average

4 0
3 years ago
I am building birdhouses for all of my students for an upcoming project. If I complete 2 1/2 birdhouses in 2/3 of an hour of wor
Volgvan

Answer:

3 3/4

Step-by-step explanation:

convert to decimal

2.50/0.666

=3.75

4 0
3 years ago
Other questions:
  • Can someone help me!!!!!!!
    15·1 answer
  • It takes 27 pounds of seed to completely plant a 3-acre field. How many pounds of seed are needed per acre?
    12·1 answer
  • In Sal’s sock drawer, there are 2 red, 2 blue, 2 yellow, 2 black, and 2 green socks. If he randomly picks one sock from the draw
    12·2 answers
  • My neighbor is buying new carpet for her bedroom floor. The length of the bedroom is 16 feet. The area of the bedroom is 288 squ
    5·1 answer
  • Graph the following expression on the number line by placing the dot in the proper locations. | x | = 2
    14·1 answer
  • Which is greater 5/6 or 1/3
    15·2 answers
  • 2 3/5 ÷ 2/3 <br> 3 9/10 <br> 2 9/10 <br> 1 11/15 <br> 1 4/5
    9·1 answer
  • Write an equation of the parabola in vertex form that passes through (0, -24) and has vertex (-6,-12)
    15·1 answer
  • HELP PLEASE! FOR EACH RELATION, DECIDE WHETHER OR NOT IT IS A FUNCTION.​
    10·1 answer
  • Find two positive integers whose sum is 48, and whose sum also equals twice their difference. What is the small integer, and the
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!