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
Nata [24]
3 years ago
7

Construct a 95​% confidence interval to estimate the population mean using the data below. x overbarequals37 sigmaequals10 nequa

ls44 With 95​% ​confidence, when nequals44 the population mean is between a lower limit of 52.82 and an upper limit of 58.21. ​(Round to two decimal places as​ needed.)
Mathematics
1 answer:
kap26 [50]3 years ago
7 0

Answer:

With 95% confidence when n equals 44, the population mean is between a lower limit of 33.96 and an upper limit of 40.04

Step-by-step explanation:

Confidence Interval = mean + or - Error margin (E)

mean = 37

sd = 10

n = 44

degree of freedom = n - 1 = 44 - 1 = 43

t-value corresponding to 43 degrees of freedom and 95% confidence level is 2.0165

E = t × sd/√n = 2.0165×10/√44 = 3.04

Lower limit = mean - E = 37 - 3.04 = 33.96

Upper limit = mean + E = 37 + 3.04 = 40.04

95% confidence interval is between 33.96 and 40.04

You might be interested in
Can y’all help me out?
Harlamova29_29 [7]
20/x+11=10/x+3
20(x+3)=10(x+11)
20x + 60 = 10x + 110
10x = 50
x = 5
6 0
3 years ago
What is the value of (x^3 − 7x^2 − 18x + 42) when x = 3?
Eva8 [605]

Answer:

-150

Step-by-step explanation:

x^2 - 7x^2 - 18x +42

3^2 - 7(3)^2 - 18(3) + 42

9 - 63 - 54 + 42

-54 -54 + 42

-108 + 42

-150

8 0
3 years ago
the temperature of a hot cup of coffee left on the counter every minute the monthly sales of albums by a band whose popularity i
zmey [24]
I think uhhh i think it’s a carrot
5 0
3 years ago
Pls, can you help me? thx.<br><img src="https://tex.z-dn.net/?f=%20%5Ccos%28x%20%2B%20%5Cfrac%7B%5Cpi%7D%7B3%7D%29%20%5Cgeqslant
Veseljchak [2.6K]

For x between -\pi and \pi, we have

  • \cos x=\frac{\sqrt2}2=\frac1{\sqrt2} when x=\pm\frac\pi4;
  • \cos x=1 for x=0; and
  • \cos x=0 for x=\pm\frac\pi2

\cos x is continuous over its domain, so the intermediate value theorem tells us that

\cos x\ge\frac{\sqrt2}2

is true for -\frac\pi4\le x\le\frac\pi4.

For all x, we take into account that \cos x is 2\pi-periodic, so the above inequality can be expanded to

-\dfrac\pi4\le x+2n\pi\le\dfrac\pi4

where n is any integer. Equivalently,

-\dfrac\pi4-2n\pi\le x\le\dfrac\pi4-2n\pi

To get the corresponding solution set for

\cos\left(x+\dfrac\pi3\right)\ge\dfrac{\sqrt2}2

simply replace x with x+\frac\pi3:

-\dfrac\pi4-2n\pi\le x+\dfrac\pi3\le\dfrac\pi4-2n\pi

\implies\boxed{-\dfrac{7\pi}{12}-2n\pi\le x\le-\dfrac\pi{12}-2n\pi}

7 0
3 years ago
PLEASE HELP ASAP!!<br><br> Which graph represents the function of f(x) = 9x^2-36 / 3x+6
-BARSIC- [3]
I think its the second one... (hope its right)

5 0
3 years ago
Read 2 more answers
Other questions:
  • Pls help me!
    9·1 answer
  • Area of a octagon with radii of 13.07 in. and perimeter of 80 in.
    14·1 answer
  • What is the slope formula?
    5·2 answers
  • maria has a ribbon that is 5/8 yard long if she cuts her ribbon into 6 pieces of equal length what will be the length in yards o
    6·1 answer
  • Question 1<br> 5/6<br> Minus<br> 1/4
    6·1 answer
  • PLD HELP ME I WILL FAIL PLS​
    8·1 answer
  • The graph shows the distance Arlene ran on Saturday preparing for a marathon. What is the rate of change and what does it repres
    11·1 answer
  • If 30.s g of milk contains 18 C, how many
    12·2 answers
  • Identify the period midline and amplitude of the following cosine function graph?
    11·1 answer
  • Helppppp me I am stuck help me plzz
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!