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
LuckyWell [14K]
3 years ago
8

onsider two populations for which μ1 = 38, σ1 = 2, μ2 = 23, and σ2 = 4. Suppose that two independent random samples of sizes n1

= 45 and n2 = 59 are selected. Describe the approximate sampling distribution of x1 − x2 (center, spread, and shape).
Mathematics
1 answer:
levacccp [35]3 years ago
3 0

Answer:

Center = 15

Spread = 0.599

Shape = Normal

Step-by-step explanation:

The provided information is:

\mu_1=38 \ \ \ \ \ \ \ \ \mu_2 = 23\\\sigma_1 =2 \ \ \ \ \ \ \ \ \ \sigma_2=4\\n_1=45 \ \ \ \ \ \ \ \ n_2 =59

Thus the center(mean) of the distribution is:

\begin{aligned}Mean &= \mu_1-\mu_2\\&=38-23\\&=15\end{aligned}

The spread (standard deviation) of the distribution is:

\begin{aligned}\textrm{Standard deviation}&=\sqrt{\frac{\sigma_1^2}{n_1}+\frac{\sigma_2^2}{n_2}}\\&=\sqrt{\frac{4}{45}+\frac{16}{59}}\\&=0.599\end{aligned}

The shape of the distribution is also normally distributed.

You might be interested in
Fundamental theorem of calculus<br> <img src="https://tex.z-dn.net/?f=g%28s%29%3D%5Cint%5Climits%5Es_6%20%7B%28t-t%5E4%29%5E6%7D
mr_godi [17]

Answer:

\displaystyle g'(s) = (s-s^4)^6

Step-by-step explanation:

The Fundamental Theorem of Calculus states that:
\displaystyle \frac{d}{dx}\left[ \int_a^x f(t)\, dt  \right] = f(x)

Where <em>a</em> is some constant.

We can let:
\displaystyle g(t) = (t-t^4)^6

By substitution:

\displaystyle g(s) = \int_6^s g(t)\, dt

Taking the derivative of both sides results in:
\displaystyle g'(s) = \frac{d}{ds}\left[ \int_6^s g(t)\, dt\right]

Hence, by the Fundamental Theorem:

\displaystyle \begin{aligned} g'(s) & = g(s) \\ \\  & = (s-s^4)^6\end{aligned}

3 0
2 years ago
Write an inequality for the situation below a number is no more than -4?
Anarel [89]
X is less than or equal to -4 (couldn’t find the symbol)
7 0
3 years ago
Read 2 more answers
Sharon suspects that her brother's penny is unfair. She flips it 50 times and heads comes up 40 times. Based on these trials, th
cricket20 [7]

The correct answer is B. 4/5. Hope this helps! : )

6 0
3 years ago
Read 2 more answers
Find the equation of a line, in slope intercept form of a line that passes through the point (9,2) and is parallel to the line 2
Roman55 [17]

Answer:

=1

Step-by-step explanation:

2(9)-(2)=8

18-2=8

9=8

9-8

=1

Im pretty sure this is the answer

5 0
3 years ago
A decorator has estimated the following costs for remodeling a large conference room in your office area: carpeting, $2,620; con
goldfiish [28.3K]
$2,620
$0,750
$0,630
$0,050
$0,090
+$0,425

=$4,665
7 0
3 years ago
Other questions:
  • Given: LN⊥KM,KL≅ML Prove: ΔKLN≅ΔMLN
    11·1 answer
  • Solve for r. s=2πrh
    11·1 answer
  • Question 1 (Essay Worth 2 points) A scale on a map shows that 2 inches = 25 miles. Part A How many inches on the map represents
    12·1 answer
  • Caleb works 15 hours per week mowing lawns in his neighborhood during summer vacation. He earns $7.50 per hour. If summer vacati
    11·2 answers
  • How to find the x intercept in -2/3x+8
    13·1 answer
  • When answered please show step by step
    10·1 answer
  • To subtract 136-87 using mental math Aaron subtract 136-90and go 46 what should he do next?
    12·2 answers
  • A taxi cab charges $0.55 per mile in addition to a $1.75 flat rate fee. Susie has $10 to spend on a taxi cab ride. The taxi driv
    9·1 answer
  • You need to buy edging to put around a flowerbed. If the flowerbed is 13 feet wide, how much do you need?
    9·1 answer
  • A 12-ounce soda can is 5 inches tall and 2.5 inches across. How much soda can it hold if it is completely full? Round your answe
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!