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
Furkat [3]
3 years ago
10

Use the formula to find the standard error of the distribution of differences in sample means, x¯1-x¯2. Samples of size 100 from

Population 1 with mean 95 and standard deviation 14 and samples of size 90 from Population 2 with mean 75 and standard deviation 15 Round your answer for the standard error to two decimal places. standard error = Enter your answer in accordance to the question statement
Mathematics
1 answer:
garri49 [273]3 years ago
6 0

Answer:

standard error = 2.11

Step-by-step explanation:

First we stablish the data that we have for each sample:

<u>Population 1</u>                                          <u>Population </u>2

n₁ = 100                                                     n₂ = 90

x¯1= 95                                                    x¯2 = 75

σ₁ = 14                                                        σ₂ = 15                  

To calculate the standard error of each sample we would use the formulas:

σ = σ₁/√n₁

σx¯2 =  σ₂/√n₂

Now, in order to obtain the standard error of the differences between the two sample means we combine those two formulas to obtain this:

σx¯1 - σ x¯2  = √(σ₁²/n₁ + σ₂²/n₂ )

So as you can see, we used the square root to simplify and now we require the variance of each sample (σ²):

σ₁² = (14)² = 196

σ₂² = (15)² = 225

Now we can proceed to calculate the standard error of the distribution of differences in sample means:

σx¯1 - σx¯2  = √(196/100 + 225/90) =  2.11

This gives an estimate about how far is the difference between the sample means from the actual difference between the populations means.

You might be interested in
P (-2,6), Q (9,6), R (7, -1), S (-4, -1) are the vertices of a quadrilateral.
vova2212 [387]

Step-by-step explanation:

Parallelogram

Reflect y=-1 ;x changes sign

6 0
3 years ago
Need help please :( What is the second term of (s+v)^5?
Citrus2011 [14]
First compute the coefficient like this:
C_5^1=\frac{5!}{1!(5-1)!}=\frac{5!}{4!}=\frac{5\times4!}{4!}
Simplifying the fraction over 4! we get:
C_5^1=5
and the variables are s^4v. So answer 5s^4v.

The correct answer is C then.  

3 0
3 years ago
I don't understand ÷ fractions
Reptile [31]
Ok. so, you have a fraction. lets say it is, 5/20. and the other, is. 2/5. flip the first one, and multiply. so your answer would be, 25/40. hope this helps.
7 0
3 years ago
Which of the following is closest to 149/1502?<br> a) 0.012<br> b) 0.77<br> c) 0.103<br> d) 0.151
irinina [24]
149/1502≈0.1, which is C. Hope it help!
3 0
3 years ago
1/3 of your birthday cake is leftover from your party. If you eat 1/4 of the leftover cake, what fraction of the original birthd
navik [9.2K]

Answer:

a twelth= 1/12

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Y= X-2<br> y = x2 - 5x+ 6
    10·1 answer
  • 3/8a - 4 =1/4 what is a
    9·1 answer
  • This pyramid has the same base as the prism, and its height is three times the height of the prism. What is the ratio of the vol
    13·1 answer
  • Insert &lt; or &gt; to form a true statement -17/18,3/5
    15·1 answer
  • The circumference of a circle is 36 x feet. What is the length of the radius of this circle?
    15·1 answer
  • Factor 8x?+ 10x + 2.
    12·1 answer
  • Why is it important to know the relationships between categorical variables?
    10·1 answer
  • please help! I already have 4, 5, and that's all please help me out dont put some stupid answer, please and thank you.​
    9·1 answer
  • Mr mogi barrowed $9,000 for 10 years to make home improvements if he paid a total of $11,000 in interest in interest at what I t
    9·1 answer
  • Help! What’s the answer? I’m stuck on this question
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!