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
At the city museum, child admission is $ 5.30 and adult admission is $ 8.50 . On Tuesday, 162 tickets were sold for a total sale
zaharov [31]
Ekrnjhbgv,jhdx,jfhbgv,jhgsdt
7 0
3 years ago
What to write it here
Orlov [11]

Answer:

84 degrees

Step-by-step explanation:

Angle A = 83 degrees

Angle B = x degrees

Angle C = 135 degrees

Angle CDE = 122 degrees

We know that the four inner corners of a quadrilateral should add up to 360 degrees. Two supplementary angles will add up to 180 degrees. Adjacent angles on a straight line will always be supplementary. Knowing this, just solve for <ADC and add that amount to <A and <C. Then, subtract that sum from 360 degrees.

<ADC = 180-122 = 58

58+83+135 = 276

360-276 = 84 degrees

7 0
2 years ago
The cost of a raffle ticket is $2. There is also a one-time $5 fee to be part of the raffle. Which of the following expressions
Leona [35]
I think the answer is the 10m.
4 0
3 years ago
Read 2 more answers
2/5m−1/3 when m = 3?
maxonik [38]
Answer:
M=15
Explanation:
I’m guessing you meant to write
m/5+3(m-1)/2=2(m-3)
5 0
3 years ago
Read 2 more answers
The original price of water skis was $200. What is the percent of discount?
nikitadnepr [17]
You need to tell how many percent you will discount and then find the new price
3 0
3 years ago
Other questions:
  • What is the answer to 2+4(7)-2
    8·1 answer
  • What is the value of 7x-2x+3,when x=2
    15·2 answers
  • Time (in minutes)
    11·1 answer
  • Drake’s monthly outlay include a $70 phone bill and a $120 car assuming he makes $400 a month, how much does he have to spend af
    8·2 answers
  • The meridian girls basketball team scored a total of 80 points in a basketball game. Meridian made a total of 37 two point and t
    11·1 answer
  • What’s the slope of the line?
    15·1 answer
  • Select all that apply.<br><br> Which lines have a slope of -2?
    10·1 answer
  • Zari folds the net shown into model of a solid figure. How many edges, faces, and vertices does the model have?
    11·1 answer
  • Please help with this as well please
    15·1 answer
  • I need help with this
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!