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
Vinvika [58]
3 years ago
10

One sample has a mean of and a second sample has a mean of . The two samples are combined into a single set of scores. What is t

he mean for the combined set if both of the original samples have scores
Mathematics
1 answer:
Murrr4er [49]3 years ago
7 0

Answer:

a) For this case we can use the definition of weighted average given by:

M = \frac{ \bar X_1 n_1 + \bar X_2 n_2}{n_1 +n_2}

And if we replace the values given we have:

M = \frac{8*4 + 16*4}{4+4}= 12

b) M = \frac{8*3 + 16*5}{3+5}= 13

c) M = \frac{8*5 + 16*3}{5+3}= 11

Step-by-step explanation:

Assuming the following question: "One sample has a mean of M=8 and a second sample has a mean of M=16 . The two samples are combined into a single set of scores.

a) What is the mean for the combined set if both of the original samples have n=4 scores "

For this case we can use the definition of weighted average given by:

M = \frac{ \bar X_1 n_1 + \bar X_2 n_2}{n_1 +n_2}

And if we replace the values given we have:

M = \frac{8*4 + 16*4}{4+4}= 12

b) what is the mean for the combined set if the first sample has n=3 and the second sample has n=5

Using the definition we have:

M = \frac{8*3 + 16*5}{3+5}= 13

c) what is the mean for the combined set if the first sample has n=5 and the second sample has n=3

Using the definition we have:

M = \frac{8*5 + 16*3}{5+3}= 11

You might be interested in
Divide. −4 1/3 ÷ −2 3/5 A. 1 2/3 B. 1 4/5 C. 2 1/5 D. 2 3/5
Inga [223]

a. 1 \frac{2}{3}

trust me it's the correct answer :)

7 0
3 years ago
In a survey of 600 students in a school. 150 student were found to be taking tea and 225 taking coffee, 100 were taking both tea
EastWind [94]

Answer:

125

Step-by-step explanation:

600=150+225+100+X=475+X

600-475=125=X

X=125

7 0
2 years ago
Read 2 more answers
3(3a+2)+6=30 what does a equal
Naya [18.7K]

Answer:

a=2

Step-by-step explanation:

3(3a+2)+6=30

9a+6+6=30

9a+12=30

9a=18

a=2

4 0
3 years ago
Read 2 more answers
Use a unit rate to find the unknown value.
Tanzania [10]
1. 40/8 = 45/9
2. 42/14 = 15/5
3. 14/2 = 56/8
4. 8/4 = 26/13
3 0
4 years ago
Please i need help i will mark you brill
Furkat [3]

Answer:

the answer to your question is

2n + 20

4 0
3 years ago
Read 2 more answers
Other questions:
  • Anne deposited $500 in an account that earns 6% simple annual interest. Shelly deposited $500 in an account that earns 6% annual
    5·1 answer
  • Cassandra ordered sandwich platters for a party. There were 6 different kinds of sandwiches with 5 of each kind on a platter. Ca
    8·1 answer
  • The key idea of the transformation called a reflection is
    15·2 answers
  • How are liquid assets different from other assets
    9·2 answers
  • Help me please!!!!! I need help quick
    5·1 answer
  • Can you please help me out with this question I really need it Thank Youu❤️
    14·2 answers
  • A farmer is building a new silo. The circular silo is 27 meters tall and has a radius of 14 meters. What is the area of the base
    12·1 answer
  • Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 2, and the given zeros. -
    15·1 answer
  • A loaded moving truck is traveling 25 mph faster than a freight train. In the time it takes the train to travel 90 miles, the tr
    5·1 answer
  • 4) Which linear inequality represents the solution set graphed?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!