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
vaieri [72.5K]
2 years ago
8

A sociologist will conduct a two-sample tt-test for a difference in means to investigate whether there is a significant differen

ce, on average, between the salaries of people with bachelorâs degrees and people with masterâs degrees. From a random sample of 32 people with a bachelorâs degree, the average salary was $55,000 with standard deviation $3,500. From a random sample of 28 people with a masterâs degree, the average salary was $58,000 with a standard deviation of $4,000. With a null hypothesis of no difference in the means, what is the test statistic for the appropriate test to investigate whether there is a difference in population means (masterâs degree minus bachelorâs degree)?
Mathematics
1 answer:
AnnZ [28]2 years ago
7 0

Answer:

1) H0: μ₁=μ₂ against the claim Ha: μ₁ ≠μ₂

2)The test statistic is

t= x1`-x2`/ Sp √ ( 1/n₁ + 1/n₂)

where

Sp=  s₁² ( n1-1) + s₂²(n2-1) /(n1-1) + (n2-1)

3) D.f= n1+n2-2= 32+28-2= 58

Step-by-step explanation:

The null hypothesis is that there is no  difference in population means (masterâs degree minus bachelorâs degree)

The claim is that there there is a difference in population means (masterâs degree minus bachelorâs degree)

1) H0: μ₁=μ₂ against the claim Ha: μ₁ ≠μ₂

2)The test statistic is

t= x1`-x2`/ Sp √ ( 1/n₁ + 1/n₂)

where

Sp=  s₁² ( n1-1) + s₂²(n2-1) /(n1-1) + (n2-1)

Putting the values

Sp= 12,250,000( 31)  + 16,000,000(27)/ 31+27

Sp=  379,750,000- 432,000,000/58

Sp= -52,250,000/58

Sp= -900,862.1

Now Putting the values in the t- test

t= x1`-x2`/ Sp √ ( 1/n₁ + 1/n₂)

t= 55,000- 58,000/ -900,862.1 √1/32+ 1/28)

t= -3000/ -233,120.21

t= 0.012868

3) D.f= n1+n2-2= 32+28-2= 58

for 2 tailed test the critical value of t is obtained by

t≥ t∝/2 ( d.f)=t≥ t0.025 (58)= ± 2.0017

4) Since the calculated value of t=  0.012868 does not fall in the critical region t≥ t∝/2 ( d.f)= ± 2.0017 we conclude that H0 is true and accept the null hypothesis.

You might be interested in
Look at the arrows in the drawings below. Indicate whether the arrows are parallel, perpendicular, or neither.
IceJOKER [234]

Answer:

In A and D the arrows are perpendicular, in B they are parallel and in C they are neither parallel nor perpendicular.

Step-by-step explanation:

3 0
3 years ago
Can you help me pls?
Verizon [17]

Answer:

Step-by-step explanation:

21

6 0
2 years ago
Suppose you inherited a house that was purchased in 1950 for 20,000. It is now 2015 and the value of the house has increased by
Masja [62]

Answer:

I think the house would now costs $85,000

Step-by-step explanation:

First, I multiplied by how many years between 1950 to 2015 and 5 to get 325.

Next, I divided 20,000 by 100 to get 200 to find 1% of 20,000.

Then, I multiplied 325 by 200 to get 65,000

Finally, I added 20,000 to 65,000 to get 85,000

So, I guess/answer is $85,000

If I was wrong, then just say, "Sorry, but that was incorrect."

5 0
2 years ago
Read 2 more answers
23 ones x 2 tens= answer
shutvik [7]
23 and 2 tens is 23 and 20 which equals 53

53
5 0
3 years ago
Please help me and show your working out thank youu
slava [35]

Answer:

Step-by-step explanation:

mm = 1357

m = 1.357

cm = 135.7

5 0
2 years ago
Other questions:
  • Given that Cos of theta= -0.866, where <img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%20%7D%7B2%7D" id="TexFormula1" title="\
    12·1 answer
  • the length of a rectangle is 13 centimeters less than its width. What are the dimensions of the rectangle if it’s area is 114 sq
    8·2 answers
  • Joe solved this linear system correctly.
    10·1 answer
  • Best gets brainly ,,,,,,,,,,,,,,,,,,,,
    6·1 answer
  • Imagine that the mean height for players in all Division I women's basketball programs is 69 inches with a standard deviation of
    9·1 answer
  • H(r)=−(r+9) 2 +36h, left parenthesis, r, right parenthesis, equals, minus, left parenthesis, r, plus, 9, right parenthesis, squa
    10·1 answer
  • What type of exponential function is f(x)=0.6(2.4)^x ?
    15·2 answers
  • Need help with this problem please! I believe it is b but I get a different answer everytime I redo it!
    8·1 answer
  • Evan takes 15.5 minutes to walk 1 mile.
    8·2 answers
  • Is 1/3 divided by 8 is it 1/24?
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!