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
Nataly_w [17]
3 years ago
9

The mean income per person in the United States is $50,000, and the distribution of incomes follows a normal distribution. A ran

dom sample of 10 residents of Wilmington, Delaware, had a mean of $60,000 with a standard deviation of $10,000. At the 0.05 level of significance, is that enough evidence to conclude that residents of Wilmington, Delaware, have more income than the national average
Mathematics
1 answer:
sergij07 [2.7K]3 years ago
4 0

Answer:

Yes. There is sufficient eveidence to support  the claim that Wilmington resident's earn more than the national average

Step-by-step explanation:

Given the following;

\alpha=Significance \ Level=0.05\\n=10\\\bar X=60000\\\ s=sample\  \sigma=10000

#We set our hypothesis as:

H_o:\mu\leq 50000\\H_a:\mu>50000

The rejection region of either hypothesis:

P(t>t_o)=0.05, we determine the critical values for this probability in the T distribution table;

t=1.833

=>We reject for all values greater than 1.833, t>1.833.

#We now determine the value of the test statistic as:

t=\frac{\bar X-\mu_o}{s/\sqrt{n}}\\\\=\frac{60000-50000}{10000/\sqrt{10}}\\\\=3.1623

We find that:

t=3.1623>1.833,\ \ \ Reject \ H_o

Hence, there is sufficient eveidence to support  the claim that Wilmington resident's earn more than the national average.

You might be interested in
What is the system of linear equations graphed below?
pochemuha

Answer:

It's:

y = -\frac{1}{2}x + 1

y = -2x - 4

Hope this helps!

6 0
3 years ago
Read 2 more answers
How do I do this!?! 2s+5 greater than or equal to 49
aev [14]
<span>2s+5>= 49
Subtract 5 from both sides
2s>=44
Divide 2 on both sides
Final Answer: s>=22</span>
3 0
3 years ago
Last summers, students who worked earned an average of $80 a week with a standard deviation of $12. What percentage of students
Roman55 [17]

Answer:

  • 2.28%

Step-by-step explanation:

<u>Given:</u>

  • μ = 80
  • σ = 12
  • x = 104

<u>Find z-score:</u>

  • z = (x - μ)/σ
  • z = (104 - 80)/12 = 2

Percent value corresponding to 2 as per z-table is 0.9772. This is corresponding to 97.72%.

<u>Percentage of students earned more than $104:</u>

  • 100 - 97.72 = 2.28
5 0
3 years ago
Which expression is NOT an expression equivalent to (32) (2) (33)? Select all that apply.
max2010maxim [7]
I think is OB, I’m not too sure tho
7 0
3 years ago
What is the simplified form of x+2/x^2-3x-10 * x-3/x^2+x-12
Vinvika [58]
I mean based on your possible answers, the third one is correct,but you can go further that that, in the steps i will note when you've came to the "answer"

\frac{x + 2}{  {x}^{2}  - 3x - 10  }  \times  \frac{x - 3}{ {x}^{2} + x - 12 }
\frac{x + 2}{ {x}^{2} + 2x - 5x - 10 }  \times  \frac{x - 3}{ {x}^{2} + 4x - 3x - 12 }
\frac{x + 2}{x(x + 2) - 5(x + 2)}  \times  \frac{x - 3}{x(x + 4) - 3(x + 4)}
\frac{x + 2}{(x + 2) \times (x - 5)}  \times  \frac{x - 3}{(x + 4) \times (x  - 3)}
\frac{1}{(x + 4) \times (x + 5)}
and basically that's the "answer", but you can simplify more.

\frac{1}{ {x}^{2}  + 4x - 5x - 20}
\frac{1}{ {x}^{2} - x - 20 }
Hope that's helpful
3 0
3 years ago
Other questions:
  • To pay for a sofa, Maddie made a payment of 64 dollars each month for one year. How much did the sofa cost ?
    15·2 answers
  • Write these numbers in order 3.01 13.0 0.31 1.30 3.1
    7·2 answers
  • Can some explain how you got you answer? it's number 2
    6·1 answer
  • Simplify. Round your answer to three decimal places.<br><br> 1<br> 2<br> ·<br> 2<br> 3<br> + 0.345
    8·1 answer
  • What is the 6th term of the arithmetic sequence -4,0,4,8,..?
    7·2 answers
  • Use the general solution to solve 5 – 6x = 8х + 17.
    5·1 answer
  • How do you find the circumcenter of a triangle?​
    10·1 answer
  • There are 10 girls for every 12 boys. If there are 50 girls,
    11·2 answers
  • Could use help on this please. No wrong answers! I NEED to get an A on this otherwise I'll have to literally repeat the year.
    10·1 answer
  • If you eat four medium strawberries you get 48% of your daily recommended amount of vitamin C.what fraction of your daily amount
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!