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
Paha777 [63]
3 years ago
8

Two​ shooters, Rodney and​ Philip, practice at a shooting range. They fire rounds each at separate targets. The targets are mark

ed with circles and each bullet hitting a particular circle gets them a particular number of points. rounds are selected at random. The sample mean scores of Rodney and Philip are and ​, respectively.​ And, their variances are and ​, respectively. The standard error of the difference between their mean scores is . 13. ​(Round your answer to two decimal places​.) The​ 95% confidence interval for the difference between the mean scores of Rodney and Philip​ is
Mathematics
1 answer:
Sedaia [141]3 years ago
5 0

Complete Question

Answer:

a

  SE  = 0.66}

b

-3.29 <  \mu_1 - \mu_2 <  -0.70  

Step-by-step explanation:

From the question we are told that

  The sample size is  n  = 60

   The first sample mean is  \= x _1  =  8

    The second sample mean is   \= x _2  =  10

    The first variance is  v_1 =  0.25

    The first variance is  v_2 =  0.55

Given that  the confidence level is 95% then the level of significance is 5% =  0.05

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  1.96

Generally the first standard deviation is  

     \sigma_1 =  \sqrt{v_1}

=>   \sigma_1 =  \sqrt{0.25}

=>   \sigma_1 =  0.5

Generally the second standard deviation is

     \sigma_2 =  \sqrt{v_2}

=>   \sigma_2 =  \sqrt{0.55}

=>   \sigma_2 =  0.742    

Generally the first standard error is

     SE_1  =  \frac{\sigma_1}{\sqrt{n} }

      SE_1  =  \frac{0.5}{\sqrt{60} }

     SE_1  =  0.06

Generally the second standard error is

     SE_2  =  \frac{\sigma_2}{\sqrt{n} }

      SE_2  =  \frac{0.742}{\sqrt{60} }

     SE_2  =  0.09

Generally the standard error of the difference between their mean scores is mathematically represented as    

      SE  =  \sqrt{SE_1^2 + SE_2^2 }

=>     SE  =  \sqrt{0.06^2 +0.09^2 }

=>     SE  = 0.66}

Generally 95% confidence interval is mathematically represented as  

      (\= x_1 -\= x_2) -(Z_{\frac{\alpha }{2} } *  SE) <  \mu_1 - \mu_2 <  (\= x_1 -\= x_2) +(Z_{\frac{\alpha }{2} } *  SE)

=> (8 -10) -(1.96 *  0.66) <  \mu_1 - \mu_2 <  (8-10) +(Z_{\frac{\alpha }{2} } *  0.66)  

=>  -3.29 <  \mu_1 - \mu_2 <  -0.70  

 

You might be interested in
The table represents a linear function.
Alona [7]

Answer: -6

See attached picture

6 0
3 years ago
What are the zeros of f(x)=x(x-8)
Flura [38]

Answer:

The zeros are x=0,x=8

Step-by-step explanation:

f(x)=x(x-8)

To find the zeros, we set the equation equal to zero

0 = x(x-8)

Using the zero product property

x= 0  x-8=0

x=0  x=8

The zeros are 0,8

8 0
3 years ago
Read 2 more answers
I need help!! <br><br> 6r^(2)-3r-27=-9
Harrizon [31]

Answer:

Step-by-step explanation:

Solution

= -3/2

= 2

3 0
3 years ago
What do the following two equations represent?
alexira [117]
If you go on jiskha because you will find your answer by looking through search bar but the answe is B
4 0
3 years ago
Read 2 more answers
Given the following two statements, what conclusion can be made? Three noncollinear points determine a plane. Points S, O, N are
laila [671]
Actually, this has little to do with mathematics and geometry but has to do more with logical reasoning. You have two clauses to get a conclusion from. The reasoning is as follows:

Clause 1: <span>Three noncollinear points determine a plane
Clause 2: </span><span>Points S, O, N are noncollinear
</span>Conclusion: Therefore, points S, O and N form a plane.
7 0
3 years ago
Read 2 more answers
Other questions:
  • Which statements are true? Select three options. Line A B and Line C G are parallel. Line A B and Line R S are parallel. Line C
    11·1 answer
  • Solve the system of equations using the Addition method. 2a + 3b = -1 3a + 5b = -2
    6·1 answer
  • (7-4n) x 6= I need the answer as quick as possible
    10·2 answers
  • Which estimate is most reasonable?
    9·2 answers
  • How do I solve this word problem?
    9·1 answer
  • Tell whether -3 is a solution of the inequality <br>3-4r &gt;_ 15<br>​
    9·1 answer
  • Can anyone help me with this math equation?
    11·1 answer
  • Joel is buying packs of baseball cards to add to his collection. He wants to
    9·1 answer
  • 1.
    11·1 answer
  • Three students rotate the given figure around the origin.
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!