Eco 578 exam ii | Economics homework help

nline Exam II

Part A: Multiple Choice (1–10)

____1. The cumulative presumption arrangement of a accidental changeable X gives the presumption that X is _______ to x_0, some spacified compute of X.
    Greater than or correspondent            c.   Less than or correspondent
    Equal                    d.   None of the aloft

_____2. The_______is the smallest correspondentize of discernment at which H_o can be exceptional.
    Value of α                    c.   p compute
    Probability of commiting of Type I mistake    d.  vale of 1 – α
    
_____3. What is the presumption of P(-1.4 < Z < 0.6)?
    0.9254                    c.   0.3427
    0.6449                    d.   0.9788

_____4. By using the binomial board, if the scantling dimension is 20 and p correspondents to 0.70, what is the
  compute for P(X=18)?
    0.0279                    c.    0.1820
    0.0375                    d.    0.1789

_____5. In a flag ordinary arrangement, what is the area which lies among Z = -1.72 and     
       Z = 2.53?
    0.8948                    c. 0.9516
    0.9123                    d. 0.8604
_____6. A accidental scantling of 60 items is enthralled pliant a scantling moderation of 25 and a scantling flag hiatus of 12.25. What is the compute for 95% trust intermission to affect the population moderation?
    23.3844≤μ≤24.8966            c.   28.3541≤μ≤29.1359
    24.1144≤μ≤25.8856            d.   25.8252≤μ≤26.5478

_____7. You accomplish a conjecture examination encircling a population moderation on the reason of the forthcoming instruction: the scantlingd population is ordinaryly nice, s = 100,  n = 25,  X ̅= 225, α  = 0.05,  Ha: µ > 220.  The precarious compute of the examination statistic is ______________ .
a.    2.0639                    b.    1.7081
c.    1.7109                    d.     1.96

_____8. You accomplish a conjecture examination encircling a population moderation on the reason of the forthcoming instruction: n = 50, X ̅= 100, α = 0.05, s = 30, Ha: µ < 110.  The computed compute of the examination statistic is _____________ .
a.    -2.3570                b.    -1.645
c.    2.3570                d.    4.24264

_____9. What is Z_0 score for P(Z≥Z_0) = 0.0708?
    1.47                    c.   1.80
    1.35                    d.   1.41

_____10. The accidental changeable x has a ordinary arrangement delay μ = 40 and σ^2 = 36. What is the compute of x if P(X≥X_0) = 0.40?
a.  47.86                    c. 49.85
b.  41.50                    d. 45.73

Part B: Penny or False (11-20)
_____11. A ordinary arrangement is a arrangement of discrete plea that produces a bell-shaped.
_____12. The moderation of the discrete presumption arrangement for a discrete accidental changeable is particularized its expected compute.
_____13. A accidental changeable is a changeable that can obtain?} opposed computes according to the consequence of an trial, and it can be either discrete or uniform.
_____14. The hostility is the expected compute of the squared destruction among the accidental changeable and its moderation.
_____15. If the precarious computes of the examination statistic z is ±1.96, they are the dividing points among the areas of exclusion and non-rejection.
_____16. For the simultaneousness discipline, the ordinary arrangement is uniform and the binomial is discrete.
_____17. The binomial presumption board gives presumption for compute of p elder than 0.5.
_____18. The H_o cannot be written delayout having an correspondent type.
_____19. For the ordinary arrangement, the observations closer to the average obtain happen delay increasing enumerate.
_____20. One impudence in examinationing a conjecture encircling a adjustment is that an consequence of an trial can be classified into two common categories, namely, a consummation or a need.

Part C: Tally the forthcoming interrogations (21-29)

    Explain the destructions among discrete accidental changeable and uniform accidental changeable.

 


    What are the characteristics of discrete presumption arrangement?

 

 

    When should the z-examination be used and when should t-examination be used?

 

 


    What is the object of conjecture examinationing?

 

    Can you establish the void? Why?

 

 

    What is Type I mistake?


    What is Type II mistake?
    Explain Sampling arrangement of the moderation

 


    Explain Central time theorem


Part D: Replenish in the unmitigated (30-40)

    The object of conjecture examinationing is to aid the supervisor or researcher in reaching a (an) __________________ about a (an) _______________ by examining the plea contained in a (an) _______________ from that ____________________.

    A conjecture may be defined barely as __________________________________________.

    There are two statistical hypotheses. They are the _________________ conjecture and the _________________ conjecture.

    The declaration of what the investigator is troublesome to terminate is usually placed in the _________________ conjecture.

    If the void conjecture is not exceptional, we terminate that the resource _________________.

    If the void conjecture is not exceptional, we terminate that the void conjecture _________________.

    The presumption of committing a Type I mistake is named by the species ____________, which is to-boot particularized the ___________________.

    Values of the examination statistic that severed the reply country from the exclusion are particularized _________________ computes.

    The forthcoming is a public declaration of a firmness administration: If, when the void conjecture is penny, the presumption of obtaining a compute of the examination statistic as_______________ as or over _____________ than that in-fact obtained is less than or correspondent to , the void conjecture is________________.  Otherwise, the void conjecture is ______________________ .

 
    The presumption of obtaining a compute of the examination statistic as farthest as or over farthest than that in-fact obtained, dedicated that the examinationed void conjecture is penny, is particularized ____________ for the ________________test.

    When one is examinationing H0: µ= µ0 on the reason of plea from a scantling of dimension n from a ordinaryly nice population delay a disclosed hostility of σ2, the examination statistic is ____________________________________________________.
Part E: Must illusion all your is-sue tread by tread in arrange to entertain the ample credit; Excel is not allowed. (41-53)

    Ten trials are conducted in a Bernoulli course in which the presumption of consummation in a dedicated order is 0.4. If x = the enumerate of consummationes, particularize the forthcoming.

 
a) E(x)      

 

 

    b) σ_x

c) P (x = 5)

 


    d) P (4 ≤ x ≤ 8)

e) P (x > 4)

 

 

    Work example enumerate 5 on page 6-14 (a-e).
a)         
    

    Work example enumerate 9 on page 6-28 (a-f).
a)

 

 


    b)
c)

 

 

    d)
e)

 

 

    f)

    Use example enumerate 4 on page 6-22 to replenish in the board and tally the forthcoming interrogations (a-c).
X    P[X=x]    (X)(P[X=x])    [X-E(X)]    [X-E(X)]2    [X-E(X)]2 P[X=x]
0                    
1                    
2                    
3                    
4                    
5                    
6                    
Total                    

a) Expected compute  
    

 

 


    b) Variance
c) Flag hiatus

 


    Work example enumerate 5 on page 7-23 (a-f).(**Please haul the graph)

    Show your is-sue    Please haul graph


    Work example enumerate 9 on page 7-47 (a-f). (** Please haul the graph)

 

    Find the forthcoming probabilities:(**Please haul the graph)
    Show your is-sue    Please haul graph
a.    P(-1.4 < Z < 0.6)                                     


b.    P(Z > -1.44)                                            
    

c.    P(Z < 2.03)                                              

    

d.    P(Z > 1.67)


e.    P(Z < 2.84)


f.    P(1.14 < Z < 2.43)

    

    Find the Z scores for the forthcoming ordinary arrangement examples.(** Please haul the graph)
    Show your is-sue    Please haul graph
a.    µ = 604, σ = 56.8, P(X ≤ 635)


b.    µ = 48, σ2 = 144, P(X < 20)

    

c.    µ = 111, σ = 33.8, P(100 ≤ X ≤ 150)
    

d.    µ = 264, σ2 = 118.81, P(250 < X < 255)
    
e.    µ = 37, σ = 4.35, P(X > 35)
    
f.    µ = 156, σ = 11.4, P(X ≥ 170)
    

 

    Work example on enumerate 11 (a - f) on page 7-47 (a-f). (** Please haul the graph)
    Show your is-sue    Please haul graph
a.        


Ho: µ ≥ 10
Ha: µ < 10
A scantling of 50 provides a scantling moderation of 9.46 and scantling diversity of 4.
    Use Z or T examination? And why?        At α = 0.05, what is the exclusion administration?
    Compute the compute of the examination statistic.

        What is the p-value?
    What is your misentry?

 

    Consider the forthcoming plea hauln from a ordinary arrangement population:

4    8    12    11    14    6    12    8    9    5
Construct 95% trust intermission using the aloft instruction and tally the forthcoming interrogations.

    What is scantling moderation        What is scantling flag hiatus
    Use Z or T examination? And why?        At At 95% trust intermission, what is the exclusion administration?

    Compute the compute of the examination statistic.


        What is α associated delay this interrogation?
    Interpret the trust intermission

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