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Use the following info for Questions 6-10. Classic Golf, Inc., manages five golf courses in Florida....

Use the following info for Questions 6-10.

Classic Golf, Inc., manages five golf courses in Florida. The director wishes to compare the rounds of golf played at the five courses, so he counted the rounds for a sample week. At the .05 significance level, is there an actual difference in the numbers of rounds playd at the five courses?

  • H0 : the #rounds played at the five courses is the same
  • H1: the #rounds played at the five courses is not the same

(Part of the data analysis is provided for you.)

Course     #Rounds played     (fe)     (fo - fe)     (fo - fe)2     (fo -fe)2/fe

Dogwood              124          104       20             400             3.846

Forsythia                74          104      -30             900             8.654

Starburst               104

Azalia                     98

Sunflower              120   

Golf Course Question #6: how was (fe) calculated?

A.

It's calculated from the #rounds played at Starburst.
B.

1040/10
C.

520/5
D.

20.8 x 5

QUESTION 7

  1. Golf Course Question #7: Calculate ∑( fo - fe) 2

    A.

    1590
    B.

    1592
    C.

    1594
    D.

    1596

QUESTION 8

  1. Golf Course Question #8: What is the critical value of Chi-Square?

    A.

    9.263
    B.

    9.488
    C.

    11.070
    D.

    15.211

Golf Course Question #9: What is the computed value of Chi-Square?

A.

15.308
B.

16.517
C.

17.342
D.

18.166

QUESTION 10

  1. Golf Course Question #10: What is your decision?

    A.

    #Rounds played is the same at all 5
    B.

    #Rounds played is not the same at all 5
    C.

    Cannot be determined

Solutions

Expert Solution

6)

total frequency=   520

expected frequncy,E = expected proportions*total frequency =520/5 = 104

answer: 520/5

7)

observed frequencey, fo expected proportion expected frequency,fe (fo-fe)^2 (fO-fE)²/fE
124 0.200 104.00 400.00 3.846
74 0.200 104.00 900.00 8.654
104 0.200 104.00 0.00 0.000
98 0.200 104.00 36.00 0.346
120 0.200 104.00 256.00 2.462

answer: Σ(fo-fe)^2 = 1592

8)

level of significance, α=   0.05              
Degree of freedom=k-1=   5   -   1   =   4
                  
  
Critical value =    9.488 [ Excel function: =chisq.inv.rt(α,df) ]          

9)

chi square test statistic,X² = Σ(fo-fe)²/fe =   15.308

10)

since, test stat> criitcal value, reject Ho

answer: B.

#Rounds played is not the same at all 5

milcah answered 1 year ago
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