Question

Q2. A customer wants to know if hot sauce packs are randomly distributed. He collected packets over 5 visits to Taco Bell and then asks you to make the analysis. Here is his data:

Sauce	Number of packets
Diablo	8
Fire	9
Hot	7
Mild	9

Are they randomly distributed? Explain (write a short results section)

* I wondered if I'm suppose to do a chi-square but I don't know how to do that or if that could provide me the answer to this question*

Answer 1

observed frequencey, O	expected proportion	expected frequency,E			(O-E)²/E
8	0.250	8.25			0.008
9	0.250	8.25			0.068
7	0.250	8.25			0.189
9	0.250	8.25			0.068

chi square test statistic,X² = Σ(O-E)²/E =   0.333              
                  
level of significance, α=   0.05              
Degree of freedom=k-1=   4   -   1   =   3

Critical value =    7.8147   [ Excel function: =chisq.inv.rt(α,df) ]          

Decision: Critical value >Statistics value , Do not reject Ho                  
                  

yes they are randomly distributed
                  

THANKS

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