Suppose, you randomly selected a customer. How likely is it that the customer will purchase i. brand A ii. brand B Provide 95% interval estimates for each of the above. Show the confidence intervals...

Suppose, you randomly selected a customer. How likely is it that the customer will purchase

i.    brand A

ii.    brand B

Provide 95% interval estimates for each of the above. Show the confidence intervals graphically and interpret your results.



Provide point and 95% confidence interval estimates for the weight of tuna cans, show it graphically and interpret your results.


Suppose brand A’s producer claimed that the average weight of their products is 100gm. Test the validity of this claim at 5% level of significance. Clearly show the teps involved in hypothesis testing.



 Suppose brand B’s producer claimed that less than 20% of their cans are under-filled. Test the validity of this claim at 5% level of significance. Clearly show the steps involved in hypothesis testing.

III.    Summary and discussion (15 marks):
Summarize your results and critically evaluate the survey method used in this assignment.
Some Examples:
o    Is the method of data collection consistent with random sampling? (overall data collection not the random sample that you have selected).
o    Should we be concerned about the fact that the data was collected at one location only (Northland Shopping centre) on multiple days?

o    Can this data be representative of all customers in Melbourne/Australia?

What should we do to reduce the concern you might have raised in your critical analysis


1.     Potential Demand for NT Tuna

A.    Complete the following table

B.    Using Excel, (i) construct a scatter plot of the discount offered on the new product (NT tuna) and the proportion of customers who said that they will buy the new product if they are offered the stated discount and (ii) fit a “least squares line” using Excel displaying its equation and the value of R-squared.


C.    Provide an interpretation of the output (Intercept, slope and R-squared). Is there any relationship between discount offered and potential demand for the NT tuna?  If so, explain the type of relationship.


D.    What discount should be offered to customers if the producer of the NT tuna product wants to capture 25% of the existing market?