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BUS1BAN Business Analytics

Published : 09-Sep,2021  |  Views : 10

Question:

Provide a brief introduction to what this assignment is about and how your sample was selected What proportion of each brand of cans is under-filled Recall “under-filling” means the can is under-filled by 2 or more than 2 grams (i.e. the can contains 2 or more than 2 grams less than what is specified on the label).

  1. Use an appropriate chart to graphically display the above table.Is the under-filling behaviour of brand A’s producer any different from that of brand B’s producer.
  1. 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.
  2. What discount should be offered to customers if the producer of the NT tuna product wants to capture 25% of the existing market
  3. Provide point and 95% confidence interval estimates for the weight of tuna cans, show it graphically and interpret your results.
  4. 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.
  5. 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.

Answer:

Company weight underweight if <=98 Discount: Will you purchase the NT tuna if it was available in the market at (Yes =1, or No=0)
Company weight under weight (Yes=1, No=0) 0% disc 5% disc 10% disc 15% disc 20% disc 25% disc
A 102.1 0 0 1 1 1 1 1
A 97.2 1 0 0 0 0 0 0
A 95 1 0 0 0 0 0 0
A 102.6 0 0 1 1 1 1 1
A 103.9 0 0 0 0 0 0 1
A 97.6 1 0 0 0 0 0 1
A 110.6 0 0 1 1 1 1 1
A 96.7 1 0 0 0 0 0 0
A 107.6 0 0 0 0 0 0 0
A 99.9 0 0 1 1 1 1 1
A 103.7 0 0 0 0 0 0 0
A 100.2 0 0 0 0 0 0 0
A 100 0 0 0 1 1 1 1
A 96.8 1 0 0 1 1 1 1
A 108.5 0 0 0 0 0 0 0
A 103.2 0 0 1 1 1 1 1
A 98.3 0 0 0 0 0 0 0
A 102.4 0 0 0 0 0 0 0
A 90.9 1 0 0 0 1 1 1
A 98.9 0 0 1 1 1 1 1
A 100.6 0 0 0 0 0 0 0
A 101 0 0 0 0 0 0 0
A 107.8 0 0 0 0 0 0 0
A 99 0 0 0 1 1 1 1
A 100 0 0 0 0 0 0 0
A 102.9 0 0 0 0 0 0 0
A 97.2 1 0 0 0 0 0 0
A 105.4 0 0 0 0 0 0 0
A 100.1 0 0 0 0 1 1 1
A 100.4 0 0 0 0 0 0 0
A 97.3 1 0 0 0 0 0 1
A 103.5 0 0 0 0 0 0 0
A 94.3 1 0 0 0 0 1 1
A 100 0 0 0 0 0 0 0
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