Question

We wish to compare the weights of 36 count trays of kiwifruit from three growers A, B and C. The weight specifications for export trays, in order to gain a maximum return for the grower, are that the weight of a 36 count tray be: 3.4 kg ± 0.4 kg. Statistical Process Control (S.P.C.) analyses done by the packing house have indicated that the weights of packed kiwifruit were in statistical control when packed from these growers. Random samples of packed trays from these growers yielded the below table results. Which grower’s would you recommend for export? Explain your logic and show any calculations that you make to back up your recommendation. What assumption is required about the weights in order to make your calculations valid?

Grower Mean Kg Std Dev Kg

A 3.4 0.14

B 3.55 0.04

c 3.30 0.03

Answer 1

Which grower’s would you recommend for export?

Grower C is better because it is in control limits of S.P.C and standard deviation also low as compare to grower A and B

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