2 Rodney and Derrick, two independent fruit and vegetable market stallholders, sell punnets of locally-grown raspberries from their stalls during June and July.
The following information, based on independent random samples, was collected as part of an investigation by Trading Standards Officers.
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\multicolumn{2}{c|}{} | Weight of raspberries in a punnet (grams) | |
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\multicolumn{2}{c|}{} | Sample size | Sample mean | Sample standard deviation, \(\boldsymbol { s }\) |
| \multirow{2}{*}{Stallholder} | Rodney | 50 | 225 | 5 |
| \cline { 2 - 5 } | Derrick | 75 | 219 | 8 |
- Construct a \(99 \%\) confidence interval for the difference between the mean weight of raspberries in a punnet sold by Rodney and the mean weight of raspberries in a punnet sold by Derrick.
- What can be concluded from your confidence interval?
- In addition to weight, state one other factor that may influence whether customers buy raspberries from Rodney or from Derrick.
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