9231 P42 - Nov 2024 - Q1 - 4 marks
6845
A scientist is investigating the lengths of the leaves of a certain type of plant. The scientist assumes that the lengths of the leaves of this type of plant are normally distributed. He measures the lengths, \(x \mathrm{~cm}\), of the leaves of a random sample of 8 plants of this type. His results are as follows.
| 3.5 | 4.2 | 3.8 | 5.2 | 2.9 | 3.7 | 4.1 | 3.2 |
Find a \(90 \%\) confidence interval for the population mean length of leaves of this type of plant.
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