1 The lengths of the leaves of a particular type of tree are normally distributed with mean \(\mu \mathrm { cm }\). The lengths, \(x \mathrm {~cm}\), of a random sample of 12 leaves of this type are recorded. The results are summarised as follows.
$$\sum x = 91.2 \quad \sum x ^ { 2 } = 695.8$$
Find a 95\% confidence interval for \(\mu\).
1 The lengths of the leaves of a particular type of tree are normally distributed with mean $\mu \mathrm { cm }$. The lengths, $x \mathrm {~cm}$, of a random sample of 12 leaves of this type are recorded. The results are summarised as follows.
$$\sum x = 91.2 \quad \sum x ^ { 2 } = 695.8$$
Find a 95\% confidence interval for $\mu$.\\
\hfill \mbox{\textit{CAIE Further Paper 4 2023 Q1}}