1 Vanya collected five samples of air and measured the carbon dioxide content of each sample, in parts per million by volume (ppmv). The results were as follows.
$$\begin{array} { l l l l l }
387 & 375 & 382 & 379 & 381
\end{array}$$
- Assuming that these data form a random sample from a normal distribution with mean \(\mu\) ppmv, construct a \(90 \%\) confidence interval for \(\mu\).
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[6 marks] - Vanya repeated her sampling procedure on each of 30 days and, for each day's results, a \(90 \%\) confidence interval for \(\mu\) was constructed.
On how many of these 30 days would you expect \(\mu\) to lie outside that day's confidence interval?
[0pt]
[1 mark]