| Exam Board | SPS |
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| Module | SPS FM Statistics (SPS FM Statistics) |
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| Year | 2024 |
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| Session | January |
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| Topic | Linear combinations of normal random variables |
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| Type | Known variance confidence interval |
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1.
The continuous random variable \(X\) has the distribution \(\mathrm { N } ( \mu , 30 )\). The mean of a random sample of 8 observations of \(X\) is 53.1.
Determine a \(95 \%\) confidence interval for \(\mu\). You should give the end points of the interval correct to 4 significant figures.