(a)[1]
State what is meant by a Type I error in this context.
(b)[5]
The mean time for a sample of $20$ customers is $45.6$ minutes. At the $2.5\%$ significance level, test whether the value of $\mu$ has changed.
Mathematics 9709 · AS & A Level · Hypothesis testing
Hypothesis testing — practice question
At a certain gym, the amount of time customers spend there, measured in minutes, is distributed as $N(\mu, 38.2)$. Previously, the value of $\mu$ was $42.4$. After some new equipment has been fitted, the management wants to check whether $\mu$ is now different.
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Inference that the population mean time has altered (in context)” …
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