Suppose you observe a sample data set consisting of n=64 inter-arrival times X1,…,X64 for the subway, measured in minutes. As before, we assume the statistical model that X1,…,X64∼iidexp(λ) for some unknown parameter λ>0. In this data set, you observe that the sample mean is 164∑64i=1Xi=7.8.
Additional Instructions: For best results, please adhere to the following guidelines and reminders:
For the upcoming calculations, please truncate qα/2 at 2 decimal places, instead of a more exact value. For example, if qα/2=3.84941, use 3.84 instead of 3.85 or 3.849.
Input answers truncated at 4 decimal places. For example, if your calculations yield 11.327458, use 11.3274 instead of 11.3275 or 11.32745.
You will be computing CIs at asymptotic level 90%.
Using the ‘solve method' (refer to the slide ‘Three solutions'), construct a confidence interval Isolve with asymptotic level 90% for the unknown parameter λ.
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unanswered ,
unanswered ]
Using the ‘plug-in method' Iplug−in (refer to the slide ‘Three solutions'), construct a confidence interval with asymptotic level 90% for the unknown parameter λ.
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unanswered ,
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Which interval is narrower?
Isolve
Iplug−in
unanswered
Which of these confidence intervals is centered about the sample estimate, λ^n?
Isolve
Iplug−in
Both
Neither
2 answers
I plugin