The duration of a voice telephone call is an exponential, Basic Statistics

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The duration of a voice telephone call is an exponential

The duration of a voice telephone call is an exponential random variable T with expected value E[T] = 3 minutes. Data calls tend to be longer than voice calls on average. Observe a call and reject the null hypothesis that the call is a voice call if the duration of the call is greater than t₀ minutes.

(a) Write a formula for α, the significance of the test as a function of t0.

(b) What is the value of t₀ that produces a signifi- cance level α = 0.05?

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Basic Statistics: The duration of a voice telephone call is an exponential

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