# Question: The exponential probability distribution can be used to model waiting

The exponential probability distribution can be used to model waiting time in line or the lifetime of electronic components. Its density function is skewed right. Suppose the wait-time in a line can be modeled by the exponential distribution with µ = σ = 5 minutes.

(a) Use StatCrunch, MINITAB, or some other statistical software to generate 100 random samples of size n = 4 from this population.

(b) Construct 95% t-intervals for each of the 100 samples found in part (a).

(c) How many of the intervals do you expect to include the population mean? How many of the intervals actually contain the population mean? Explain what your results mean.

(d) Repeat parts (a)–(c) for samples of size n = 15 and n = 25. Explain what your results mean.

(a) Use StatCrunch, MINITAB, or some other statistical software to generate 100 random samples of size n = 4 from this population.

(b) Construct 95% t-intervals for each of the 100 samples found in part (a).

(c) How many of the intervals do you expect to include the population mean? How many of the intervals actually contain the population mean? Explain what your results mean.

(d) Repeat parts (a)–(c) for samples of size n = 15 and n = 25. Explain what your results mean.

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