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Suppose a local pizzeria delivers pizzas every day of the week and their delivery times are normally distributed with a mean of 30 minutes with a standard deviation of 4 minutes. Determine the interval that contains the middle 80% of delivery times.

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jepessoa

Answer:

interval in minutes = (24.88, 35.12)

Step-by-step explanation:

we can use the following formula:

interval = population mean ± (z · σ)

  • population mean = 30 minutes
  • z for 80% = 1.28
  • σ = 4 minutes

interval = 30 minutes ± (1.28 · 4 minutes)

interval in minutes = (30 - 5.12), (30 + 5.12) = (24.88, 35.12)

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