Confidence interval for the population mean daily usage time

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Q1: A bank official finds that the lengths of time customers have to wait to be served by a teller are approximately normally distributed with a mean of 3 minutes and a standard deviation of 1 minute.

a) What is the probability that customer has to wait between 2 and 7/2 minutes?

b) What is the probability that customer has to wait 1 minute or less?

c) What is the probability that customer has to wait longer than 5 minutes?

Q2: XtraNet, an Internet service provider (ISP), has experienced rapid growth in the past five years. As a part of its marketing strategy, XtraNet promises fast connections and dependable service. To achieve its objectives, XtraNet constantly evaluates the capacity of its servers. One component of its evaluation is an analysis of the average amount of time a customer is connected and using the Internet daily. A random sample of 12 customer records shows the following daily usage times, in minutes:

268 336 296 311 306 335

301 278 290 393 373 329

a) Develop a 99% confidence interval estimate for the population mean daily customer usage time.

b) Construct a 95% confidence interval for the population mean daily usage time.

Reference no: EM132522273

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