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In: Statistics and Probability

An internet service provider​ (ISP) has experienced rapid growth in the past five years. As part...

An internet service provider​ (ISP) has experienced rapid growth in the past five years. As part of its marketing​ strategy, the company promises fast connections and dependable service. To achieve its​ objectives, the company constantly evaluates the capacity of its servers. One component of its evaluating is an analysis of the average amount of time a customer is connected and actively using the Internet daily. A random sample of 12 customer records shows the following daily usage​ times, in minutes. Complete parts a through d below. 266 338 280 314 305 312 311 280 283 370 371 319 a. Using the sample​ data, compute the best point estimate of the population mean for daily usage times for the​ ISP's customers. 312.42 ​minute(s) ​(Round to two decimal places as​ needed.) b. The managers of the​ ISP's marketing department would like to develop a 99​% confidence interval estimate for the population mean daily customer usage time. Because the population standard deviation of daily customer usage time is unknown and the sample size is​ small, what assumption must the marketing managers make concerning the population of daily customer usage​ times? The population distribution is exactly symmetrical. The sample size is at least 30. The population distribution is approximately normal. Your answer is correct. The population distribution is uniformly distributed. c. Construct and interpret the 99​% confidence interval estimate for the mean daily usage time for the​ ISP's customers. The 99​% confidence interval estimate is nothing ​minute(snothing ​minute(s). ​(Round to two decimal places as needed. Use ascending​ order.)

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orchestra answered 2 years ago
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