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. a. Using the sample data, compute the best point estimate of the population mean for daily usage times for the ISP's customers. 318 minute(s) (Round to two decimal places as needed.) b. The managers of the ISP's marketing department would like to develop a % 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 approximately normal. Your answer is correct. The sample size is at least 30. The population distribution is uniformly distributed. The population distribution is exactly symmetrical. c. Construct and interpret the % confidence interval estimate for the mean daily usage time for the ISP's customers. The 99% confidence interval estimate is minute(s) - minute(s). (Round to two decimal places as needed. Use ascending order.) Interpret the confidence interval estimate. Select the correct answer below and fill in the answer box to complete your choice. (Round to two decimal places as needed. Use ascending order.) A. Based on the sample data, with 99% confidence, the ISP can conclude that the true population mean daily usage time is between nothing minute(s) and nothing minute(s). B. Based on the sample data, the ISP can conclude that 99% of daily usage times are between minute(s) and minute(s). C. Based on the sample data, with 99% confidence, the ISP can conclude that the sample mean daily usage time is between minute(s) and minute(s). Daily Usage Times 288 333 281 308 311 343 305 289 284 386 358 330
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.
a. Using the sample data, compute the best point estimate of the population
318 minute(s)
(Round to two decimal places as needed.)
b. The managers of the ISP's marketing department would like to develop a % confidence
The population distribution is approximately normal.
Your answer is correct.
The sample size is at least 30.
The population distribution is uniformly distributed.
The population distribution is exactly symmetrical.
c. Construct and interpret the % confidence interval estimate for the mean daily usage time for the ISP's customers.
The 99% confidence interval estimate is minute(s) - minute(s).
(Round to two decimal places as needed. Use ascending order.)
Interpret the confidence interval estimate. Select the correct answer below and fill in the answer box to complete your choice.
(Round to two decimal places as needed. Use ascending order.)
A.
Based on the sample data, with 99% confidence, the ISP can conclude that the true population mean daily usage time is between nothing minute(s) and nothing minute(s).
B.
Based on the sample data, the ISP can conclude that 99% of daily usage times are between minute(s) and minute(s).
C.
Based on the sample data, with 99% confidence, the ISP can conclude that the sample mean daily usage time is between minute(s) and minute(s).
| Daily Usage Times |
| 288 |
| 333 |
| 281 |
| 308 |
| 311 |
| 343 |
| 305 |
| 289 |
| 284 |
| 386 |
| 358 |
| 330 |
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