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A market researcher selects a simple random sample of nequals=100 users of a soc

ID: 2922320 • Letter: A

Question

A market researcher selects a simple random sample of nequals=100 users of a social media website from a population of over 100 million registered users. After analyzing the sample, she states that she has 95% confidence that the mean time spent on the site per day is between 15 and 57 minutes. Explain the meaning of this statement. Choose the correct answer below.

A. During any given day there is a 95% chance that the mean time all registered users spent on the site was between 15 and 57 minutes.

B. There is a 95% chance that a randomly selected registered user spends between 15 and 57 minutes on the site per day.

C. Of the over 100 million registered users, 95% of them spend between 15 and 57 minutes on the site per day.

D. One is 95% confident that the true mean time all registered users spend on the site per day is between 15 and 57 minutes.

Explanation / Answer

Given sample size n=100 from a population of 100 million registered users

Also, 95% confidence interval of mean time spent on the site per day is between 15 and 57 minutes

The meaning of the statement is, 95% confident that the population mean based on sample data lies between 15 and 57 minutes.

D) One is 95% confident that the true mean time all regstered users spend on the site per day is between 15 and 57 minutes.

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