Fast forward five years and you now work at TikTok. Internal reports show your users spend an average of 26 minutes a day on the app (I made this up, and we are assuming TikTok is still around in 5 years). They also report a standard deviation of 12 minutes. Assume the population is also normally distributed.  What is the likelihood of selecting a single user at random that spends at least 30 minutes a day on the app?    If we randomly sample 25 users what is the standard error of the mean? (Otherwise known as the standard deviation of the sampling distribution of the sample mean)     What is the likelihood of selecting a random sample of 25 users with a mean of at least 30 minutes?    Is your answer in c) different than a)? Explain why or why not?

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Fast forward five years and you now work at TikTok. Internal reports show your users spend an average of 26 minutes a day on the app (I made this up, and we are assuming TikTok is still around in 5 years). They also report a standard deviation of 12 minutes. Assume the population is also normally distributed. 

  1. What is the likelihood of selecting a single user at random that spends at least 30 minutes a day on the app? 

 

  1. If we randomly sample 25 users what is the standard error of the mean? (Otherwise known as the standard deviation of the sampling distribution of the sample mean)  

 

  1. What is the likelihood of selecting a random sample of 25 users with a mean of at least 30 minutes? 

 

Is your answer in c) different than a)? Explain why or why not? 

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