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?

From the provided information, Mean (µ) = 26 minutes Standard deviation (σ) = 12 minutes Let X be a…

Answered: Fast forward five years and you now…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 13PPS

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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.

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?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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