In every ESST 3002 lecture, each student spends an average of 10 minutes on social media instead of listening to the lecture. Assume that the time spent on social by a student is normally distributed with a variance of 4 minutes. The lecture presentation software can detect when a student is on social media websites. The lecturer reviews data from one of his lectures, selects a sample of 10 students at random and measures the time each student spends on social media during the lecture. The sample mean time is found. a) What is the sampling distribution of the sample mean time? (Is it F or Binomial or Poisson or Normal etc). b) What is the mean and standard deviation of the sampling distribution identified in part (a)? c) If the sample mean time spent by these 10 students on social media is less than 7 minutes, the lecturer will award a grade A to every student in the class. Find the probability that every student in the class awarded a grade of A.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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In every ESST 3002 lecture, each student spends an average of 10 minutes on social media instead of listening to the
lecture. Assume that the time spent on social by a student is normally distributed with a variance of 4 minutes.
The lecture presentation software can detect when a student is on social media websites. The lecturer reviews data from
one of his lectures, selects a sample of 10 students at random and measures the time each student spends on social media
during the lecture. The sample mean time is found.
a) What is the sampling distribution of the sample mean time? (Is it F or Binomial or Poisson or Normal etc).
b) What is the mean and standard deviation of the sampling distribution identified in part (a)?
c) If the sample mean time spent by these 10 students on social media is less than 7 minutes, the lecturer will award a
grade A to every student in the class.
Find the probability that every student in the class is awarded a grade of A.
Transcribed Image Text:In every ESST 3002 lecture, each student spends an average of 10 minutes on social media instead of listening to the lecture. Assume that the time spent on social by a student is normally distributed with a variance of 4 minutes. The lecture presentation software can detect when a student is on social media websites. The lecturer reviews data from one of his lectures, selects a sample of 10 students at random and measures the time each student spends on social media during the lecture. The sample mean time is found. a) What is the sampling distribution of the sample mean time? (Is it F or Binomial or Poisson or Normal etc). b) What is the mean and standard deviation of the sampling distribution identified in part (a)? c) If the sample mean time spent by these 10 students on social media is less than 7 minutes, the lecturer will award a grade A to every student in the class. Find the probability that every student in the class is awarded a grade of A.
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