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A study from 2014 found that adults in the US spend an average of 11 hours per day watching, reading, listening to or simply interacting with media. Researchers at UCLA suspect students spend less time engaging media. They grouped UCLA students by class section, randomly selected 20 class sections, and administered a survey to each student in those randomly selected class sections. The following data represents the mean time (in hours) per day spent engaging media for each of the randomly selected classes:9.511.56.07.589.510.511128.259.58.29.310.811138.69.510.5Does the sample appear to come from a population that is approximately normally distributed. Explain in detail by addressing each of the 3 Criteria for samples under size 30.

Question

A study from 2014 found that adults in the US spend an average of 11 hours per day watching, reading, listening to or simply interacting with media. Researchers at UCLA suspect students spend less time engaging media. They grouped UCLA students by class section, randomly selected 20 class sections, and administered a survey to each student in those randomly selected class sections. The following data represents the mean time (in hours) per day spent engaging media for each of the randomly selected classes:

9.5 11.5 6.0 7.5 8 9.5 10.5 11 12 8.2
5 9.5 8.2 9.3 10.8 11 13 8.6 9.5 10.5

Does the sample appear to come from a population that is approximately normally distributed. Explain in detail by addressing each of the 3 Criteria for samples under size 30. 

check_circleAnswer
Step 1

Criteria for checking normality:

  • Drawing histogram:

The histogram for the given data is given below:

fullscreen
Step 2

From the histogram it can be observed that the data is approximately bell-shaped curve, therefore the data is from approximately normal distribution.

Step 3
  • Boxplot:

The boxplot of the data is ...

fullscreen

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