Question

Please ANSWER THE WHOLE QUESTION!

Finding Your Percentile

One way in which this can be done is by calculating z-scores and identifying percentiles. Consider the following example: Data on social media use was collected from a sample of college students. The average daily amount of social media use by this group was found to be 4 hours, with a standard deviation of 1 hour. Consider your daily social media use, and then develop the main response in which you address the following:

Identify approximately how many hours you used social media today.

Use the sample mean (4 hours) and standard deviation (1 hour) provided to calculate a z-score for your own daily social media use.

Use the normal distribution table in your textbook to determine the percentile for your z-score.

Explain what this means, and what it implies about your social media use in comparison to the sample.

Answer 1

Identify approximately how many hours you used social media today.

I spent 6 hrs

Use the sample mean (4 hours) and standard deviation (1 hour) provided to calculate a z-score for your own daily social media use

Z score=x-mean/sd

=6-4/1

=2/1

=2

Z score=2

Use the normal distribution table in your textbook to determine the percentile for your z-score.

For Z=2 probability is 0.9772

percentile =0.9772^100=97.72%

Explain what this means, and what it implies about your social media use in comparison to the sample.

97.72 % OF STUDENTS SPENT 6 HRS OR BELOW ON  social media AND 2.28% OF STUDENTS SPENT ABOVE 6 HRS ON SOCIAL MEDIA