7.35 Average number of Instagram posts. LocoWise provides social media analytics to companies and marketing agencies through a variety of online tools. One tool is the Instagram Analyzer, which allows a user to compare a profile with 2500 other Instagram profiles. Recently, it reported that the 2500 profiles it monitors averaged 2.55 posts per day, with a minimum value of 0 posts and a maximum value of 95 posts.16

  1. (a) A common estimator of the standard deviation when provided the range R is . Compute this estimate of s for these data.

  2. (b) Construct the 95% confidence interval for the average number of Instagram posts per day.

  3. (c) These data are clearly skewed and possibly have a few outliers. Do you think it is appropriate to use the t procedures? Explain your answer.