Student survey. A business statistics class conducted a student survey in which 299 students were randomly selected and asked a variety of questions. One of the questions asked “How many friends do you have on Facebook?”

To find a confidence interval for the mean number, a student drew 1000 bootstrap samples of the data and obtained the following histogram and summary statistics:

Summary statistics of the means show:
0.5% 1% 2% 2.5% 5% 95% 97.5% 98% 99% 99.5%
698.301 702.498 707.779 709.967 718.279 785.623 792.099 793.411 797.358 800.702

a) Use the data above to construct a 98% confidence interval for the mean number of Facebook friends a student has.

b) Interpret the interval you constructed in part a.

c) What assumptions did you make, if any, in interpreting the interval?

Transcribed Image Text:

150 100 # of Samples 50 50 T 0 680 700 720 740 760 780 800 820 Mean Number of Friends