Question

Facebook provides a variety of statistics on its website that detailed the growth in popularity of the site. one such statistic is that the average user has 130 friends. consider the following data the number of friends in the SRS of 30 Facebook users from a large University.

99 148 158 126 118 112 103 111 154 85 120

127 137 74 85 104 106 72 119 160 83 110

97 193 96 152 105 119 171 128

a. do you think these data come from a normal distribution? use a graphical summary to help make your explanation

b. explain why it is or is not appropriate to use the procedures to compute a 95% confidence interval for the true mean number of friends for Facebook users at this large University.

c. find the 95% confidence interval for the true mean number of friends for Facebook users at this large University.

Answer 1

ANSWER::

Both the Shapiro-Wilk test and the Anderson-Darling test fail to reject the null hypothesis that the data is from a normal distribution. Also, the qqplot and histogram are also showing that data is fairly normal. We can assume that the sample comes from normally distributed data.

b)

A one-sample t-procedure is used to calculate the 95% confidence interval of the mean. This assumes that the
observations are continuous and normal, also that we don't have the population standard deviation.

c)

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