Facebook: A study by the Web metrics firm Hitwise showed that in August 2008, the mean time spent per visit to Facebook was 19.5 minutes. Assume the standard deviation is σ= 8 minutes. Suppose that a simple random sample of 100 visits in August 2009 has a sample mean of ¯x = 21.5 minutes. A social scientist is interested in knowing whether the meantime of Facebook visits has increased.
a. State the appropriate null and alternate hypotheses.
b. Compute the value of the test statistic.
c. State a conclusion. Use the α= 0.05 level of significance.
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