In order to determine
how many hours per week first-year university students spend on
social media sites, a random sample of 200 students was selected.
It was determined that the students in the sample spent an average
of 14 hours on social media sites per week. The population standard
deviation is estimated to be 3.2 hours.
A student claimed that first-year university students spend at
least 14.5 hours per week on average on social media sites. Using
the information above for the sample of 200 students:
Formulate the appropriate hypotheses to test this claim.
Compute the test statistic.
Using the critical value approach, test the hypotheses at the
3% level of significance. Interpret your findings.