6. (9 pts) Suppose the population mean cell phone data use in the U.S. is 1.75 GBytes per month. A random sample of 150 UW-Whitewater students has a sample mean of 1.48 GBytes per month, with a standard deviation of 1.35 GBytes.
a) What is the appropriate statistical test to determine whether UW-Whitewater students use a significantly different amount of cell phone data per month than the general population? (DO NOT COMPUTE the statistic, just name the test.)
b) A communications professor selects the correct test and has
SPSS compute the appropriate statistic. Its value is 2.45. Complete
the test by (1) stating the appropriate null hypothesis; (2)
supplying the correct degrees of freedom and associated p value;
(3) making a hypothesis rejection decision, and (4) interpreting
the test’s results. If you conclude that UW-Whitewater students do
use a significantly different amount of cell phone data per month
than the general population, provide an estimate of the mean cell
phone data usage for the population “UW-Whitewater
students”.
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