You need to make a comparison between means: i.e. if mu1 is mean for depressed and mu2 is mean for not depressed then mu1 < mu2 or mu1 - mu2 < 0.
Anyone able to possibly help with this question?
Research Question: Do adults who are depressed have fewer hours sleep, on average,
than adults who are not depressed?
A local sleep laboratory assessed the length of sleep in hours in a random sample of
ten adult patients suffering from depression (shown below).
8.2 5.5 6.0 6.7 6.5
6.8 7.2 6.1 7.5 7.0
Descriptive Statistics: sleep
Variable N Mean SE Mean StDev Minimum Median Maximum
sleep 10 6.750 0.248 0.785 5.500 6.750 8.200
a) Use the data and summary statistics above to test the hypothesis that depressed
adults have fewer hours sleep, on average, than adults who are not depressed.
Is the null hypothesis then just the opposite of the alternate, so
H0: μ =to or greater than 8
Ha: μ < 8
Any help or a general push in the right direction would really help