86 total students were asked:
Do you feel sleep deprived? Mean # hours of sleep
Yes (51 students) 5.94
No (35 students) 7.06
Ho: mean = 7 hours of sleep, no feeling of sleep deprivation
Ha: mean = < 7 hours of sleep, feeling of sleep deprivation
Please explain each of the 5 hypothesis steps individually and in detail. (data set is attached)
1) Determine the null and alternative hypotheses. (done)
2) *** (this is where I'm stuck - by looking at the data above, is the difference of one population mean or two population means?) Verify necessary data conditions and if they are met, summarize the data into an appropriate test statistic.
3) Assuming that null hypothesis is true, find p-value
4) Decide whether or not the result is statistically significant based on the p-value (.05 level of significance)
5) Report the conclusion
The solution gives complete details of one sample student t test on sleep deprivation. Null hypothesis, alternative hypothesis, critical Value, test statistic and P value are given with interpretations.