In general, high school and college students are the most pathologically sleep-d
ID: 2906575 • Letter: I
Question
In general, high school and college students are the most pathologically sleep-deprived segment of the population. Their alertness during the day is on par with that of untreated narcoleptics and those with untreated sleep apnea. Not surprisingly, teens are also 71 percent more likely to drive drowsy and/or fall asleep at the wheel compared to other age groups. (Males under the age of twenty-six are particularly at risk.) The accompanying data set represents the number of hours 25 college students at a small college in the northeastern United States slept and is from a random sample. Enter this data into C1 of Minitab Express. 6 7 6 7 6 7 7 7 8 6 6 6 8 8 8 5 4 6 7 8 5 8 7 6 7 For the analyses that follow, we shall use 90%, 95%, and 99% as the confidence levels for the confidence interval. 5% as the level of significance (?) for the hypothesis test. 7 hours sleep as the null hypothesis (according to The Sleep Foundation).
Explanation / Answer
the p-value is the probability that the mean will be greater than the sample mean, In the given case sample mean is 6.64,
So p-value is the probability that mean is greater than 6.64, taking population mean as 7
The small p-value indicates fewer chances of mean greater than 6.64 and hence we reject the null hypothesis
While large P-value implies more chances of mean to be greater than 6.64, hence we fail to reject the null hypothesis.