The Nll Hypothesis (Null H0) On Ten Patients

Decent Essays
The dataset, “sleep”, is exploring the effect of two soporific drugs (increase in hours of sleep of compared to control) on ten patients. The first column, “extra”, shows the number of extra sleeping hours that participants get after taking soporific drug(s). The second “group” column indicates which group the participants are in, and the third column, “ID”, tells us the unique experimental identification number of each participant. The experimental data of Group 1 reflects the effect of the first soporific drug. I will call it as Drug_1 here. Then, I am going to name their second soporific drug as Drug_2 in my term paper.

Some of my friends usually complain to me that they can’t sleep well (i.e. easily, constantly wake up) during night, which really makes a bad effect on their daytime lives. Especially, if they need to take tests, do presentation, or attend interviews, the quality of sleeping will become more important. Their complaints drive my
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The Alternative Hypothesis (H1): People who take the Drug_2 sleep equal or more than taking the first soporific drug.

Descriptive Statistics
1. Histogram
A histogram is one typical visualization representation of the distribution of numerical data, which offers a good estimate of the probability distribution of a quantitative variable. If the bins are of equal size, a rectangle erected over the bin with height will be proportional to the frequency that indicates the number of cases in each bin. However, generally, the bins don't need to be same as each other.

In terms of two histograms below, we can clearly see that both the maximum and minimum extra sleeping hours after taking the Drug_2 is larger than the Drug_1’s. Moreover, the positive distribution of taking the Drug_2 is much more than the

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