Using the following table: 1. Determine a hypothesis to test the relationship between students enrolled 12 months or less and sleep of students, use descriptive statistics to describe the variables both numerically and graphically, identify the appropriate type of statistical test using alpha = 0.05, perform the statistical test (please show steps). ID Months enrolled Sleep 1 12 360 2 6 400 3 8 420 4 10 440 5 48 540 6 48 480 7 36 320 8 32 440 9 6 300 10 22 420 11 15 500 12 20 400 13 11 440 14 18 300 15 29 360 16 13 480 17 49 410 18 16 430 19 24 330 20 8 480
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
Using the following table:
1. Determine a hypothesis to test the relationship between students enrolled 12 months or less and sleep of students, use
| ID | Months enrolled | Sleep |
| 1 | 12 | 360 |
| 2 | 6 | 400 |
| 3 | 8 | 420 |
| 4 | 10 | 440 |
| 5 | 48 | 540 |
| 6 | 48 | 480 |
| 7 | 36 | 320 |
| 8 | 32 | 440 |
| 9 | 6 | 300 |
| 10 | 22 | 420 |
| 11 | 15 | 500 |
| 12 | 20 | 400 |
| 13 | 11 | 440 |
| 14 | 18 | 300 |
| 15 | 29 | 360 |
| 16 | 13 | 480 |
| 17 | 49 | 410 |
| 18 | 16 | 430 |
| 19 | 24 | 330 |
| 20 | 8 | 480 |
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