blood pressure measurement consists of two numbers: the systolic pressure, which is the maximum pressure taken when the heart is contracting, and the diastolic pressure, which is the minimum pressure taken at the beginning of the heartbeat. Blood pressures were measured, in millimeters, for a sample of 6 adults. The following table presents the results. Systolic Diastolic 130 76 116 70 133 91 112 75 134 87 107 71 The least-squares regression line y=b0+b1x=4.4261+0.6058x and Σ(x-x bar) squared = 690.0000 are known for this data. Use the P-value method to test H0:β1=0 versus H1:β1>0. Can you conclude that systolic blood pressure is useful in predicting diastolic blood pressure? Use the α=0.05 level of significance and the TI-84 calculator. Compute the test statistic. Always round t-score values to three decimals places.
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!
A blood pressure measurement consists of two numbers: the systolic pressure, which is the maximum pressure taken when the heart is contracting, and the diastolic pressure, which is the minimum pressure taken at the beginning of the heartbeat. Blood pressures were measured, in millimeters, for a sample of 6 adults. The following table presents the results.
| Systolic | Diastolic |
|
130
|
76
|
|
116
|
70
|
|
133
|
91
|
|
112
|
75
|
|
134
|
87
|
|
107
|
71
|
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