A researcher wanted to compare the pulse rates of identical twins to see whether there was any difference. Eight sets of twins were selected. The rates are given in the table as the number of beats per minute. At =α0.10, is there a significant difference in the average pulse rates of twins? Use the P-value method. Assume the variables are normally distributed. Let μA be the average of twin A and =μD−μAμB. Find the 90% confidence interval for the difference between the two. Round your answer to one decimal place. Twin A 93 92 91 93 88 78 84 90 Twin B 84 89 83 86 80 83 79 78
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!
Pulse Rates of Identical Twins A researcher wanted to compare the pulse rates of identical twins to see whether there was any difference. Eight sets of twins were selected. The rates are given in the table as the number of beats per minute. At =α0.10, is there a significant difference in the average pulse rates of twins? Use the P-value method. Assume the variables are
| Twin A |
93
|
92
|
91
|
93
|
88
|
78
|
84
|
90
|
|---|---|---|---|---|---|---|---|---|
| Twin B |
84
|
89
|
83
|
86
|
80
|
83
|
79
|
78
|
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