Listed in the data table are amounts of strontium-90 (in millibecquerels, ormBq, per gram of calcium) in a simple random sample of baby teeth obtained from residents in two cities. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. City_#1 City_#2 100 117 86 61 121 100 119 85 101 89 104 107 213 110 116 111 290 142 100 133 283 101 145 209 The test statistic is The P-value is construct a confidence interval suitable for testing the claim that the mean amount of strontium-90 from city #1 residents is greater than the mean amount from city #2 residents. ____mBq<μ1−μ2<____mBq
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!
Listed in the data table are amounts of strontium-90 (in millibecquerels, ormBq, per gram of calcium) in a simple random sample of baby teeth obtained from residents in two cities. Assume that the two samples are independent simple random samples selected from
| City_#1 | City_#2 |
| 100 | 117 |
| 86 | 61 |
| 121 | 100 |
| 119 | 85 |
| 101 | 89 |
| 104 | 107 |
| 213 | 110 |
| 116 | 111 |
| 290 | 142 |
| 100 | 133 |
| 283 | 101 |
| 145 | 209 |
The test statistic is
The P-value is
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