Data on the number of deaths from the COVID-19 Pandemic are recorded in two different counties in Arizona, Pinal County and Mohave County. Does Pinal County have fewer deaths on average than Mohave County? The data below show the number of deaths on twelve randomly selected dates in Pinal County and on thirteen randomly selected dates in Mohave County. Pinal County: 10 14 10 14 6 4 14 9 10 14 11 4 Mohave County: 4 14 6 17 17 17 18 15 11 8 6 9 9 Assume the number of deaths in both counties follow a Normal distribution. What can be concluded at the αα = 0.01 level of significance level of significance? For this study, we should use Select an answer t-test for the difference between two dependent population means z-test for a population proportion t-test for the difference between two independent population means z-test for the difference between two population proportions t-test for a population mean The null and alternative hypotheses would be: H0:H0: Select an answer p1 μ1 Select an answer > < ≠ = Select an answer p2 μ2 H1:H1: Select an answer μ1 p1 Select an answer = ≠ > < Select an answer μ2 p2 The test statistic ? t z = (round your answer to 3 decimal places.) The p-value = (round your answer to 4 decimal places.) The p-value is ? > ≤ αα Based on this, we should Select an answer reject accept fail to reject the null hypothesis.
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!
Data on the number of deaths from the COVID-19 Pandemic are recorded in two different counties in Arizona, Pinal County and Mohave County. Does Pinal County have fewer deaths on average than Mohave County? The data below show the number of deaths on twelve randomly selected dates in Pinal County and on thirteen randomly selected dates in Mohave County.
Pinal County: 10 14 10 14 6 4 14 9 10 14 11 4
Mohave County: 4 14 6 17 17 17 18 15 11 8 6 9 9
Assume the number of deaths in both counties follow a
For this study, we should use Select an answer t-test for the difference between two dependent population means z-test for a population proportion t-test for the difference between two independent population means z-test for the difference between two population proportions t-test for a population
- The null and alternative hypotheses would be:
H0:H0: Select an answer p1 μ1 Select an answer > < ≠ = Select an answer p2 μ2
H1:H1: Select an answer μ1 p1 Select an answer = ≠ > < Select an answer μ2 p2
- The test statistic ? t z = (round your answer to 3 decimal places.)
- The p-value = (round your answer to 4 decimal places.)
- The p-value is ? > ≤ αα
- Based on this, we should Select an answer reject accept fail to reject the null hypothesis.
Given information:
Significance level
The number of deaths from the COVID-19 pandemic of Pinal County and Mohave County as follows:
| Pinal County | Mohave County |
| 10 | 4 |
| 14 | 14 |
| 10 | 6 |
| 14 | 17 |
| 6 | 17 |
| 4 | 17 |
| 14 | 18 |
| 9 | 15 |
| 10 | 11 |
| 14 | 8 |
| 11 | 6 |
| 4 | 9 |
| 9 |
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