A teacher predicts what the distribution of grades on the final exam will be and they are recorded in the table below. Grade Proportion A 0.25 B 0.30 C 0.35 D 0.10 The actual distribution for a class of 20 is in the table below. Grade Frequency A 7 B 7 C 5 D 1 State the null and alternative hypotheses. H0: The distribution of frequency for each grade is the same. Ha: The distribution of frequency for each grade is not the same. H0: The observed class grades do not fit the expected grades. Ha: The observed class grades fit the expected grades. H0: The observed class grades fit the expected grades. Ha: The observed class grades do not fit the expected grades. H0: The distribution of frequency for each grade is not the same. Ha: The distribution of frequency for each grade is the same.
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 teacher predicts what the distribution of grades on the final exam will be and they are recorded in the table below.
| Grade | Proportion |
|---|---|
| A | 0.25 |
| B | 0.30 |
| C | 0.35 |
| D | 0.10 |
The actual distribution for a class of 20 is in the table below.
| Grade | Frequency |
|---|---|
| A | 7 |
| B | 7 |
| C | 5 |
| D | 1 |
State the null and alternative hypotheses.
Ha: The distribution of frequency for each grade is not the same.
Ha: The observed class grades fit the expected grades.
Ha: The observed class grades do not fit the expected grades.
Ha: The distribution of frequency for each grade is the same.
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