Goodness of fit for discrete distributions: check 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
Independent count observations give
| Count class | 0 | 1 | 2 | 3 or more |
|---|---|---|---|---|
| Observed | 39 | 54 | 64 | 49 |
Use a 5% significance level for a written conclusion. A distribution calculator may be used for numerical p-values.
Find the fitted Poisson mean.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Goodness of fit for discrete distributions: review variant 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
Independent count observations give
| Count class | 0 | 1 | 2 | 3 or more |
|---|---|---|---|---|
| Observed | 40 | 55 | 65 | 50 |
Use a 5% significance level for a written conclusion. A distribution calculator may be used for numerical p-values.
Find the fitted Poisson mean.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Goodness of fit for discrete distributions: check 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
Independent count observations give
| Count class | 0 | 1 | 2 | 3 or more |
|---|---|---|---|---|
| Observed | 40 | 55 | 65 | 50 |
Use a 5% significance level for a written conclusion. A distribution calculator may be used for numerical p-values.
Find the expected frequency in the class 3 or more.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Goodness of fit for discrete distributions: review variant 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
Independent count observations give
| Count class | 0 | 1 | 2 | 3 or more |
|---|---|---|---|---|
| Observed | 41 | 56 | 66 | 51 |
Use a 5% significance level for a written conclusion. A distribution calculator may be used for numerical p-values.
Find the expected frequency in the class 3 or more.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Goodness of fit for discrete distributions: check 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
A null model assigns equal probabilities to four outcomes, with no fitted parameters. Observed counts are \(34,28,37,25\).
Use a 5% significance level for a written conclusion. A distribution calculator may be used for numerical p-values.
Find the p-value.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Goodness of fit for discrete distributions: review variant 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
A null model assigns equal probabilities to four outcomes, with no fitted parameters. Observed counts are \(36,28,40,24\).
Use a 5% significance level for a written conclusion. A distribution calculator may be used for numerical p-values.
Find the p-value.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Goodness of fit for discrete distributions: check 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
A null model assigns equal probabilities to four outcomes, with no fitted parameters. Observed counts are \(36,28,40,24\).
Use a 5% significance level for a written conclusion. A distribution calculator may be used for numerical p-values.
For a separate fit with \(\displaystyle k=5\) retained classes and one estimated parameter, find the degrees of freedom.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Goodness of fit for discrete distributions: review variant 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
A null model assigns equal probabilities to four outcomes, with no fitted parameters. Observed counts are \(38,28,43,23\).
Use a 5% significance level for a written conclusion. A distribution calculator may be used for numerical p-values.
For a separate fit with \(\displaystyle k=6\) retained classes and one estimated parameter, find the degrees of freedom.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.