Maths4U Original · Short practice

For six independent matched pairs, after-minus-before differences are \(11,13,14,16,17,19\). Assume that population differences are normal. Test a positive mean difference.

Use a 5% significance level for a written conclusion. A distribution calculator may be used for numerical p-values.

Find the mean difference.

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Maths4U Original · Short practice

For six independent matched pairs, after-minus-before differences are \(11,15,17,21,23,27\). Assume that population differences are normal. Test a positive mean difference.

Use a 5% significance level for a written conclusion. A distribution calculator may be used for numerical p-values.

Find the mean difference.

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Maths4U Original · Short practice

For six independent matched pairs, after-minus-before differences are \(11,15,17,21,23,27\). Assume that population differences are normal. Test a positive mean difference.

Use a 5% significance level for a written conclusion. A distribution calculator may be used for numerical p-values.

Find the unbiased variance of the differences.

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Maths4U Original · Short practice

For six independent matched pairs, after-minus-before differences are \(11,17,20,26,29,35\). Assume that population differences are normal. Test a positive mean difference.

Use a 5% significance level for a written conclusion. A distribution calculator may be used for numerical p-values.

Find the unbiased variance of the differences.

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Maths4U Original · Short practice

For six independent matched pairs, after-minus-before differences are \(11,17,20,26,29,35\). Assume that population differences are normal. Test a positive mean difference.

Use a 5% significance level for a written conclusion. A distribution calculator may be used for numerical p-values.

Find the t statistic for null mean difference zero.

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Maths4U Original · Short practice

For six independent matched pairs, after-minus-before differences are \(14,16,17,19,20,22\). Assume that population differences are normal. Test a positive mean difference.

Use a 5% significance level for a written conclusion. A distribution calculator may be used for numerical p-values.

Find the t statistic for null mean difference zero.

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Maths4U Original · Short practice

For six independent matched pairs, after-minus-before differences are \(14,16,17,19,20,22\). Assume that population differences are normal. Test a positive mean difference.

Use a 5% significance level for a written conclusion. A distribution calculator may be used for numerical p-values.

Find the one-sided p-value.

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Maths4U Original · Short practice

For six independent matched pairs, after-minus-before differences are \(14,18,20,24,26,30\). Assume that population differences are normal. Test a positive mean difference.

Use a 5% significance level for a written conclusion. A distribution calculator may be used for numerical p-values.

Find the one-sided p-value.

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.