Maths4U Original · Short practice

A fully specified continuous null CDF gives class probabilities \(\displaystyle \frac{1}{4}, \frac{1}{2}, \frac{1}{4}\) for three exhaustive intervals. In 300 observations, the interval counts are \(85,130,85\). No parameters were estimated.

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

Find the expected count in the middle interval.

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

A fully specified continuous null CDF gives class probabilities \(\displaystyle \frac{1}{4}, \frac{1}{2}, \frac{1}{4}\) for three exhaustive intervals. In 320 observations, the interval counts are \(91,138,91\). No parameters were estimated.

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

Find the expected count in the middle interval.

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

A fully specified continuous null CDF gives class probabilities \(\displaystyle \frac{1}{4}, \frac{1}{2}, \frac{1}{4}\) for three exhaustive intervals. In 320 observations, the interval counts are \(91,138,91\). No parameters were estimated.

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

Find the chi-squared statistic.

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

A fully specified continuous null CDF gives class probabilities \(\displaystyle \frac{1}{4}, \frac{1}{2}, \frac{1}{4}\) for three exhaustive intervals. In 340 observations, the interval counts are \(97,146,97\). No parameters were estimated.

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

Find the chi-squared statistic.

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

A fully specified continuous null CDF gives class probabilities \(\displaystyle \frac{1}{4}, \frac{1}{2}, \frac{1}{4}\) for three exhaustive intervals. In 340 observations, the interval counts are \(97,146,97\). No parameters were estimated.

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

Find the upper-tail 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

A fully specified continuous null CDF gives class probabilities \(\displaystyle \frac{1}{4}, \frac{1}{2}, \frac{1}{4}\) for three exhaustive intervals. In 360 observations, the interval counts are \(103,154,103\). No parameters were estimated.

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

Find the upper-tail 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

A fully specified continuous null CDF gives class probabilities \(\displaystyle \frac{1}{4}, \frac{1}{2}, \frac{1}{4}\) for three exhaustive intervals. In 360 observations, the interval counts are \(103,154,103\). No parameters were estimated.

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

If the sample size were doubled with the same null probabilities, find the expected count in the first interval.

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

A fully specified continuous null CDF gives class probabilities \(\displaystyle \frac{1}{4}, \frac{1}{2}, \frac{1}{4}\) for three exhaustive intervals. In 380 observations, the interval counts are \(109,162,109\). No parameters were estimated.

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

If the sample size were doubled with the same null probabilities, find the expected count in the first interval.

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