Question

In what circumstances is the t statistic used instead of a z-score for a hypothesis test?

a-The t statistic is used when the sample size is n 30 or larger.
b-The t statistic is used when the population mean is unknown.
c-The t statistic is used when the population variance (or standard deviation) is unknown.
d-The t statistic is used if you are not sure that the population distribution is normal.

Answer 1

The t statistic is used in several circumstances for hypothesis testing when the sample size is less than 30, the population mean is unknown, the population variance (or standard deviation) is unknown, or when you are not sure that the population distribution is normal.

Step-by-step explanation:

The t statistic is used in several circumstances for hypothesis testing:

1. When the sample size is less than 30.
2. When the population mean is unknown.
3. When the population variance (or standard deviation) is unknown.
4. When you are not sure that the population distribution is normal.

If any of these conditions are met, the t statistic is used instead of a z-score for hypothesis testing.