Question

True or False

1. A 95% confidence interval of {-.5, 3.5} means that, on 95% of repeated experiments, the sample mean will be between -.5 and 3.5.

2. The probability of making a type-I error depends, in part, on power.

3. In general,

4. According to the central limit theorem, the sample mean, , is always normally distributed, even when population distribution of x is not normal

Answer 1

Solution:

A 95% confidence interval of {-.5, 3.5} means that, on 95% of repeated experiments, the sample mean will be between -.5 and 3.5.

FALSE

Correction: A 95% confidence interval of {-.5, 3.5} means that, on 95% of repeated experiments, the population mean will be between -.5 and 3.5.

The probability of making a type-I error depends, in part, on power.

FALSE

The probability of making a type-I error means the significance level .

The probability of making a type-II error means

Power = 1 -

According to the central limit theorem, the sample mean, , is always normally distributed, even when population distribution of x is not normal.

FALSE

When population distribution of x is not normal , necessary condition is that the sample size is large.