Question

Indicate whether the following statement is true or false.

1. When estimating a confidence interval for the difference between the means of two independent populations, the pooled variance is the average of two sample variances, if the two sample sizes are equal.

2. Both the t-distribution and standard normal distribution have the same mean, but the t-distribution has a smaller standard deviation than the standard normal distribution.

3. The standard deviation of the distribution of   (i.e. standard error of the mean) increases as the sample size increases.

4.In simple linear regression analysis, the problem that arises when the spread of the error term increases as the independent variable increases is called extrapolation

Answer 1

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