Please state whether the statement is true or wrong and state briefly why:

1. A fastener manufacturing company uses a chi-square goodness of fit test to determine if a population of all lengths of ¼ inch bolts it manufactures is distributed according to a normal distribution. If we reject the null hypothesis, it is reasonable to assume that the population distribution is at least approximately normally distributed.

2. In testing the difference between two means from two independent populations, the sample sizes do not have to be equal to be able to use the Z statistic

3. The least squares simple linear regression line minimizes the sum squares of the vertical deviations between the line and the data points.