Find the 95 percent confidence interval for population mean.

1. The sample mean is 50, the t-critical value is 1.96, and the standard error of the sample mean is 2.

What is the 95 percent confidence interval?
1.46 to 50
2.46.08 to 53.92
3.46.80 to 53.29
4.48 to 52

2. As the confidence level 1 - α increases, the width of the confidence interval.
i. increases
ii. Decreases
iii. Remains the same
iv. None of the above