Question

If we want to provide a 95
1) 0.485
2) 1.96
3) 1.645
4) 0.95

Answer 1

When constructing a two-sided 95 percent confidence interval, there will be 2.5 percent of probability in each tail of the distribution. The critical value for a two-sided 95 percent confidence interval is typically denoted by z and corresponds to a probability of 0.025 in each tail. For example, if the sample mean is 41 and the sample size is 30, the 95 percent confidence interval would be (0.81003, 0.87397).

Step-by-step explanation:

When constructing a two-sided 95 percent confidence interval, there will be 2.5 percent of probability in each tail of the distribution. This means that the remaining 95 percent of the probability will be within the interval.

In order to find the critical value for a two-sided 95 percent confidence interval, you can refer to a normal table or use a calculator. The critical value is typically denoted by z and corresponds to a probability of 0.025 in each tail.

For example, if the sample mean is 41 and the sample size is 30, the 95 percent confidence interval would be (0.81003, 0.87397). This means that we are 95 percent confident that the true population mean falls within this interval.