1. A researcher uses a particular Z score (Z) from the standard normal density function to create a 95% confidence interval. Which of the following statements is not true?

a. The area under the curve to the left of -Z is equal to 0.975

b. The area under the curve to the right of +Z is equal to 0.025

2. Which of the following is true?

a. The mean of the sampling distribution is always equal to the population mean

b. The standard deviation of the sampling distribution is always equal to the population standard deviation

c. The shape of the sampling distribution is always approximately normal

d. All of the above