a. Write the 95% confidence interval, assuming the following values (assume normal distribution: z score):

• Sample size of 100;

• Sample mean of 25;

• Standard deviation of 7.

b. Write the 95% confidence interval, assuming the following values (assume normal distribution: z score):

• Sample size of 150;

• Sample mean of 25;

• Standard deviation of 7.

c. Write the 95% confidence interval assuming the following values (assume normal distribution: z score):

• Sample size of 100;

• Sample mean of 25;

• Standard deviation of 5.

d. Compare the results from (a), (b), and (c). What happened to the confidence interval as the sample size increased? What happened to the confidence interval as the standard deviation decreased?