Suppose we are interested in studying a population to estimate its mean. The population is normal and has a standard deviation of o=16. We have taken a random sample of size n=80 from the population. This is Sample 1 in the table below. (In the table, Sample 1 is written "S1", Sample 2 is written "S2", etc.) As shown in the table, the sample mean of Sample 1 is x = 59.3. Also shown are the lower and upper limits of the 75% confidence interval for the population mean using this sample, as well as the lower and upper limits of the 95% confidence interval. Suppose that the true mean of the population is =60, which is shown on the displays for the confidence intervals. Press the "Generate Samples" button to simulate taking 19 more random samples of size n=80 from this same population. (The 75% and 95% confidence intervals for all of the samples are shown in the table and graphed.) Then complete parts (a) through (c) below the table. X S1 59.3 S2 58.9 S3 60.7 S4 64.1 S5 61.1 S6 58.5 S7 57.1 S8 57.2 S9 59.8 S10 61.1 75% 75% 95% 95% lower upper lower limit 57.2 upper limit limit limit 61.4 55.8 62.8 56.8 61.0 55.4. 62.4 62.8 58.6 57.2 64.2 66.2 62.0 67.6 63.2 59.0 56.4 59.2 55.0 60.6 57.6 64.6 62.0 53.6 60.6 59.3 55.1 53.7 60.7 61.9 57.7 56.3 63.3 63.2 59.0 57.6 64.6 55.0 60.6 - 75% confidence intervals 95% confidence intervals