1. SAT Math Scores

2. Travel Time to Work In repeated sampling, the average distance between the sample means and the population mean will be about 4.8925 minutes.

3. Vitamin C Content State: We want to estimate the true mean amount of vitamin C μ in the CSB from this production run at the 95% confidence level. Plan: We should construct a one-sample t-interval for μ if the conditions are met. Random: The data come from a random sample. Normal: There are only 8 measurements so we must check the shape. The dotplot does not show any strong skewness or outliers so this condition is met. Independent: We have less than 10% of the possible samples from this production run. The conditions are met.

4. Vitamin C Content Do: Mean 22.5 and standard deviation 7.19 and we have a sample of n = 8 observations. This mean that we have 7 degrees of freedom and t* = 2.365. The confidence interval= (16.49, 28.51) Conclude: We are 95% confident that the interval from 16.49 to 28.52 mg/100 g captures the true mean amount of vitamin C in this production run.