Question

1. In 2018, the GSS asked people how long they have been residing in the US. The responses of 297 subjects in the survey had lived in the US for an average of 23.26 years with a standard deviation of 15.48 years.

(a) Interpret the reported sample mean (i.e. state what that means in plain language to someone who may not have taken statistics in a long time, like Grandma)

(b) Compute a confidence interval for this estimate and interpret it. Be clear about what your level of confidence is and ensure that you show your work.

(c) Suppose that the number of people sampled was only 54 (instead of 297). What would the interval be now? Show your work.

Answer 1