Concept Questions : (a) Is a sample mean likely to be exactly equal to the population mean? Explain why or why not in 1-2 sentences. (b) If you sampled n = 1000 people and computed the proportion of...

Concept Questions :
(a) Is a sample mean likely to be exactly equal to the population mean? Explain why or why
not in 1-2 sentences.
(b) If you sampled n = 1000 people and computed the proportion of them that floss daily and
then on the next day sampled another n = 1000 people, would you get the same sample
proportion? Explain why or why not in 1-2 sentences.
(c) You sampled n = 50 objects and computed a 96% confidence interval for the population
mean. Your supervisor asks you to recompute (using the same data) a 93% confidence
interval. Will the 93% confidence interval be narrower or wider? Explain why or why not
in 1-2 sentences.
(d) Will the sample mean (or sample proportion) always be inside a confidence interval for the
population mean (or the population proportion)? Why or why not.
(e) Will the population mean (or population proportion) always be inside a confidence interval
for the population mean (or the population proportion)? Why or why not.