In a recent study 3 , n = 2006 randomly selected US adults (age 18 or older) were asked to give the number of people in the last six months “with whom you discussed matters that are important to you.” The average number of close confidants was 2.2 and the standard deviation is known to be 1.4. Construct a 95% confidence interval for the average number of close confidants US adults have. Give a one sentence interpretation of your interval that uses the word “confident” (not the word “probability”).

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In a recent study 3 , n = 2006 randomly selected US adults (age 18 or older) were asked
to give the number of people in the last six months “with whom you discussed
matters that are important to you.” The average number of close confidants was 2.2
and the standard deviation is known to be 1.4.
Construct a 95% confidence interval for the average number of close confidants US
adults have. Give a one sentence interpretation of your interval that uses the word
“confident” (not the word “probability”).

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