The government claims that students earn a mean of $4500 during their summer break from studies. A fandom sample of students gave a sample average of $3975, and a 95% confidence interval was found to...


The government claims that students earn a mean of $4500 during their summer break from studies. A<br>fandom sample of students gave a sample average of $3975, and a 95% confidence interval was found<br>to be $3525 < j<$4425/Which of the following is a correct interpretation of 95% confidence?<br>a. If the study were to be repeated many times, there is a 95% probability that the true<br>average summer earnings is not $4500 as the government claims.<br>b. Because our specific confidence interval does not contain the value $4500 there is a 95%<br>probability that the true average summer earnings is not $4500.<br>If we were to repeat our survey many times, then about 95% of all the confidence<br>intervals will contain the value $4500.<br>C.<br>d. If we repeat our survey many times, then about 95% of our confidence intervals will<br>contain the true value of the average earnings of students.<br>There is a 95% probability that the true average earnings are between $3525 and $4425<br>for all students.<br>e.<br>

Extracted text: The government claims that students earn a mean of $4500 during their summer break from studies. A fandom sample of students gave a sample average of $3975, and a 95% confidence interval was found to be $3525 <><$4425 which="" of="" the="" following="" is="" a="" correct="" interpretation="" of="" 95%="" confidence?="" a.="" if="" the="" study="" were="" to="" be="" repeated="" many="" times,="" there="" is="" a="" 95%="" probability="" that="" the="" true="" average="" summer="" earnings="" is="" not="" $4500="" as="" the="" government="" claims.="" b.="" because="" our="" specific="" confidence="" interval="" does="" not="" contain="" the="" value="" $4500="" there="" is="" a="" 95%="" probability="" that="" the="" true="" average="" summer="" earnings="" is="" not="" $4500.="" if="" we="" were="" to="" repeat="" our="" survey="" many="" times,="" then="" about="" 95%="" of="" all="" the="" confidence="" intervals="" will="" contain="" the="" value="" $4500.="" c.="" d.="" if="" we="" repeat="" our="" survey="" many="" times,="" then="" about="" 95%="" of="" our="" confidence="" intervals="" will="" contain="" the="" true="" value="" of="" the="" average="" earnings="" of="" students.="" there="" is="" a="" 95%="" probability="" that="" the="" true="" average="" earnings="" are="" between="" $3525="" and="" $4425="" for="" all="" students.="">

Jun 11, 2022
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