Scooter's Tavern boasts that they have the "Coldest Beers in Town". A curious citizen tested a random sample of $49$ beers and found a mean temperature of $33\mathrm{.}5,$ with a standard deviation of $0\mathrm{.}33.$ We are going to construct a $92\%$ confidence interval for the mean temperature of all beers in the tavern. Round all answers to $3$ decimal placesWhat is the point estimate for our confidence interval? For the critical value, should we use the Z$-$statistic or the T$-$statistic?Since we only know the sample standard deviation, we should use the Z$-$statistic.Since we only know the sample standard deviation, we should use the T$-$statistic.Since we know the population standard deviation, we should use the Z$-$statistic.Since we know the population standard deviation, we should use the T$-$statistic.What is the margin of error? What is the $92\%$ confidence interval?