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In a random sample of 42 people at a frozen yogurt shop, it was found that they ordered an average of 6 ounces with a standard deviation of 1.3 ounces. Construct a $99%$ confidence interval for the average number of ounces ordered from this frozen yogurt shop. a. Which parameter are you estimating? b. What is the point estimate? $=$ c. Check all of the requirements that are satisfied. random the $x?$ distribution is normal since $n?30$ the $x?$ distribution is normal since the $x$ distribution is normal the $p^?$ distribution is normal since $np?10$ and $nq?10$ d. Find the marsin of error. (You may use a critical value of $t_{c}=2.7012$,) $E=$ e. Give the confidence interval in interval notation. f. Select the correct conclusion. We are $99%$ confident that the average number of ounces ordered by the 42 poople in 1 then sample is between the two numbers found. We are 99 . confident that the average number of cunces ordered by ail of the callaners at this frozen yogurt shop is between the two numbers found. frozen yogurt shop is betwen be two numbers found the imo numbers found.

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