1. a) A fast food researcher wants to see whether Food Chain 1 or Food Chain 2 serves their customers faster (food chain

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1.
a) A fast food researcher wants to see whether Food Chain 1 orFood Chain 2 serves their customers faster(food chains). To do this, he recorded the time between when anorder is taken and when it is served. He tooka random sample of 60 orders from the two fast food chains. Withthe following results:
Chain 1 Chain 2Sample Mean 237 seconds 254 secondsSample Standard Deviation 35 seconds 21seconds
Construct a 95% confidence interval for the true mean differencebetween the two average serving times.
Two test were conducted among two sets of people toevaluate the difficulty of the exams. There were 50people who took Test 1 and 60 people who took Test 2. Thirty-fivepeople passed the first test while 47passed the second test. Construct a 99% confidence interval for thetrue difference between the twopopulation proportions.
Test1 Test 2