Section 1.1 QUESTION 5o*Za/2n=Solve the following problem in stages:According to prior research, the amount of time a medical doctor spends with patients has a standard deviation of 3.6 minutes. Further study isneeded to estimate the true mean time medical doctors spend with their patients. If a researcher wants to be 96% confident that the estimate iswithin 1.2 minutes of the population parameter, what is the minimum sample size necessary for such findings? [COMMENTS & HINTS: Roundup!]Finally, substituting the corresponding values into the formula, what is the minimum sample size necessary for such findings? And yes, don'tforget to round up, no matter what! QUESTION 6Shifting to a different problem context, solve the following problem, and don't forget to round appropriately.A registered dietician, wants to estimate the population mean average for the number of soda cans that teenage boys drink daily. She wants to be90% confident in her answer. She knows from past research that the population standard deviation is two cans of soda. She wants her answer tobe accurate to within one-quarter of a can. How large a simple random sample does she need to collect? HINT: The critical value should berounded to no fewer than three decimal places: #.### or #.####, for example; if you over-round the critical value, the final sample size answer willnot round correctly.QUESTION 7Shifting to another problem context, solve the following problem, and don't forget to round appropriately.A food scientist at Healthy Habits magazine is tasked by the magazine's editor-in-chief to estimate the mean number of between-meal snacks thatAmericans eat weekly. What is the minimum size of the sample she should collect if the magazine's editor editor-in-chief assumes the populationstandard deviation is approximately 5 snacks, achieving 99% confidence with the results using a margin of error of 2 snacks?

Hello! As you have posted 3 different questions, we are answering the first question (5). In case you require the unanswered question also, kindly re-post them as separate question. Given information: σ=3.6E=1.2Confidence level is 96%Significance level is 4% From the standard normal table, the critical value corresponding with 0.04 level is 2.05.. Therefore, n=σ*Zα2E2 =3.6*2.051.22 =37.8225≈38