Week XXXXXXXXXX Question 1 A sample of 49 observations is taken from a normal population with a standard deviation of 10. The sample mean is 55. Find the 99% confidence interval of the population...

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Week 7.2 7.3 Question 1 A sample of 49 observations is taken from a normal population with a standard deviation of 10. The sample mean is 55. Find the 99% confidence interval of the population mean. A research company conducted a survey to determine the average amount that smokers spend on cigarettes during a week. The company found that the distribution of amounts they spend per week tended to follow a normal distribution, with a standard deviation of $ 5. A sample of 49 smokers revealed that the mean weekly expenses were $ 40. What is the point estimator of the population mean? Explain your answer. Using the 95% confidence level, determine the confidence interval for the population mean. Explain its meaning. A company dedicated to the care of the elderly plans to jointly offer childcare services for its employees. As part of the project feasibility study, they want to calculate the average weekly cost for childcare. A sample of 10 employees using this service reveals the following amounts spent last week. 100, 107, 90, 97, 92, 105, 101, 91, 99, 104. Construct the 90% confidence interval of the population mean. Interpret the result. Consider the following when submitting your test: Present and justify your answers with the aspects learned so far about estimation as well as any assumptions you make when solving the problems. Please use the APA style manual when submitting your proof in MS Word document. Question 2 Answer the following questions in essay form (introduction, analysis, and conclusion). In what situation or context can you apply what you have learned in a statistic class in your personal or professional life?