Use the given degree of confidence and sample data to construct a confidence interval for the population mean μ. Assume that the population has a normal distribution. The amounts (in ounces) of juice in eight randomly selected juice bottles are:     15.3  15.3  15.7  15.7     15.3  15.9  15.3  15.9Construct a 98% confidence interval for the mean amount of juice in all such bottles.

Need assistance in completing week 4. There is multiple classwork that needs to be completed. This includes week 4 weekly summary (10 Question answer with steps on how you found the answer). There is week 4 Summary as well as 3 other exams as well.All work has is found and completed on my student portal website. Access will be provided to you.Week 4 Weekly SummaryWhen posting here in the Weekly Summary section please do not post "answers only" but rather show how you obtained your answers in a step by step manner. If your solution is correct, it is in your best interest for us to see how you obtained the answer. If your solution is incorrect, showing your steps will help us to follow your process and we can then work together to find your mistake.No bonus points will be awarded for answers without explanations.A maximum of 5 bonus points will be awarded for 5 correct answers with step by step explanations.The weekly summary answers and explanations will be posted in the Announcement section by Friday of each week. Please try to work each problem without pasting and copying or you will defeat your purpose of learning. Credit will only be given for "original" work. Please feel free to study the explanations, learn the problem, and create your own step-by-step explanation for bonus points . You may post your explanations throughout the term (please remind your instructor in the General Questions thread to grade your problems if you have posted after Sunday).Solve the following equation for n:n/4 - 5/6 = 5/12Solve the following equation for x:2x/3 - 4x/5 = 1/15Solve the following equation for x: 9/(4x) + 1/3 = 5/(2x)Solve the following equation for x:|5x-7| = 14Hint: This absolute value equation will turn into 2 linear equations, so there will be two solutions!Solve the following system of linear equations: 2x + 3y = -5 -2x + y = 9 6. Solve for (x, y, z), if there is a solution to the given system of linear equations: - x + 2y + 3z = 0 3x - 2y - 2z = 5 4x + y - 3z = -9 7 . Solve: x2 - 4x + 5 = 0. 8, Add the complex numbers: (5 – 2i) + (1 + 6i) 9. Subtract the complex numbers: (4+3i) - (6+i). 10. Multiply the complex numbers (4+3i) (6+i).Week 4 Algebra Talk Many students have often asked questions such as: Why do I need to learn Mathematics? Where and when am I going to use it in my life?Now that you are almost done with this College Algebra class, can you now explain why it is important for everyone to learn Mathematics? Can you also give examples on when, where, and how you have used and are using Mathematics in your everyday life?Please give examples and feel free to include: budgeting, investing, traveling, locating, securing personal informations, spending, saving, investing, measuring, cooking, etc.EXAMPLE: Hello! Math is an everyday tool that I use in everything I do. Math is important because it helps me take care of everything I need to on a daily basis. I was able to calculate how much money I would save for the year after doing my monthly budgets. I was able to figure out the distance, mileage, time, and how much it would cost to drive from Florida to New York last month. Then I was able point out the exact location of my final destination on a map. "The great book of nature can be read only by those who know the language in which it was written. And that language is mathematics". Galileo

Part 1. Frankfort-Nachmias and Leon-Guerrero (2018) noted that the precision of a confidence interval can be enhanced by increasing the sample size. Write a 250- to 300-word response to the following: How does sample size affect the validity of a study? What factors determine the size of an ideal sample? How is the sample size calculated? Reference: Frankfort-Nachmias, C., & Leon-Guerrero, A. (2018). Social statistics for a diverse society (8th ed.). Thousand Oaks, CA: SAGE Publications, Inc. Part 2 Respond in 150 words or more Sometimes students will choose a population that is so large the sample would also be large. I call it looking at an entire forest instead of looking at a single tree. What do you think a researcher could do to decrease the population size? PART 3 Write a 250- to 300-word response to the following: Select one of the sampling designs introduced in this week’s readings. Give a brief introduction of the sampling design, and explain where you might apply it most successfully. PART 4 Respond in 150 words or more I agree that probability sampling is a good way to go. Can you think of research or a project it would work in?