Assignent Solutionnurs

– Please make sure you have answered all questions
Questions
1. Critique the following statement. Indicate whether it is true or false and explain the rationale for your answer.
A statement that “the 95% confidence interval for the population mean is (275, 325)” means that 95% of the population values are between 275 and 325.
2. As a research project a statistics student wants to construct a 95% confidence interval for the mean height of students enrolled at Maricopa College. She knows that heights are normally distributed with a standard deviation of 4 inches. What is the minimum sample size needed to ensure the margin of error does not exceed 0.5 inches? Include the calculations in your answer.
3. When would it be appropriate to use a t-interval instead of a z-interval to determine a confidence interval? What makes t the better choice in this instance?
4. Identify the three components of a Confidence Interval. Explain what each represents and the relationship between them.
5. Describe a potential issue with public opinion polls that fail to include a margin of error when reporting the results. Why is it important to include that information?