- 4 I Is 500 Inside Or Outside The Confidence Interval That You Constructed Assuming That The Sample Mean Was From A Sa 1 (197.04 KiB) Viewed 15 times
4) (i) Is 500 inside or outside the confidence interval that you constructed assuming that the sample mean was from a sample of 25? (ii) Is 500 a plausible value of µ? (If 500 is inside the confidence interval, say that 500 is a plausible value of u; if 500 is outside the confidence interval, say that 500 is not a plausible value of μ.) [Make sure that you clearly answer both parts of this question.] 5) (i) Is 500 inside or outside the confidence interval that you constructed assuming that the sample mean was from a sample of 100? (ii) Is 500 a plausible value of µ? (If 500 is inside the confidence interval, say that 500 is a plausible value of u; if 500 is outside the confidence interval, say that 500 is not a plausible value of μ.).) [Make sure that you clearly answer both parts of this question.] Your answers to parts 1-iii and 4-ii should be consistent, and your answers to parts 2-iii and 5-ii should be consistent. These problems demonstrate that a C-level confidence interval (such as those you constructed in Part 3) can be used in place of a significance test of Ho: μ= μo vs. Ha: μμo with a = 1-C. If the tested po (in these problems, 500) is inside the C-level confidence interval, the result is not statistically significant at the a level where a = 1 - C. If the tested He is outside the confidence interval, the result is statistically significant at the a level where a = 1 - C. (For additional discussion, see Problem 17.42 of Moore & Notz, BPS9e.) 'Two acceptable forms are (1) estimate ± margin of error and (2) "From the values at the end of the interval. to______" in which the blanks are filled in by