Need help solving C), D), E) involving confidence intervals.I found these formul
ID: 3201994 • Letter: N
Question
Need help solving C), D), E) involving confidence intervals.I found these formulas but I don't understand why I should use them or if they're even correct.
CSV (sorted): 09, 11, 13, 14, 15, 15, 16, 19, 21, 23, 23, 23, 23, 24, 24, 25, 28, 28, 29, 31, 33, 33, 34, 34, 34, 35, 35, 36, 36, 38, 39, 42, 45
Index: 01, 02, 03, 04, 05, 06, 07, 08, 09, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33 List: 23, 33, 14, 15, 42, 28, 33, 45, 23, 34, 39, 21, 36, 23, 34, 36, 25, 09, 11, 19, 35, 24, 31, 29, 16, 23, 34, 24, 38, 15, 13, 35, 28 Sorted: 09, 11, 13, 14, 15, 15, 16, 19, 21, 23, 23, 23, 23, 24, 24, 25, 28, 28, 29, 31, 33, 33, 34, 34, 34, 35, 35, 36, 36, 38, 39, 42, 45 13.2 Answer the following for the data of Exercise 12.11: a) What is the 10-percentile and 90-percentile from the sample? (33) (10/100) 3.3 b) What is the mean number of disk I/O's per program? 888/33 26.91 c) What is the 90% confidence interval for the mean? Using the t distribution x t 9.350 26.91 t 1.697 (24.148, 29.672) 33 d) What fraction of programs make less than or equal to 25 l/O's and what is the 90% confidence? a S a S 485 Z 2 vn e) What is the one-sided 90% confidence interval for the mean?Explanation / Answer
For all the c,d and e we have used formula as parameters+/-(z or t)*SE
C. now here as n is 33 we have used t distribution generally for n more than 100 we use z for means.
D. for proportion we use z only.
E. One sided confidence intervals are dual to one tailed hypothesis tests just as regular two sided CIs are dual to two tailed tests. If is a parameter, and we say that ( a , ) is a one sided CI for , then this means that a was found by a process that will yield a value below the true value of 95 % of the time