Question

9. Data for problems 9-14 Shelley, the director of Kent hospital wants to estimate the average number of people who are admitted to the emergency room during a 24-hour period. She randomly selects 15 different days and determined the number of admissions for each . for this sample, the average number of admissions per day is 19.0 with standard deviation of 5.0. she wants to find the 95% confidence interval for the average number of admissions per 24-hour period. What is the statistic X? 10. What is the standard deviation of the sample mean (standard error)? (3 decimal digits) 11. What is the critical value? (3 decimal digits) 12. What is the margin of error? (3 decimal digits) 13. What is the lower confidence limit? (3 decimal digits) 14. What is the upper confidence limit? (3 decimal digits)

Answer 1

Answer Date: 05/05/2020 The statistics for sample mean is, K = H = 19 The statistics for sample mean is 19). The sample mean is same as population mean due to the sample mean is an unbiased estimator of population mean. 10)

The standard error of the sample mean is, SE; = Vn 15 = 1.291 The standard error of the sample mean is 1.291). 11) The t critical value is, The sample size is small and two-tailed test. Look in the column headed a=0.05 and the row headed in the t distribution table by using degree of freedom is, d.f.=n-1 = 15-1 = 14 The t critical value is 2.145

12) The margin of error is, =2.145 * = 2.769 The margin of error is 2.769. 13) The lower confidence limit (LCL) for 95% confidence interval for the average number of admissions per 24-hour period is, 95%L.C.L. = 1-E = 19-2.769 = 16.231

The lower confidence limit (LCL) for 95% confidence interval for the average number of admissions per 24-hour period is 16.231. 14) The upper confidence limit (UCL) for 95% confidence interval for the average number of admissions per 24-hour period is, 95% U.C.L. = 1 + E = 19 +2.769 = 21.769 The upper confidence limit (UCL) for 95% confidence interval for the average number of admissions per 24-hour period is 21.769.