Question 2 At one hospital the mean patient length of stay was determined to be 5 days. A hospital administrator believes that the mean length of stay may have been reduced to less than 5 days due to a newly adopted managed care system. To check this the length of stays in days for a random sample of 100 hospital patients were recorded. Length of stay for 100 hospital patients 2 3 8 6 4 4 6 4 2 5 8 10 4 3 4 2 1 3 2 10 1 3 2 3 4 3 5 2 4 1 2 9 1 7 17 9 9 9 4 4 1 1 1 3 1 6 3 3 2 5 1 3 3 14 2 3 9 6 6 3 5 1 4 6 11 22 1 9 1 5 2 2 5 4 3 6 1 5 6 6 17 1 2 4 5 4 4 3 2 3 3 5 2 3 3 2 10 2 4 2 Investigate the validity of the hospital administrator's claim at 5% level of significance. State clearly the assumptions on the sample and its parent population and explain each stage of the testing process.
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The null hypothesis ($H_0$) is that the mean length of stay is 5 days or more. $H_0: \mu \ge 5$ The alternative hypothesis ($H_1$) is that the mean length of stay is less than 5 days. $H_1: \mu < 5$ This is a one-tailed test because we are only interested in Show more…
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#30 The management of Regional Hospital has made substantial improvements in their hospital and would like to test and determine whether there has been a significant decrease in the average length of stay of their patients in their hospital. The following data has been accumulated before and after the improvements. At the 5% level, test to determine if there has been a significant reduction in the average length of stay. After Before Sample size 45 56 Mean (in days) 4.6 4.9 Standard Deviation (σ) .5 .55 a. Formulate the hypotheses. b. Compute the test statistic. c. Using the p-value approach, test to see if there has been a significant reduction in the average length of stay. Let α = .05. d. What does the test result mean in the context of this problem?
Rosina D.
The management of Regional Hospital has made substantial improvements in their hospital and would like to test and determine whether there has been a significant decrease in the average length of stay of their patients in their hospital. The following data has been accumulated before and after the improvements. At the 5% level, test to determine if there has been a significant reduction in the average length of stay. After Before Sample size 45 56 Mean (in days) 4.6 4.9 Standard Deviation (σ) .5 .55 a. Formulate the hypotheses. b. Compute the test statistic. c. Using the p-value approach, test to see if there has been a significant reduction in the average length of stay. Let α = .05. d. What does the test result mean in the context of this problem?
Gershon Kwame M.
2.Hospital Stays: Suppose we are interested in comparing the length of stay in days in two hospitals for patients with the same diagnosis and get the following data: Hospital 1: 21,10,32,60,8,44,29,5,13,26,33 Hospital 2: 86, 27, 10, 68, 87, 76, 125, 60, 35, 73, 96, 44, 238 a)Use a two-sample t-test to test for the difference in means. b)Explain why the p-value from the t-test in part (a) may not be accurate. c)Perform an appropriate non-parametric test and compare your results to those in part (a). Do your conclusions change? Discuss. d)It turns out there is also a question about whether there is a gender difference in length of stay at either hospital. The accompanying data file(PHCJ615 HW1 Data.csv)includes a grouping variable with 1 corresponding to males at hospital1, 2 corresponding to females at hospital 1, 3 corresponding to males at hospital 2 and 4 corresponding to females at hospital 2. Use a Kruskal-Wallis test to check whether there are differences in length of stay among these four groups of subjects. If there are,describe as carefully as you can what the patterns of differences are.
Madhur L.
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