Students enrolled in medical school at a university is interested in comparing t
ID: 3312857 • Letter: S
Question
Students enrolled in medical school at a university is interested in comparing the number of days patients spend in the ICU at four local hospitals. They randomly sample eight patients from each of the hospitals who survived their stay in the ICU. The data for the 32 patients is stored in the Excel spreadsheet. Use the data and the Hypothesis Test Workbook to perform the hypothesis test at the 5% level of significance. a. Fill in the table on the answer sheet with the sample means, sample standard deviations, and sample sizes for each group. b. Copy the ANOVA table from Excel onto the answer sheet. c. What are the null and alternative hypotheses? d. Will you reject or fail to reject the null hypothesis? Explain why using the critical value or p-value. e. Write a conclusion in the context of the problem Calculate the margin of error used in the 95% multiple comparisons confidence intervals. Fill in the table of with the 95% confidence intervals that compare the group means. List the pairs of groups that have significantly different means. Suggest a reason one hospital may have patients that spend more time in the ICU than others. (Think about where the hospitals might be located, socioeconomic status, severity of illness/injuries, etc.) f. h. i.Explanation / Answer
a.
b. ANOVA
Null hypothesis:there is No difference between mean of No. of patients spend ICU at four local hospitals
Alternative Hypothesis:There is mean difference betweenmean of No. of patients spend ICU at four local hospitals
Interpreation of ANOVA: P-value 0.015 < 0.05 we reject the null hypothesis.
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Hospital 1 Hospital 2 Hospital 3 Hospital 4 Mean 17.25 Mean 26 Mean 16.5 Mean 14.625 Standard Error 2.2658 Standard Error 2.841026 Standard Error 2.39792 Standard Error 2.470812 Size 138 Size 208 Size 132 Size 117