Delays in discharges from immediate health care facilities create unnecessary risks of expenses for patients and their families. Discharge delays (in days) from two healthcare facilities are shown in the following table. Assume that these data represent SRSs from their respective populations and that the populations demonstrate no major departure from normality. Facility A 12 9 13 16 7 19 20 16 15 14 12 16 facility B 7 10 13 15 9 15 12 16 8 9 6 12 a. Find the mean, median, variance and standard deviation of delays times for Facility A. b. Find the mean, median, variance and standard deviation of delays times for Facility B. c. Compare delays times in the facilities and test whether there was significant difference in mean delay times? Use alpha=0.05

HOME Realty claims that it can sell a detached, residential house faster than any other realty company. With the aim of examining HOME's claim, you sample 20 customers who sold a detached, residential house through HOME and record the selling times (in days) of the houses. Your data are summarized in the following histogram. Relative frequency 0.4- 0.3 0.35 0.20 0.2+ 0.20 0.15 0.10 0.1- 0.0- 0 10 20 30 Selling time (in days) 40 50 Based on the histogram, find the proportion of selling times in the sample that are at least 20 days. Write your answer as a decimal, and do not round your answer. 0 × 5

"Conservationists have despaired over destruction of tropical rain forest by logging, clearing, and burning." These words begin a report on a statistical study of the effects of logging in Borneo. Here are data on the number of tree species in 12 unlogged forest plots and 9 similar plots logged 8 years earlier: 22 18 22 20 15 21 13 13 19 13 19 15 17 4 18 14 18 15 15 10 12 Unlogged Logged Does logging significantly reduce the mean number of species in a plot? Assume equal population variances and use a = 0.05. Use the difference: logged - unlogged. 1. Test Stat: 2. Critical Region: a. T> -1.729 b. Tabs (-1.729) c. T abs (-1.729) 3. Conclusion: At 5% level of significance a. logging reduces the mean number of species in the plot b. there is no evidence that logging reduces the mean number of species in the plot

Two companies produce widgets of varying quality. An important measure of quality is the number of days the widgets can go before they need to be replaced. Do the following data provide evidence that the quality of widgets from the two companies differ? Round the p-value to three decimal places. Do not assume equal variances. Widget Life in Days from Company 1 13.0 13.2 43.2 40.7 55.0 57.3 43.8 49.9 31.7 Widget Life in Days from Company 2 57.1 57.7 59.1 58.7 51.6 57.9

The table below shows the number of state-registered automatic weapons and the murder rate for several states in the U.S. 11.6 8.4 6.7 3.5 2.7 2.7 2.2 0.9 14.1 11.3 9.9 6.8 6.2 6.3 5.8 I = thousands of automatic weapons y = murders per 100,000 residents Keep in mind, the data in the table do not necessarily imply a direct causal link between the two variables. (In fact, can you think of any reasons why these variables may not be directly related to each other?) Also, the purpose of this question is not to make a political statement about guns or gun control. It's only to illustrate that data such as these sometimes have mathematical relationships that can be modeled with linear equations. Those relationships should always be questioned and examined carefully. With that said, these data can be modeled by the equation y = 0.87z + 3.95. Use this equation to answer the following; A) If this model is oconsistent, how many murders per 100,000 residents can be expected in a state with 8.7…

Suppose researchers at an abdominal transplant clinic are concerned about the rate of graft loss due to diabetes status prior to receiving a donor kidney. Research has shown that gender discordance, or receiving a gender from a donor of an opposite gender may increase the risk of both exposure and outcome after transplant. Assume the following tables represent the stratified analysis of the potential confounding variable. (9 points)   Gender Discordance Graft Failure No Graft Failure Total Diabetes II 23 10 33 No Diabetes II 4 44 48 Total 27 54 81 Gender Concordance Graft Failure No Graft Failure Total Diabetes II 9 34 43 No Diabetes II 12 87 99 Total 21 121 142   A)  Calculate the stratum specific estimates for the odds ratios in each strata. B)  Observe the difference in the odds ratios. Based on observation alone, what are we likely to conclude regarding the relationship between outcome and exposure…

Interpret scatter diagram and descriptive statistics.

Solve the attached problem

11. A manager of a department times how many hours each person works within her department.   43     42     24     50     41     28     47     47     39     59     29     31     39     42   What is the mean and median of the data? Group of answer choices Mean = 40.1;  Median = 41.5 Mean = 40.0;  Median = 42.5 Mean = 40;     Median = 42 Mean = 40.8;  Median = 47

Two companies produce widgets of varying quality. An important measure of quality is the number of days the widgets can go before they need to be replaced. Do the following data provide evidence that the quality of widgets from the two companies differ? Round the p-value to three decimal places. Do not assume equal variances.   Widget Life in Days from Company 1 Widget Life in Days from Company 2 12.0 52.2 14.0 45.8 48.4 44.6 47.0 57.5 50.4 44.2 57.4 50.8 30.8   43.0   30.0