10.26 A partially completed ANOVA table for a completely ran- NW domized design is shown here: Source df SS MS F Treatments 6 18.4 Error Total 41 45.2 a. Complete the ANOVA table. b. How many treatments are involved in the experiment? c. Do the data provide sufficient evidence to indicate a difference among the population means? Test, using a = .10. d. Find the approximate observed significance level for the test in part c, and interpret it.
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- A test was conducted of two overnight mail delivery services. Two samples of identical deliveries were set up so that both delivery services were notified of the need for a delivery at the same time. The hours required to make each delivery follow. Do the data shown suggest a difference in the delivery times for the two services? Use a .05 level of significance for the test. Use Table 1 of Appendix B. Click on the datafile logo to reference the data. DATA file Service Delivery 1 2 24.5 26.0 28.0 21.0 18.0 36.0 25.0 21.0 24.0 26.0 31.0 28.0 25.5 32.0 20.0 19.5 28.0 29.0 22.0 23.5 29.5 30.0 What is the z-statistic? If required, round your answer to two decimal places. Enter negative values as negative number, if necessary. -.31 What is the p-value? If required, round your answer to two decimal places. .76 Conclude. 12345 7890:=Answer this question using the One-Way ANOVA with Equal Sample Sizes: Weights (kg) of poplar trees were obtained from trees planted in a sandy and dry region. The trees were given different treatments identified in the table below. Use a 0.05 significance level to test the claim that the four treatment categories yield poplar trees with the same mean weight. Is there a treatment that appears to be most effective in the sandy and dry region? (Show the solution) No Treatment Fertilizer Irrigation Fertilizer and Irrigation 0.60 1.16 0.65 0.22 1.11 0.93 0.08 2.13 0.07 0.30 0.62 2.33 0.07 0.59 0.01 1.74 0.44 0.17 0.03 0.12Use a repeated-measures ANOVA with a = .05 to determine whether there are significant mean differences between the two treatments. Calculate n? as a measure of effect size. State the results as they would appear in a research report.
- A survey conducted in a small business yielded the results shown in the table. Test the claim that health care coverage is independent of gender. Use a 0.05 significance level. What is the value of the test statistic? Men Women Health insurance 50 20 No health insurance 30 10 O A. x2 = 0.1637 O B. x2 = 3.841 O C. x2 = 5.821 O D. x2 = 8.263 %3DTo help assess the health risks of second-hand smoke, the levels of cotinine (a metabolite of nicotine) were measured in mmol/l in the urine of seven subjects prior to exposure to second-hand smoke and shortly after a two-hour exposure to secondary cigarette smoke. Did the exposure significantly increase the cotinine level? What will be the appropriate statistical analysis to use in this problem? a. z-Test for Comparing Two Means from Independent Populations b. t-Test for Comparing Two Means when the Samples are Dependent c. z-test for comparing the difference between two proportions d. t-Test for Comparing Two Means from Independent Samples e. F-test in Comparing the Difference Between Two VariancesAn agricultural experiment considered the effects of K2O (potash) on the breaking strength of cotton fibers. Five K2O levels were used (36, 54, 72, 108, 144 lbs/acre). A sample of cotton was taken from each plot, and a strength measurement was taken. a. Complete the ANOVA table b. Test if there is difference between the mean strength based on Potash levels.
- Is there a treatment that appears to be most effective in the sandy and dry region?A sports researcher is interested in seeing if sports teams from the West Coast, Midwest, and East Coast fare differently in terms of the mean number of championships that they win. Each number below represents an individual observed sports team (X) that the researcher sampled. West Coast Midwest East Coast 7 2 11 3 4 9 Mwest = Mmid = Meast = nwest = nmid = neast = N = GM = Perform a one-way ANOVA to determine if there is a significant difference between regions in terms of the number of championships that teams win. 1. State the Main and Null Hypotheses. Assume alpha = .05 2. Find the critical F…4. Answer the following. Feel free to use the Excel Demo from the course website called "alpha and beta". a. What happens to the probability of type IlI error as the difference between mu_0 and the actual mean increases? b. What happens to the probability of type II error as the sample size increases? C. How does changing the significance level effect the type Il error probability? -Accessibility: Good to go O Focus a AP hp