qual Sample Sizes: Veights (kg) of poplar trees were obtained from trees lanted in a sandy and dry region. The trees were given ifferent treatments identified in the table below. Use a .05 significance level to test the claim that the four reatment categories yield poplar trees with the same hean weight. Is there a treatment that appears to be host effective in the sandy and dry region? Fertilizer No Treatment Fertilizer Irrigation and Irrigation
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- What is meant by the sample space of an experiment?The City of South Lake Tahoe, CA, has an Asian population of 1,419 people, out of a total population of 23,609. Suppose that a survey of 1,419 self-reported Asians in the Manhattan, NY, area yielded the data in the table below. Conduct a goodness-of-fit test to determine if the the self-reported sub-groups of Asians in the Manhattan area fit that of the Lake Tahoe area. (Use a significance level of 0.05.) Race Lake Tahoe Frequency Manhattan Frequency Asian Indian 131 174 Chinese 118 557 Filipino 1,045 518 Japanese 80 54 Korean 12 29 Vietnamese 9 21 Other 24 66 State the distribution to use for the test. What is the test statistic? (Round your answer to two decimal places.) What is the p-value? (Round your answer to four decimal places.)Five samples of a ferrous-type substance were used to determine if there is a difference between a laboratory chemical analysis and an X-ray fluorescence analysis of the iron content. Each sample was split into two subsamples and the two types of analysis were applied, with the accompanying results. Assuming that the populations are normal, test at the 0.10 level of significance whether the two methods of analysis give, on the average, the same result.
- Kevin, a Human Resources professional, would like to make the claim that the average hourly wage for administrative workers at his company is less than $9.69. Kevin samples 15 workers and obtains a sample mean of $8.80 per hour. At the 1% significance level, should Kevin reject or fail to reject the null hypothesis given the sample data below?In a rural area, only 30% of the wells that are drilled find adequate water within a depth of 100 feet or less. A local man Jed Clampett asserts he can do better by “dowsing” - using a forked stick to indicate where the well should be drilled. A sample of 80 of his customers reported 27 that found water before a depth of 100 feet. Does the data support his claim? Use a 10% significance level.Five samples of a ferrous-type substance were used to determine if there is a difference between a laboratory chemical analysis and an X-ray fluorescence analysis of the iron content. Each sample was split into two subsamples and the two types of analysis were applied, with the accompanying results. Assuming that the populations are normal, test at the 0.02 level of significance whether the two methods of analysis give, on the average, the same result
- In order for a candy company to claim that a bridge mix is mostly chocolate stars, a proportion of at least 0.8 of the packages must contain 3 ounces or more of chocolate stars. Quality control tests a random sample of 50 packages to determine if the proportion is less than 0.8 at a significance level of 0.05. Use Sheet 6 of the Excel file to calculate p^, the z-score, and the p-valueThe owner of a machine shop must decide which of two snack-vending machines to install in his shop. If each machine tested 250 times, the first machine fails to work (neither delivers the snack nor returns the money) 13 times, and the second machine fails to work 7 times, test at the 0.05 level of significance whether the difference between the corresponding sample proportions is significant.As a part of an industrial training program, some trainees are instructed by Method A, which isstraight teaching-machine instruction, and some are instructed by Method B, which also involvesthe personal attention of an instructor. Random samples of size 10 are taken from large groupsof trainees instructed by each of these two methods, and the scores they obtained in anappropriate achievement test are shown in Table 5. Use 0.05 level of significance to test the claimthat Method B is more effective. Assume that the populations sampled can be approximatedclosely with normal distribution having the same variance. Method A 71 75 65 69 73 66 68 71 74 68 Method B 72 77 84 78 69 70 77 73 65 75
- An investigator hypothesizes that the improvement rate associated with a placebo is P1 = 0.45, and that the improvement rate associated with an active drug is P2 = 0.65. The plan is to perform a two-tailed test. Use SAS to complete each problem below. (b) How large must the sample size be if the significance level is relaxed to 0.05 and the power to 0.85? Suppose that instead of accruing an equal number of patients on each treatment arm, you allocate 1.5 patients to the new treatment for every patient on standard treatment. What sample size is required on each arm to guarantee 85% power with a level 0.05? How does the sample size computed here compare with the total required sample size in (b)?2. A national car rental agency is interested in determining whether the mean days that customers rent cars is the same between three of its major cities. The following data reflect the number of days people rented a car for a sample of people in each of three cities. At the 5% significance level, do the data provide sufficient evidence to conclude that a difference exists between the population mean days corresponding to the three cities? Use the One-Way ANOVA test. -Attached is the image with the following data. Step 1 - State the Hypothesis Step 2 - Decide on alpha Step 3 - Calculate the Test Statistic Step 4 - Find the Critical Value Step 5 - ConclusionTo test the significance of a Mann-Whitney U in very small sample sizes, it is first converted into a Z score and the corresponding p-value is evaluated against the alpha level used. True False