Suppose we measure the gasoline usage in kilometers per liter of three different makes of compact automobiles. Five cars of each make are sampled. All cars are driven over the same oute using the same driver, fuel, and so forth. Thus all possible influences on kilometer except for make of car are controlled as much as possible, use a 5% level of significance to test if the hree makes of cars get equal kilometers on average. MAKE OF CAR OBSERVATION 1 2 3 1 30 33 35 37 39 26 32 22 41 29 49 35 22 27 37 2 3 4 5
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- What is meant by the sample space of an experiment?. Although there is a popular belief that herbal remedies such as Ginkgo biloba and Ginseng may improve learning and memory in healthy adults, these effects are usually not supported by wellcontrolled research (Persson, Bringlov, Nilsson, and Nyberg, 2004). In a typical study, a researcher obtains a sample of n = 16 participants and has each person take the herbal supplements every day for 90 days. At the end of the 90 days, each person takes a standardized memory test. For the general population, scores from the test form a normal distribution with a mean of μ = 50 and a standard deviation of σ = 12. The sample of research participants had an average of M = 54. Assuming a two-tailed test, state the null hypothesis in a sentence that includes the two variables being examined. Using the standard 4-step procedure, conduct a two-tailed hypothesis test with α = .05 to evaluate the effect of the supplements.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.
- 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 resultA consumer preference study involving three different bottle designs (A, B, and C) for the jumbo size of a new liquid laundry detergent was carried out using a randomized block experimental design, with supermarkets as blocks. Specifically, four supermarkets were supplied with all three bottle designs, which were priced the same. The following table gives the number of bottles of each design sold in a 24-hour period at each supermarket. If we use these data, SST, SSB, and SSE can be calculated to be 586.1667, 421.6667, and 1.8333, respectively. Results of a Bottle Design Experiment Supermarket, j Bottle Design, i 1 2 3 4 A 16 14 1 6 B 33 30 19 23 C 23 21 8 12 (a&b) Test the null hypothesis H0 that no differences exist between the effects of the bottle designs and supermarkets on mean daily sales. Set α = .05. Can we conclude that the different bottle designs have different effects on mean sales? (Round F to 2 decimal places and SS, MS to 3 decimal places.…Let population 1 be drivers of age 25-34 and let population 2 be drivers of age 50-59. An insurance company collects data on seat-belt use among drivers in a country. Of 1900 drivers 25-34 years old, 19% said that they buckle up, whereas 487 of 1800 drivers 50-59 years old said that they did. At the 10% significance level, do the data suggest that there is a difference in seat-belt use between drivers 25-34 years old and those Use the two-proportions z-test to conduct the required hypothesis test. What are the hypotheses for this test? A.Upper H 0 : p 1 equals p 2 comma Upper H Subscript a Baseline : p 1 greater than p 2 H0: p1=p2, Ha: p1>p2 B.Upper H 0 : p 1 not equals p 2 comma Upper H Subscript a Baseline : p 1 equals p 2 H0: p1≠p2, Ha: p1=p2 C.Upper H 0 : p 1 equals p 2 comma Upper H Subscript a Baseline : p 1 not equals p 2 H0: p1=p2, Ha: p1≠p2 Your answer is correct. D.Upper H 0 : p 1 equals p 2 comma Upper H Subscript a Baseline : p 1…