A partially completed ANOVA table for a completely randomized design is shown here: Source SS df | MS | F Treatments 18.4 6 Error Total 45.2 41 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 = 0.10. d) Find the approximate p-value for the test in part c).
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- What is meant by the sample space of an experiment?Assume a researcher has found a new type of gasoline that improves the gas mileage (MPG). He needs to figure out the effect of the new gasoline type with respect to the regular type. Suppose he selected 22 cars randomly and expected to carry out a completely randomized design by taking 10 cars for new gasoline type and other 12 cars for regular gasoline type. Assume MPG is normally distributed for both types of gasoline. Type n Sample Mean ( ) Sample standard deviation (s) New Gasoline 10 25 3 Regular Gasoline 12 28 4 Assume that you need to conduct a hypothesis test to claim that the mean MPG of new gasoline is different than the mean MPG of regular. What is the p-value of the test?According to the U.S. Transportation Security Administration (TSA), 2% of the 771,556,886 travelers who utilized 440 federalized airports in 2017 waited more than 20 minutes in the TSA security line. The File TSAWaitTimes contains waiting Times in TSA security lines at a major U.S. airport for a recent random sample 10,531 travelers. Use these Data to test the hypothesis that the proportion of travelers waiting more than 20 minutes in TSA security lines at this airport is the same as the national proportion at α = .05 Data given: Time In Line Mean 11.99496 Median 11.97536 Standard Deviation 3.992043 Confidence Level(95.0%) 0.076253 Provide a 95% confidence interval with interpretation