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- Analyze the residuals from this experiment and comment on model adequacy. aboveWhich of the following would probably NOT be a potential “cure” for non-normal residuals? Select one: a. Transforming two explanatory variables into a ratio. b. Removing large negative residuals. c. Removing large positive residuals. d. Using a procedure for estimation and inference which did not assume normality.An automobile manufacturer who wishes to advertise that one of its models achieves 30 mpg (miles per gallon) decides to carry out a fuel efficiency test. Six nonprofessional drivers were selected, and each one drove a car from Phoenix to Los Angeles. The resulting fuel efficiencies (in miles per gallon) are given below. 27.2 29.2 31.2 28.5 30.3 29.5 Assuming that fuel efficiency is normally distributed under these circumstances, do the data contradict the claim that true average fuel efficiency is (at least) 30 mpg? Test the appropriate hypotheses at significance level 0.05. (Use a statistical computer package to calculate the P-value. Round your test statistic to two decimal places and your P-value to three decimal places.) t= P-value = State the conclusion in the problem context. Reject H0. We have convincing evidence that the mean fuel efficiency under these circumstances is less than 30 miles per gallon.Do not reject H0. We have convincing evidence that the mean fuel…
- If the p-value of the chi-square test is __________ than the α (alpha) threshold, we could conclude that the observed relationship is __________ than that expected from Benford’s law.The new version of the Standard requires the measurement uncertainty (MU) contributions of sampling to be considered Comment on whether this is still applicable if the facility is not accredited for sampling or is not responsible for sampling.The Firearm Injury Surveillance Study (FISS) records whether the shooting arose out of a fight and the type of firearm used to cause the injury (here, handguns vs. rifles and shotguns). With an alpha of .01, conduct a five-step hypothesis test to determine if the variables are independent. Please fill out the chart provided and provide calculations. Fight Involved Handgun Long Gun Row Marginal Yes 158A 11B 169 No 309C 133D 442 Column Marginal 467 144 N = 611 Expected Frequency Count fe Calculations χ2obt Calculations:
- Test the strength of linear relationship with H0 : b = 0 and H1 : b ̸= 0 using significance level α = 0.05. Forecast the electric resistence when the carbon content is 50% and calculate a prediction interval for the predicted point with 95% confidence.From the image: The regression output was based on a sample of 213 cane toads. How many degrees of freedom does the appropriate t-distribution used to get the p value and the t∗ critical value for confidence intervals have?A mixture of pulverized fuel ash and Portland ce-ment to be used for grouting should have a true aver-age compressive strength of more than 1300 KN/m2. The mixture will not be used unless experimental evidence indicates conclusively that the strength specification has been met. State the relevant hy-potheses, and describe the type I and type II errors in the context of this problem.
- The Us food and Drug administration has a limit for mercury content in fish of 1.0ppm (parts per million) while in Canada the limit is 0.5 ppm. Using the variable average mercury in the Florida lakes dataset to test whether there is evidence that average mercury level of fish ( large mouth Bass) in Florida lakes is less than 1.0ppm and whether there is evidence that average mercury level of fish in Florida lakes is less than 0.5ppm. STATE THE NULL AND ALTERNATIVE HYPOTHESES? GIVE THE TEST STATISTICS AND P-VALUE? round the test statistic to two decimal places and the p-value to three decimal places. DOES THIS SAMPLE PROVIDE EVIDENCE THAT THE AVERAGE MERCURY LEVEL OF FISH (LARGE MOUTH BASS) IN FLORIDA LAKES IS LESS THAN 1.0PPM? LESS THAN 0.5 PPM : STATE THE NULL AND ALTERNATIVE HYPOTHESES. GIVE THE TEST STATISTICS AND P-VALUE ? round the test statistic to two decimal places and the p-value to three decimal places. DOES THIS SAMPLE PROVIDE EVIDENCE THAT THE AVERAGE MERCURY…The average wind speed in Casper Wyoming has been found to 12.7 miles per hour and in Phoenix Arizona it is 6.2 mph. To test the relationship between the averages, the average wind speed has calculated for a sample of 31 days for each city. The results are reported below. Is there sufficient evidence at alpha = 0.05 to conclude that the average wind speed is greater in Casper or Phoenix ? Sample size Casper 31 Phoneix 31 Sample mean 12.85mph 7.9mph Sample standard deviation 3.3mph 2.8mphThe breaking strength of a cable is known to be normally distributed with a mean of 4000 kg and a standard deviation of 25 kg. The manufacturer prefers that at least 95%of its product meet a strength requirement of 4050 kg. Is this requirement being met? If not, by changing the process parameter, what should the process mean target value be?
