A manufacturer of automobile products has developed a new wax and is interested in comparing the new wax with their standard wax to determine if the new wax will protect a car for a longer period of time. In order to make a comparison, both waxes are applied to five new cars respectively and exposed to the same environmental conditions. The results of the test are:
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- Two different analytical methods were used to determine residual chlorine in sewage effluents. Both methods were used on the same samples, but each sample came from various locations with differing amounts of contact time with the effluent. Two methods were used to determine the concentration of Cl in mg/L, and the results are shown in the attached table. A. What type of t test should be used to compare the two methods and why? B. Do the two methods give different results? State and test the appropriatehypotheses at 95% confidence level. C. Does the conclusion depend on whether the 90%, 95%, or 99% confidence levelsare used?A diet center wanted to test three different methods for losing weight to determine if the average weight loss (reported in pounds/week) for each method is the same. The results for the three methods are tabulated below. Given that there is a significant difference between the three methods, use the Tukey test to determine if there is a significant difference between each pair of methods. Let a=0.05. (picture attached)In an effort to link cold environments with hypertension in humans, a preliminary experiment was conducted to investigate the effect of cold on hypertension in rats. Two random samples of 6 rats each were exposed to different environments. One sample of rats was held in a normal environment at 26°C. The other sample was held in a cold 5°C environment. Blood pressures and heart rates were measured for rats for both groups. The blood pressures for the 12 rats are shown in the table below. a. Provide a 95% confidence interval on the difference in the two population meansb. Do the data provide sufficient evidence that rats exposed to a 5°C environment have a higher mean blood pressure than rats exposed to a 26°C environment? Use α = 0.05
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