Question: 36. In a certain experimental laboratory, a method A for producing gasoline from crude oil is being investigated. Before completing experimentation, a new method B

36. In a certain experimental laboratory, a method A for producing gasoline from crude oil is being investigated. Before completing experimentation, a new method B is proposed. All other things being equal, it was decided to abandon A in favor of B only if the average yield of the latter was clearly greater. The yield of both processes is assumed to be normally distributed. However, there has been insufficient time to ascertain their true standard deviations, although there appears to be no reason why they cannot be assumed equal. Cost considerations impose size limits on the size of samples that can be obtained. If a 1 percent significance level is all that is allowed, what would be your recommendation based on the following random samples? The numbers represent percent yield of crude oil.

A 23.2, 26.6, 24.4, 23.5, 22.6, 25.7, 25.5 B 25.7, 27.7, 26.2,

A 23.2, 26.6, 24.4, 23.5, 22.6, 25.7, 25.5 B 25.7, 27.7, 26.2, 27.9, 25.0, 21.4, 26.1

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