Two statistics teachers both believe that each has the smarter class. To put this to the test, they give the same final exam to their students. A summary of the class sizes, class means, and standard deviations is given below: ?1=41,?¯1=82.4, ?1=15.5 ?2=40,?¯2=84,?2=18n Is there evidence, at an ?=0.01 level of significance, to conclude that there is a difference in the two classes? (Assume that the population variances are equal.) Carry out an appropriate hypothesis test, filling in the information requested. Note: For the next part, your answer should use interval notation. An answer of the form (−∞,?)is expressed (-infty, a), an answer of the form (?,∞) is expressed (b, infty), and an answer of the form (−∞,?)∪(?,∞) is expressed (-infty, a)U(b, infty). B. The rejection region for the standardized test statistic:
Two statistics teachers both believe that each has the smarter class. To put this to the test, they give the same final exam to their students. A summary of the class sizes, class means, and standard deviations is given below:
Is there evidence, at an ?=0.01 level of significance, to conclude that there is a difference in the two classes? (Assume that the population variances are equal.) Carry out an appropriate hypothesis test, filling in the information requested.
Note: For the next part, your answer should use interval notation. An answer of the form (−∞,?)is expressed (-infty, a), an answer of the form (?,∞) is expressed (b, infty), and an answer of the form (−∞,?)∪(?,∞) is expressed (-infty, a)U(b, infty).
B. The rejection region for the standardized test statistic:
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