Mr. Lange draws two independent random samples from normally-distributed popula- tions with unknown population means and unknown population vari- ances. The first sample is found to have x = 78, s21 = 25, and n = 10; while the second sample is found to have y = 74, s2 = 9, and n = 16. Mr. Lange wishes to use Welch’s T Test to determine whether there is enough evidence to conclude the population means differ. Answer the following questions. (a) State the competing theories of this test. (b) Are the requirements for Welch’s T Test met? If not, explain why. (c) Compute the T statistic for Welch’s T Test. Round your answer to three decimal places. (d) What distribution does the T statistic have? (e) Compute α0 as discussed in class. What conclusion can you draw?
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Mr. Lange draws two independent random samples from normally-distributed popula- tions with unknown population means and unknown population vari- ances. The first sample is found to have x = 78, s21 = 25, and n = 10; while the second sample is found to have y = 74, s2 = 9, and n = 16.
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Mr. Lange wishes to use Welch’s T Test to determine whether there is enough evidence to conclude the population means differ. Answer the following questions.
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(a) State the competing theories of this test.
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(b) Are the requirements for Welch’s T Test met? If not, explain why.
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(c) Compute the T statistic for Welch’s T Test. Round your answer to three decimal places.
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(d) What distribution does the T statistic have?
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(e) Compute α0 as discussed in class. What conclusion can you draw?
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