In a sample of 1000 mangoes, the mean weight is 210 g with standard deviation 9.5 g. In another sample of 1200 mangoes, the mean is 180 g with standard deviation 11.5 g. Assuming equal population variances and , it is true that:
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In a sample of 1000 mangoes, the mean weight is 210 g with standard deviation 9.5 g. In another sample of 1200 mangoes, the mean is 180 g with standard deviation 11.5 g. Assuming equal population variances and H₀:μ₁-μ₂=0, it is true that: (A) If H_A:μ₁-μ₂≠ 0, we reject the null hypothesis at the 15%, 13%, 12% and 8% levels of significance. (B) If H_A:μ₁-μ₂≠ 0, we do not reject the null hypothesis at the 1% level of significance. (C) The appropriate estimator for testing whether the samples are from essentially the same population is μ₁-μ₂. (D) If H_A:μ₁-μ₂≠ 0, and we conduct a test at the 7% level of significance, the probability of type I error of this test is 0.035.
Also written as: In a sample of 1000 mangoes, the mean weight is 210 g with standard deviation 9.5 g. In another sample of 1200 mangoes, the mean is 180 g with standard deviation 11.5 g. Assuming equal population variances and H_0:mu_1-mu_2=0, it is true that:
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This question is on Tests for means, proportions and variances, part of Hypothesis testing in Statistics.
Applying z, t, F and chi-square tests to common problems.
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Question from the DSE 2008 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.