Consider the following data from two independent samples with equal population variances. Construct a 99% confidence interval to estimate the difference in population means. Assume the population variances are equal and that the populations are normally distributed. x1 = 68.6 x2 = 74.2 s1 = 12.2 s2 = 8.6 n1 = 11 n2 = 15 The 99% confidence interval is ,.
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2, s2 = 8.6, n1 = 11, n2 = 15 Calculate the pooled standard deviation using the formula: sp = sqrt(((n1 - 1) * s1^2 + (n2 - 1) * s2^2) / (n1 + n2 - 2)) sp = sqrt(((11 - 1) * 12.2^2 + (15 - 1) * 8.6^2) / (11 + 15 - 2)) sp = sqrt((10 * 148.84 + 14 * 73.96) / 24) sp Show more…
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Consider the following data from two independent samples with equal population variances. Construct a 90% confidence interval to estimate the difference in population means. Assume the population variances are equal and that the populations are normally distributed. x̄1 = 67.1, s1 = 12.6, n1 = 10 x̄2 = 74.5, s2 = 8.5, n2 = 14 The 90% confidence interval is (0.02, 14.78). (Round to two decimal places as needed.)
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Consider the following data from two independent samples with equal population variances. Construct a 95% confidence interval to estimate the difference in population means. Assume the population variances are equal and that the populations are normally distributed. x̄1 = 68.4, x̄2 = 74.5, s1 = 12.6, s2 = 8.2, n1 = 10, n2 = 15. The 95% confidence interval is ( , ). (Round to two decimal places as needed.)
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