Question

In: Statistics and Probability

Consider the following data drawn independently from normally distributed populations: Use Table 1. x−1 = 34.3...

Consider the following data drawn independently from normally distributed populations: Use Table 1. x−1 = 34.3 x−2 = 26.0 σ12 = 89.5 σ22 = 92.8 n1 = 21 n2 = 26 Construct the 99% confidence interval for the difference between the population means.

Solutions

Expert Solution

99% confidence interval for 1 - 2 is

(1 - 2) - Z * sqrt( 1 / n1 + 2/ n2) < 1 - 2 < (1 - 2) + Z * sqrt( 1 / n1 + 2/ n2)

(34.3-26) - 2.576 * sqrt ( 89.5 / 21 + 92.8 / 26) < 1 - 2 < (34.3-26) + 2.576 * sqrt ( 89.5 / 21 + 92.8 / 26)

1.0913 < 1 - 2 < 15.5087

99% CI is ( 1.0913 , 15.5087 )

orchestra answered 3 years ago
Next > < Previous

Related Solutions

Consider the following data drawn independently from normally distributed populations: Use Table 1.      x−1x−1 =...
Consider the following data drawn independently from normally distributed populations: Use Table 1.      x−1x−1 = 32.6 x−2x−2 = 27.8   σ12 = 89.5 σ22 = 93.4   n1 = 25 n2 = 22     a. Construct the 90% confidence interval for the difference between the population means. (Negative values should be indicated by a minus sign. Round all intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.)      Confidence interval is  to .      b. Specify...
Consider the following measures based on independently drawn samples from normally distributed populations: Use Table 4....
Consider the following measures based on independently drawn samples from normally distributed populations: Use Table 4. Sample 1: 1formula81.mml = 249, and n1 = 51 Sample 2: 1formula82.mml = 236, and n2 = 26 a. Construct the 95% interval estimate for the ratio of the population variances. (Round "F" value and final answers to 2 decimal places.) Confidence interval _____ to _____ b. Using the confidence interval from Part a, test if the ratio of the population variances differs from...
Consider the following competing hypotheses and accompanying sample data drawn independently from normally distributed populations. Use...
Consider the following competing hypotheses and accompanying sample data drawn independently from normally distributed populations. Use Table 2. H0: μ1 − μ2 ≥ 0 HA: μ1 − μ2 < 0 x−1 = 256 x−2 = 269 s1 = 37 s2 = 15 n1 = 9 n2 = 9 a-1. Calculate the value of the test statistic under the assumption that the population variances are unknown but equal. (Negative values should be indicated by a minus sign. Round all intermediate calculations...
Consider the following data drawn independently from normally distributed populations: (You may find it useful to...
Consider the following data drawn independently from normally distributed populations: (You may find it useful to reference the appropriate table: z table or t table) x−1x−1 = −17.1 x−2x−2 = −16.0 s12 = 8.4 s22 = 8.7 n1 = 22 n2 = 24 a. Construct the 90% confidence interval for the difference between the population means. Assume the population variances are unknown but equal. (Round all intermediate calculations to at least 4 decimal places and final answers to 2 decimal...
Consider the following data drawn independently from normally distributed populations: (You may find it useful to...
Consider the following data drawn independently from normally distributed populations: (You may find it useful to reference the appropriate table: z table or t table) x−1x−1 = 30.9 x−2x−2 = 25.9 σ12 = 93.5 σ22 = 96.0 n1 = 30 n2 = 25 a. Construct the 90% confidence interval for the difference between the population means. (Negative values should be indicated by a minus sign. Round all intermediate calculations to at least 4 decimal places and final answers to 2...
Consider the following data drawn independently from normally distributed populations: (You may find it useful to...
Consider the following data drawn independently from normally distributed populations: (You may find it useful to reference the appropriate table: z table or t table) x−1 = 24.7 x−2 = 29.6 σ= 95.4 σ = 93.2 n1 = 29 n2 = 27 a. Construct the 95% confidence interval for the difference between the population means. (Negative values should be indicated by a minus sign. Round all intermediate calculations to at least 4 decimal places and final answers to 2 decimal...
Consider the following data drawn independently from normally distributed populations: (You may find it useful to...
Consider the following data drawn independently from normally distributed populations: (You may find it useful to reference the appropriate table: z table or t table)   x−1x−1 = 23.1   x−2x−2 = 24.7 σ12 = 96.3 σ22 = 93.1 n1 = 33 n2 = 34 a. Construct the 95% confidence interval for the difference between the population means. (Negative values should be indicated by a minus sign. Round all intermediate calculations to at least 4 decimal places and final answers to 2...
Consider the following data drawn independently from normally distributed populations: (You may find it useful to...
Consider the following data drawn independently from normally distributed populations: (You may find it useful to reference the appropriate table: z table or t table) x−1x−1 = −17.7 x−2x−2 = −16.4 s12 = 8.0 s22 = 8.4 n1 = 20 n2 = 29 a. Construct the 95% confidence interval for the difference between the population means. Assume the population variances are unknown but equal. (Round all intermediate calculations to at least 4 decimal places and final answers to 2 decimal...
Consider the following data drawn independently from normally distributed populations: (You may find it useful to...
Consider the following data drawn independently from normally distributed populations: (You may find it useful to reference the appropriate table: z table or t table) x−1x−1 = 24.0 x−2x−2 = 29.3 σ12 = 90.4 σ22 = 90.5 n1 = 32 n2 = 32 a. Construct the 99% confidence interval for the difference between the population means. (Negative values should be indicated by a minus sign. Round all intermediate calculations to at least 4 decimal places and final answers to 2...
Consider the following data drawn independently from normally distributed populations: (You may find it useful to...
Consider the following data drawn independently from normally distributed populations: (You may find it useful to reference the appropriate table: z table or t table) x−1x−1 = 27.7 x−2x−2 = 30.1 σ12 = 92.8 σ22 = 87.5 n1 = 24 n2 = 33 a. Construct the 99% confidence interval for the difference between the population means. (Negative values should be indicated by a minus sign. Round all intermediate calculations to at least 4 decimal places and final answers to 2...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT