Consider the following data drawn independently from normally distributed populations: (You may find it useful to...

Question

Question

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 = −25.8	x−2x−2 = −16.2
s₁² = 8.5	s₂² = 8.8
n₁ = 26	n₂ = 20

a. Construct the 99% 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 places.)

math Statistics-And-Probability

Add a comment Improve this question Transcribed image text

Answer 1

Answer #1

The statistical software output for this problem is :

The 99% confidence interval for the difference between the population means is :

(-11.95 , -7.25)

Add a comment

Answer 2

Similar Homework Help Questions

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 = 32.7 x−2x−2 = 25.4 σ12 = 95.5 σ22 = 91.0 n1 = 16 n2 = 21 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) *1 = -28.3 s12 = 8.7 ni = 22 X2 = -18.5 s 2 = 7.9 n2 = 16 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...
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 31.6x2 26.8 σ12-91.9 σ22-90.0 120 2-26 a. Construct the 99% confidence interval for the difference between the population means Negative values should be indicated b, a minus sign. Round all intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.) Confidence interval is to

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...
Consider the following measures based on independently drawn samples from normally distributed populations: (You may find...

Consider the following measures based on independently drawn samples from normally distributed populations: (You may find it useful to reference the appropriate table: chi-square table or F table) Sample 1: s21s12 = 221, and n1 = 16 Sample 2: s22s22 = 208, and n2 = 11 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...
Consider the following competing hypotheses and accompanying sample data drawn independently from normally distributed populations. (You...

Consider the following competing hypotheses and accompanying sample data drawn independently from normally distributed populations. (You may find it useful to reference the appropriate table: z table or t table) H0: μ1 − μ2 ≥ 0 HA: μ1 − μ2 < 0 x−1 x − 1 = 222 x−2 x − 2 = 253 s1 = 32 s2 = 26 n1 = 12 n2 = 12 a-1. Calculate the value of the test statistic under the assumption that the population...

Consider the following measures based on independently drawn samples from normally distributed populations Ợou may find...

Consider the following measures based on independently drawn samples from normally distributed populations Ợou may find it useful to reference the appropriate table: chi-square table or F table) Sample 1: s 221, and n1 - 16 Sample 2:s 208, and n2 11 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...
Return to question Consider the following data drawn independently from normally distributed populations: (You may find...

Return to question 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) X1 = 30.5 012 = 96.3 ni = 27. x2 = 24.7 022 = 93.1 n2 = 26 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...
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) X1 = 27.1 012 = 89.5 n1 = 25 X2 = 30.3 022 = 92.3 n2 = 31 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 competing hypotheses and accompanying sample data drawn independently from normally distributed populations. (You may find it useful to reference the appropriate table: z table or t table)

Consider the following competing hypotheses and accompanying sample data drawn independently from normally distributed populations. (You may find it useful to reference the appropriate table: z table or t table) H0: μ1 − μ2 = 0HA: μ1 − μ2 ≠ 0 x−1x−1 = 57x−2 = 63σ1 = 11.5σ2 = 15.2n1 = 20n2 = 20a-1. Calculate the value of the test statistic. (Negative values should be indicated by a minus sign. Round all intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)Test Statistic ?

Consider the following data drawn independently from normally distributed populations: (You may find it useful to...

Homework Answers

Add Answer to:
Consider the following data drawn independently from normally distributed populations: (You may find it useful to...

Post as a guest

Earn Coins