Question

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: μ1μ2 ≥ 0
HA: μ1μ2 < 0

x−1x−1 = 246 x−2x−2 = 250
s1 = 26 s2 = 22
n1 = 8 n2 = 8


a-1. Calculate the value of the test statistic under the assumption that the population variances are equal. (Negative values should be indicated by a minus sign. Round all intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.)

b-1. Calculate the value of the test statistic under the assumption that the population variances are unknown and are not equal. (Negative values should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.)

Homework Answers

Answer #1

The statistical software output for this problem is :

(a-1)

Test statistics = -0.332

(b-1)

Test statistics = -0.332

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
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−1x−1 = 232 x−2x−2 = 259 s1 = 30 s2 = 20 n1 = 6 n2 = 6 a-1. Calculate the value of the test statistic under the assumption that the population variances are equal. (Negative values should...
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−1x−1 = 75 x−2x−2 = 79 σ1 = 11.10 σ2 = 1.67 n1 = 20 n2 = 20 a-1. Calculate the value of the test statistic. (Negative values should be indicated by a minus sign. Round all intermediate...
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−1x−1 = 57 x−2x−2 = 63 σ1 = 11.5 σ2 = 15.2 n1 = 20 n2 = 20 a-1. Calculate the value of the test statistic. (Negative values should be indicated by a minus sign. Round all intermediate...
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−1x−1 = 68 x−2x−2 = 80 σ1 = 12.30 σ2 = 1.68 n1 = 15 n2 = 15 a-1. Calculate the value of the test statistic. (Negative values should be indicated by a minus sign. Round all intermediate...
Consider the following competing hypotheses and accompanying sample data drawn independently from normally distributed populations. (Note:...
Consider the following competing hypotheses and accompanying sample data drawn independently from normally distributed populations. (Note: the automated question following this one will ask you confidence interval questions for this same data, so jot down your work.) H0: μ1 − μ2 = 0 HA: μ1 − μ2 ≠ 0    x−1x−1 = 74 x−2x−2 = 65   σ1 = 1.57 σ2 = 14.10   n1 = 19 n2 = 19 a-1. Calculate the value of the test statistic. (Negative values should be indicated...
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−1x−1 = 267 x−2x−2 = 295 s1 = 37 s2 = 31 n1 = 11 n2 = 11 Test Statistics:
Consider the following sample data drawn independently from normally distributed populations with equal population variances. Use...
Consider the following sample data drawn independently from normally distributed populations with equal population variances. Use Table 2. Sample 1 Sample 2 11.0 9.3 10.8 11.9 7.3 12.5 12.5 11.4 10.6 9.7 9.8 10.0 7.2 12.6 10.5 12.7 Click here for the Excel Data File a. Construct the relevant hypotheses to test if the mean of the second population is greater than the mean of the first population. H0: μ1 − μ2 = 0; HA: μ1 − μ2 ≠ 0...
Consider the following sample data drawn independently from normally distributed populations with equal population variances. Sample...
Consider the following sample data drawn independently from normally distributed populations with equal population variances. Sample 1 Sample 2 11.2 11.4 11.5 12.1 7.7 12.7 10.7 10.2 10.2 10.2 9.1 9.9 9.3 10.9 11.6 12.7 a. Construct the relevant hypotheses to test if the mean of the second population is greater than the mean of the first population. a) H0: μ1 − μ2 = 0; HA: μ1 − μ2 ≠ 0 b) H0: μ1 − μ2 ≥ 0; HA: μ1...
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 = 28.5 x−2x−2 = 29.8 σ12 = 96.9 σ22 = 87.0 n1 = 29 n2 = 25 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 = 29.8 x−2x−2 = 32.4 σ12 = 95.3 σ22 = 91.6 n1 = 34 n2 = 29 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
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT