Suppose two independent random samples of sizes n1 = 9 and n2 = 7 that have...

Suppose two independent random samples of sizes n1 = 9 and n2 = 7 that have been taken from two normally distributed populations having variances σ12 and σ22 give sample variances of s12 = 94 and s22 = 13. (a) Test H0: σ12 = σ22 versus Ha: σ12 ≠ σ22 with σ = .05. What do you conclude? (Round your answers to 2 decimal places.) F = F.025 = H0:σ12 = σ22 (b) Test H0: σ12 < σ22versus Ha: σ12 > σ22 with σ = .05. What do you conclude? (Round your answers to 2 decimal places.) F = F.05 = H0: σ12 < σ22

Solutions

Expert Solution

milcah answered 8 months ago

Next > < Previous

Related Solutions

Suppose two independent random samples of sizes n1 = 9 and n2 = 7 that have...

Suppose two independent random samples of sizes n1 = 9 and n2 = 7 that have been taken from two normally distributed populations having variances σ12 and σ22 give sample variances of s12 = 117 and s22 = 19. (a) Test H0: σ12 = σ22 versus Ha: σ12 ≠ σ22 with σ = .05. What do you conclude? (Round your answers to 2 decimal places.) F = F.025 = H0:σ12 = σ22 (b) Test H0: σ12 < σ22versus Ha: σ12...

Independent random samples of sizes n1 = 307 and n2 = 309 were taken from two...

Independent random samples of sizes n1 = 307 and n2 = 309 were taken from two populations. In the first sample, 92 of the individuals met a certain criteria whereas in the second sample, 108 of the individuals met the same criteria. Test the null hypothesis H0:p1=p2versus the alternative hypothesis HA:p1<p2. a) Calculate the z test statistic, testing the null hypothesis that the population proportions are equal. Round your response to at least 3 decimal places. b) What is the...

Independent random samples of sizes n1 = 202 and n2 = 210 were taken from two...

Independent random samples of sizes n1 = 202 and n2 = 210 were taken from two populations. In the first sample, 170 of the individuals met a certain criteria whereas in the second sample, 178 of the individuals met the same criteria. Test the null hypothesis H0:p1=p2versus the alternative hypothesis HA:p1>p2. a) Calculate the z test statistic, testing the null hypothesis that the population proportions are equal. Round your response to at least 3 decimal places. b) What is the...

Q2) Independent random samples of sizes n1 = 208 and n2 = 209 were taken from...

Q2) Independent random samples of sizes n1 = 208 and n2 = 209 were taken from two populations. In the first sample, 172 of the individuals met a certain criteria whereas in the second sample, 181 of the individuals met the same criteria. Test the null hypothesis H0:p1=p2versus the alternative hypothesis HA:p1>p2. a) Calculate the z test statistic, testing the null hypothesis that the population proportions are equal. Round your response to at least 2 decimal places. b) What is...

(S 11.1) Random samples of sizes n1 = 404 and n2 = 310 were taken from...

(S 11.1) Random samples of sizes n1 = 404 and n2 = 310 were taken from two independent populations. In the first sample, 107 of the individuals met a certain criteria whereas in the second sample, 135 of the individuals met the same criteria. Run a 2PropZtest to test whether the proportions are different, and answer the following questions. What is the value of p?, the pooled sample proportion?Round your response to at least 3 decimal places. Calculate the z...

Given two independent random samples with the following results: n1 463 n2 295 p1 0.77 p2 ...

Given two independent random samples with the following results: n1 463 n2 295 p1 0.77 p2 0.89 Use this data to find the 99%99% confidence interval for the true difference between the population proportions. Step 1 of 3: Find the critical value that should be used in constructing the confidence interval. Step 2 of 3: Find the value of the standard error. Round your answer to three decimal places. Step 3 of 3: Construct the 99% confidence interval. Round your...

Consider two independent random samples with the following results: n1 =653 x1 =355 n2 =597 x2...

Consider two independent random samples with the following results: n1 =653 x1 =355 n2 =597 x2 =201 Use this data to find the 90% confidence interval for the true difference between the population proportions. Copy Data Step 1 of 3 : Find the point estimate that should be used in constructing the confidence interval. Round your answer to three decimal places.

Independent random samples of n1 = 700 and n2 = 520 observations were selected from binomial...

Independent random samples of n1 = 700 and n2 = 520 observations were selected from binomial populations 1 and 2, and x1 = 335 and x2 = 378 successes were observed. (a) Find a 90% confidence interval for the difference (p1 − p2) in the two population proportions. (Round your answers to three decimal places.)

Independent random samples of n1 = 800 and n2 = 670 observations were selected from binomial...

Independent random samples of n1 = 800 and n2 = 670 observations were selected from binomial populations 1 and 2, and x1 = 336 and x2 = 378 successes were observed. (a) Find a 90% confidence interval for the difference (p1 − p2) in the two population proportions. (Round your answers to three decimal places.) to (b) What assumptions must you make for the confidence interval to be valid? (Select all that apply.)nq̂ > 5 for samples from both populationssymmetrical...

1. Independent random samples of n1 = 200 and n2 = 200 observations were randomly selected...

1. Independent random samples of n1 = 200 and n2 = 200 observations were randomly selected from binomial populations 1 and 2, respectively. Sample 1 had 116 successes, and sample 2 had 122 successes. a) Calculate the standard error of the difference in the two sample proportions, (p̂1 − p̂2). Make sure to use the pooled estimate for the common value of p. (Round your answer to four decimal places.) b) Critical value approach: Find the rejection region when α...

Subjects