Question

In: Statistics and Probability

Consider these 4 samples potentially drawn from 4 different populations. Sample #1) 25 19 14 21...

Consider these 4 samples potentially drawn from 4 different populations. Sample #1) 25 19 14 21 18 18 19 19 Sample #2) 25 15 22 20 15 20 16 20 20 16 20 11 Sample #3) 22 16 23 13 14 19 18 10 11 Sample #4) 12 11 13 10 25 19 Test the hypothesis using the samples.

assuming that a = 0.05

Ho: u2 = u3

Ha: u2 not equal to u3

Ho: sigma 2 < = to sigma 3

Ha: sigma 2 > sigma 3

Solutions

Expert Solution



Related Solutions

Consider these 4 samples potentially drawn from 4 different populations. Sample #1) 25 19 14 21...
Consider these 4 samples potentially drawn from 4 different populations. Sample #1) 25 19 14 21 18 18 19 19 Sample #2) 25 15 22 20 15 20 16 20 20 16 20 11 Sample #3) 22 16 23 13 14 19 18 10 11 Sample #4) 12 11 13 10 25 19 Test the hypothesis using the samples above. Assuming that a = 0.05 Ho: u1 = u2 Ha: u1 not equal to u2 Ho: u2 < = u3...
Two different simple random samples are drawn from two different populations. The first sample consists of...
Two different simple random samples are drawn from two different populations. The first sample consists of 20 people with 9 having a common attribute. The second sample consists of 2000 people with 1440 of them having the same common attribute. Compare the results from a hypothesis test of p 1equalsp 2 ​(with a 0.01 significance​ level) and a 99​% confidence interval estimate of p 1minusp 2. Identify the test statistic. Identify the critical​ value(s).
Two different simple random samples are drawn from two different populations. The first sample consists of...
Two different simple random samples are drawn from two different populations. The first sample consists of 40 people with 19 having a common attribute. The second sample consists of 2200 people with 1555 of them having the same common attribute. Compare the results from a hypothesis test of p 1=p 2 ​(with a 0.01 significance​ level) and a 99​% confidence interval estimate of p 1-p 2. Calculate the test statistic z to two decimal places, the critical values, and find...
Two different simple random samples are drawn from two different populations. The first sample consists of...
Two different simple random samples are drawn from two different populations. The first sample consists of 30 people with 14 having a common attribute. The second sample consists of 1900 people with 1370 of them having the same common attribute. Compare the results from a hypothesis test of p 1equalsp 2 ​(with a 0.01 significance​ level) and a 99​% confidence interval estimate of p 1minusp 2. What are the null and alternative hypotheses for the hypothesis​ test? A. Upper H...
10. Two different simple random samples are drawn from two different populations. The first sample consists...
10. Two different simple random samples are drawn from two different populations. The first sample consists of 40 people with 21 having a common attribute. The second sample consists of 1800 people with 1271 of them having the same common attribute. Compare the results from a hypothesis test of p 1=p  2 ​(with a 0.05 significance​ level) and a 95​% confidence interval estimate of p 1-p 2. What are the null and alternative hypotheses for the hypothesis​ test? A.H 0​: p...
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...
The following observations are from two independent random samples, drawn from normally distributed populations. Sample 1...
The following observations are from two independent random samples, drawn from normally distributed populations. Sample 1 [66.73, 66.8, 75.06, 58.09, 54.64, 52.83] Sample 2 [66.71, 68.17, 66.22, 66.8, 68.81] Test the null hypothesis H0:σ21=σ22 against the alternative hypothesis HA:σ21≠σ22. a) Using the larger sample variance in the numerator, calculate the F test statistic. Round your response to at least 3 decimal places.     b) The p-value falls within which one of the following ranges: p-value > 0.50 0.10 < p-value...
Two independent samples are drawn from two populations, and the following information is provided.                 Sample...
Two independent samples are drawn from two populations, and the following information is provided.                 Sample 1              Sample 2 n/x         34                           52                 55                           65 s              14                           18 We want to test the following hypotheses. H0: μ1 - μ2 ≥ 0 Ha: μ1 - μ2 < 0             Determine the degrees of freedom.             Compute the test statistic.              At the 5% level, test the hypotheses.
1. Consider the following results for independent samples taken from two populations. Sample 1 Sample 2...
1. Consider the following results for independent samples taken from two populations. Sample 1 Sample 2 n1 = 500 n2= 200 p1= 0.45 p2= 0.34 a. What is the point estimate of the difference between the two population proportions (to 2 decimals)? b. Develop a 90% confidence interval for the difference between the two population proportions (to 4 decimals). Use z-table. to c. Develop a 95% confidence interval for the difference between the two population proportions (to 4 decimals). Use...
Consider the following results for independent random samples taken from two populations.   Sample 1 Sample 2...
Consider the following results for independent random samples taken from two populations.   Sample 1 Sample 2 n1= 10 n2 =  40 x1= 22.3 x2= 20.3 s1= 2.5 s2 = 4.1 a. What is the point estimate of the difference between the two population means (to 1 decimal)?      b. What is the degrees of freedom for the  t distribution (round down)?      c. At 95% confidence, what is the margin of error (to 1 decimal)?      d. What is the 95% confidence...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT