![[7 marks] Consider two independent populations. We took two SRS of sizes 10 from each population and x1 = 525.751, 52 = 107.1](http://img.homeworklib.com/questions/b8f313a0-efa9-11ea-b564-93c3ce0164ad.png?x-oss-process=image/resize,w_560)
Homework Answers
![P(t <3.808 ) = 0.9991 [using Excel function T.DIST(3.808,15,TRUE)] P-value = P(t> 3.808 ) = 1-P(t<3.808) = 1-0.9991 = 0.0009](http://img.homeworklib.com/questions/bb1c4960-efa9-11ea-972e-8fd1186f55b7.png?x-oss-process=image/resize,w_560)
That is , there is enough evidence to reject the null hypothesis.
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[7 marks] Consider two independent populations. We took two SRS...
4. [7 marks] Consider two independent populations. We took two SRS of sizes 10 from each...
4. [7 marks] Consider two independent populations. We took two SRS of sizes 10 from each population and X1 = 525.751, sı 107.121, X2 = 373.269 and s2 = 67.498 Is there enough evidence to reject the null hypothesis in the following test? (a = 1%) Ho: H1 - H2 = 0 Ha:Mi - H2> 0
4. [7 marks] Consider two independent populations. We took two SRS of sizes 10 from each...
4. [7 marks] Consider two independent populations. We took two SRS of sizes 10 from each population and x = 525.751, sı = 107.121, X2 = 373.269 and s2 = 67.498 Is there enough evidence to reject the null hypothesis in the following test? (a = 1%) H:H1 - H2 = 0 Ha: M1 - M2 > 0
4. [7 marks] Consider two independent populations. We took two SRS of sizes 10 from each...
4. [7 marks] Consider two independent populations. We took two SRS of sizes 10 from each population and x1 = 525.751, $ı = 107.121, x2 = 373.269 and s2 = 67.498 Is there enough evidence to reject the null hypothesis in the following test? (a = 1%) HO: H1 - H2 = 0 H:H - H2> 0 1
(1 point) In order to compare the means of two populations, independent random samples of 202...
(1 point) In order to compare the means of two populations, independent random samples of 202 observations are selected from each population, with the following results: Sample 1 Sample 2 x1 = 4 x2 = 1 $1 = 105 s2 = 150 (a) Use a 90 % confidence interval to estimate the difference between the population means (41-42). < (41 - M2) (b) Test the null hypothesis: Ho : (41 - H2) = 0 versus the alternative hypothesis: H:(W1 -...
(2 pts) Consider the test of the claims that the two samples described below come from...
(2 pts) Consider the test of the claims that the two samples described below come from two populations whose means are equal vs. the alternative that the population means are different. Assume that the samples are independent simple random samples and that both populations are approximately normal with equal variances. Use a significance level of α-0.01 Sample 1: ni - 17, x1- 21, s1 10 Sample 2: n2 -4, x2-29, s2 -5 (a) Degrees of freedom - (b) The test...
in order to compare the means of two populations, independent random samples of 400 observations are...
in order to compare the means of two populations, independent random samples of 400 observations are selected from each population with the results: sample 1: x1= 5275 and s1= 150 sample 2: x2= 5240 and s2 = 200 a. use a 95% confidence interval to estimate the difference between the population means (m1-m2) interpret the difference. b. test the null hypothesis (m1-m2 = 0) versus the alternative (m1-m2 isn't = to 0). give the p-value of the test and interpret...
The difference of two independent normally distributed random variables is also normally distributed. We have used...
The difference of two independent normally distributed random
variables is also normally distributed. We have used this fact in
many of our derivations. Now, consider two independent and normally
distributed populations with unknown variances σ 2 X and σ 2 Y . If
we get a random sample X1, X2, . . . , Xn from the first population
and a random sample Y1, Y2, . . . , Yn from the second population
(note that both samples are of...
(2 points) In order to compare the means of two populations, independent random samples of 49...
(2 points) In order to compare the means of two populations, independent random samples of 49 observations are selected from each population, with the following results: Sample 1 Sample 2 x = 1 *2 = 3 S = 195 140 s2 = (a) Use a 97 % confidence interval to estimate the difference between the population means (41 - H2). ( 4- 42) (b) Test the null hypothesis: H :(#1 - 12) = 0 versus the alternative hypothesis: H, :(...
Suppose we have taken independent, random samples of sizes n1 = 7 and n2 = 7...
Suppose we have taken independent, random samples of sizes n1 = 7 and n2 = 7 from two normally distributed populations having means μ1 and μ2, and suppose we obtain x1=240, x2=210, s1=5, and s2 = 6 Use critical values and p-values to test the null hypothesis H0: μ1 − μ2 ≤ 20 versus the alternative hypothesis Ha: μ1 − μ2 > 20 by setting α equal to .10. How much evidence is there that the difference between μ1 and...
(1 point) Test the claim that the two samples described below come from populations with the...
(1 point) Test the claim that the two samples described below come from populations with the same mean. Assume that the samples are independent simple random samples. Sample 1: n1 = 18, X1 = 20, $i = 5. Sample 2: n2 = 30, L2 = 15, S2 = 5. (a) The test statistic is (b) Find the t critical value for a significance level of 0.025 for an alternative hypothesis that the first population has a larger mean (one-sided test)....
4. [7 marks] Consider two independent populations. We took two SRS of sizes 10 from each population and X1 = 525.751, sı 107.121, X2 = 373.269 and s2 = 67.498 Is there enough evidence to reject the null hypothesis in the following test? (a = 1%) Ho: H1 - H2 = 0 Ha:Mi - H2> 0
4. [7 marks] Consider two independent populations. We took two SRS of sizes 10 from each population and x = 525.751, sı = 107.121, X2 = 373.269 and s2 = 67.498 Is there enough evidence to reject the null hypothesis in the following test? (a = 1%) H:H1 - H2 = 0 Ha: M1 - M2 > 0
4. [7 marks] Consider two independent populations. We took two SRS of sizes 10 from each population and x1 = 525.751, $ı = 107.121, x2 = 373.269 and s2 = 67.498 Is there enough evidence to reject the null hypothesis in the following test? (a = 1%) HO: H1 - H2 = 0 H:H - H2> 0 1
(1 point) In order to compare the means of two populations, independent random samples of 202 observations are selected from each population, with the following results: Sample 1 Sample 2 x1 = 4 x2 = 1 $1 = 105 s2 = 150 (a) Use a 90 % confidence interval to estimate the difference between the population means (41-42). < (41 - M2) (b) Test the null hypothesis: Ho : (41 - H2) = 0 versus the alternative hypothesis: H:(W1 -...
(2 pts) Consider the test of the claims that the two samples described below come from two populations whose means are equal vs. the alternative that the population means are different. Assume that the samples are independent simple random samples and that both populations are approximately normal with equal variances. Use a significance level of α-0.01 Sample 1: ni - 17, x1- 21, s1 10 Sample 2: n2 -4, x2-29, s2 -5 (a) Degrees of freedom - (b) The test...
The difference of two independent normally distributed random
variables is also normally distributed. We have used this fact in
many of our derivations. Now, consider two independent and normally
distributed populations with unknown variances σ 2 X and σ 2 Y . If
we get a random sample X1, X2, . . . , Xn from the first population
and a random sample Y1, Y2, . . . , Yn from the second population
(note that both samples are of...
(2 points) In order to compare the means of two populations, independent random samples of 49 observations are selected from each population, with the following results: Sample 1 Sample 2 x = 1 *2 = 3 S = 195 140 s2 = (a) Use a 97 % confidence interval to estimate the difference between the population means (41 - H2). ( 4- 42) (b) Test the null hypothesis: H :(#1 - 12) = 0 versus the alternative hypothesis: H, :(...
(1 point) Test the claim that the two samples described below come from populations with the same mean. Assume that the samples are independent simple random samples. Sample 1: n1 = 18, X1 = 20, $i = 5. Sample 2: n2 = 30, L2 = 15, S2 = 5. (a) The test statistic is (b) Find the t critical value for a significance level of 0.025 for an alternative hypothesis that the first population has a larger mean (one-sided test)....
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