Two random samples of 40 students were drawn independently from two populations of students. Assume their...

Two random samples of 40 students were drawn independently from two populations of students. Assume their aptitude tests are normally distributed (total points = 100). The following statistics regarding their scores in an aptitude test were obtained: xbar1= 76, s1 = 8, xbar2 = 72, and s2 = 6.5.
Test at the 5% significance level to determine whether we can infer that the two population means differ. (Note: You cannot necessarily assume that the populations have the same variances).

Please Solve manually.

Solutions

Expert Solution

orchestra answered 1 year ago

Next > < Previous

Related Solutions

Independent random samples, each containing 60 observations, were selected from two populations. The samples from populations...

Independent random samples, each containing 60 observations, were selected from two populations. The samples from populations 1 and 2 produced 37 and 30 successes, respectively. Test H0:(p1−p2)=0 against Ha:(p1−p2)≠0. Use α=0.05. (a) The test statistic is (b) The P-value is (c) The final conclusion is A. We can reject the null hypothesis that (p1−p2)=0 and conclude that (p1−p2)≠0. B. There is not sufficient evidence to reject the null hypothesis that (p1−p2)=0.

Independent random samples, each containing 60 observations, were selected from two populations. The samples from populations...

Independent random samples, each containing 60 observations, were selected from two populations. The samples from populations 1 and 2 produced 23 and 13 successes, respectively. Test H0:(p1−p2)=0H0:(p1−p2)=0 against Ha:(p1−p2)>0Ha:(p1−p2)>0. Use α=0.03α=0.03 (a) The test statistic is (b) The P-value is

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...

Independent random samples of 36 and 46 observations are drawn from two quantitative populations, 1 and...

Independent random samples of 36 and 46 observations are drawn from two quantitative populations, 1 and 2, respectively. The sample data summary is shown here. Sample 1 Sample 2 Sample Size 36 46 Sample Mean 1.29 1.32 Sample Variance 0.0590 0.0530 Do the data present sufficient evidence to indicate that the mean for population 1 is smaller than the mean for population 2? Use one of the two methods of testing presented in this section. (Round your answer to two...

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...

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...

Assume that the two samples are independent simple random samples selected from normally distributed populations. Do...

Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Refer to the accompanying data set. Use a 0.01 significance level to test the claim that the sample of home voltages and the sample of generator voltages are from populations with the same mean. If there is a statistically significant difference, does that difference have practical significance? Day Home (volts) Generator (volts) 1 123.7 ...

Assume that the two samples are independent simple random samples selected from normally distributed populations. Do...

Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Refer to the accompanying data set. Use a 0.05 significance level to test the claim that the sample of home voltages and the sample of generator voltages are from populations with the same mean. If there is a statistically significant difference, does that difference have practical significance? Day Home( volts) Generator( volts) Day Home (volts)...

Subjects