The following information was obtained from independent random samples. Assume normally distributed populations with equal variances. Sample 1 Sample 2 Sample Size 10 12 Sample Mean 52 51 Sample Variance 85 90 We are interested in testing H0: μSample 1 - μSample 2 = 0 Ha: μSample 1 - μSample 2 ≠ 0 Step 1 of 3: What is the value of the test statistic? Round your answer to four decimal places.
The pooled estimator of the sample variance
=87.75
The pooled estimator of the sample standard
deviation=9.37
T test formula for mean difference.(Variances unknown and
equal)
=0.2493
Therefore, the value of the test statistic =0.2493
The following information was obtained from independent random samples. Assume normally distributed populations with equal variances....
The following information was obtained from independent random samples. Assume normally populations with equal Sample 1 Sample 2 12 Sample Size 10 Sample Mean 52 Sample Variance 85 We are interested in testing Hai sample 1 -Hsample 2 0 Step 2 of 3: Determine the p-value for the test. TablesKeypad Answer 1 Point Next Prev O p-value c 0.025 0.025< p-value <0.05 Op-value <0.1 。p-value > 0.2 None of the above o 2019 8 3 of 3 The following information...
The following five independent random samples are obtained from five normally distributed populations with equal variances. The dependent variable is the number of bank transactions in 1 month, and the groups are five different banks. Group 1 Group 2 Group 3 Group 4 Group 5 16 16 2 5 7 5 10 9 8 12 11 7 11 1 14 23 12 13 5 16 18 7 10 8 11 12 4 13 11 9 12 23 9 9 19...
The following observations are from two independent random samples, drawn from normally distributed populations. Sample 1 9.74, 9.04, 8.06, 6.09, 7.51 Sample 2 |[25.96, 26,27, 26,34, 39.09, 33.88, 28.87, 33.46] We are interested in testing the null hypothesis that the two population variances are equal, against the one-sided alternative that the variance of Population 1 is larger than the variance of Population 2. Define Population 1 to be the population with the larger sample variance a) What are the appropriate...
The following three independent random samples are obtained from three normally distributed populations with equal variance. The dependent variable is starting hourly wage, and the groups are the types of position (internship, co-op, work study). Group 1: Internship Group 2: Co-op Group 3: Work Study 13.25 12.75 14.25 13.5 11.5 11.75 14.5 14.75 12.5 11.5 9.25 13.75 16 11 12.5 14.5 12.75 12.5 12.25 11 12 Use technology to conduct a one-factor ANOVA to determine if the group means are...
The information below is based on independent random samples taken from two normally distributed populations having equal variances. Based on the sample information, determine the 90% confidence interval estimate for the difference between the two population means. n1 = 17 x1 44 n2 13 x2 = 49 The 90% confidence interval is s(uI-12) (Round to two decimal places as needed.) «D
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...
The information below is based on independent random samples taken from two normally distributed populations having equal variances. Based on the sample information, determine the 95% confidence interval estimate for the difference between the two population means. n1 14 x145 n2 13 2 47 The 95% confidence interval is s (μ1-12) s Round to two decimal places as needed)
Independent random samples were selected from two normally distributed populations. Given n1 =7 from population 1 and n2=9 from population 2. Population 1: 2.5, 3.1, 2.3, 1.8, 4.2, 3.5, 3.9 Population 2: 2.9, 1.7, 4.6, 3.5, 3.7, 2.8, 4.6, 3.4, 1.9 Find the test statistic for H0 = σ2 = σ2 against HA = σ2 ≠σ2
Please show your steps, thanks. The two samples below are independent from Normal populations with equal variances. Sample 1: Sample 2 18 13 381 8,289 4,471 t(x^2)= Question 2A Does the data indicate μ12μ2 at α-0.05?State the hypothesis in terms of 1-2. Step t H0: Ha: Step 2: Step 3 Fill in row 88 if the hypothesis is one tailed. Reject H0 i Fill in row 92 if the hypothesis is two tailed. The smaller number must be typed first....
10-66. Consider the following set of samples obtained from two normally distributed populations whose variances are equal: Sample 1: 11.2 11.2 7.4 8.7 8.5 13.5 4.5 11.9 Sample 2: 11.7 9.5 15.6 16.5 11.3 17.6 17.0 8.5 a. Suppose that the samples were independent. Perform a test of hypothesis to determine if there is a difference in the two population means. Use a significance level of 0.05. MyStatLab b. Now suppose that the samples were paired samples. Perform a test...