13. If the populations are normally distributed and the population variances are equal but unknown, the tstatistic for testing the hypotheses about the difference between the two population means using samples of size 20 and 30 has a degree of freedom equal to ___. A. 48 B. 50 C. 19 D. 29
13. If the populations are normally distributed and the population variances are equal but unknown, the...
If we are testing the difference between the means of two normally distributed independent populations with samples of n1 = 10, n2 = 11, the degrees of freedom for the t statistic is ______. 19 9 8 18
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...
Two samples each of size 20 are taken from independent populations assumed to be normally distributed with equal variances. The first sample has a mean of 43.5 and a standard deviation of 4.1 while the second sample has a mean of 40.1 and a standard deviation of 3.2. A researcher would like to test if there is a difference between the population means at the 0.05 significance level. What can the researcher conclude? There is not sufficient evidence to reject...
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)
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
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...
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.
cnsider the following data rom wo populations are normally distributed. dependent samples th equal population var ances on struct a 9 % con der ce te val o es mate he dif rn ein po ulation means. Assume the popula on variances are equal and at the X1-36.42 S1-8.8 n1 #18 82 9.1 n2 19 ge 1 Click here to see the t distribution table page 2 The 90% confidence interval is( Round to two decimal places as needed.) DD
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...
For four populations, the population variances are assumed to be equal. Random samples from each population provide the following data. Population Sample Size Sample Mean Sample Variance 1 11 40 23.4 2 11 35 21.6 3 11 39 25.2 4 11 37 24.6 Using a .05 level of significance, test to see if the means for all four populations are the same.