no, we can not conclude that population variances differ.
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Random samples that are drawn independently from two normally distributed populations yielded the following statistics. Group...
Consider the following competing hypotheses and accompanying sample data drawn independently from normally distributed populations. (You may find it useful to reference the appropriate table: z table or t table) Ho: H1-Hu2 0 HA: H1 Hz< e 251 252 s1 39 s=19 n1=7 n 7 a-1. Calculate the value of the test statistic under the assumption that the population variances are equal. (Negative values should be indicated by a minus sign. Round all intermediate calculations to at least 4 decimal...
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...
Consider the following measures based on independently drawn samples from normally distributed populations: (You may find it useful to reference the appropriate table: chi-square table or F table) Sample 1: s21s12 = 221, and n1 = 16 Sample 2: s22s22 = 208, and n2 = 11 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...
Consider the following measures based on independently drawn samples from normally distributed populations Ợou may find it useful to reference the appropriate table: chi-square table or F table) Sample 1: s 221, and n1 - 16 Sample 2:s 208, and n2 11 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...
Consider the following summary statistics, calculated from two independent random samples taken from normally distributed populations. Sample 1 F1 = 22.49 11 = 2.54 P1 = 15 Sample 2 F2 = 27.31 3 = 3.08 P2 = 18 Test the null hypothesis HO : H1 = 2 against the alternative hypothesis HA: MI <H2 a) To save you on calculations, I will tell you that the standard error of the difference in sample means (SE(X_1 bar - X_2 bar)) is...
Independent random samples were selected from each of two normally distributed populations, n = 6 from population 1 and n2 = 5 from population 2. The data are shown in the table to the right. Complete parts a through c below. 4.7 4.6 1.6 2.3 1.2 3.8 0.6 3.9 C. Test Ho: 02202 against He:0; >o. Use a = 0.01. Determine the test statistic. F= (Round to two decimal places as needed.) Find the p-value. p= (Round to three decimal...
Consider the following competing hypotheses and accompanying sample data drawn independently from normally distributed populations. (You may find it useful to reference the appropriate table: z table or t table) H0: μ1 − μ2 ≥ 0HA: μ1 − μ2 < 0 x¯1x¯1= 249x−2x−2= 262s1 = 35s2 = 23n1 = 10n2 = 10a-1. Calculate the value of the test statistic under the assumption that the population variances are equal. (Negative values should be indicated by a minus sign. Round all intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) a-2. Find the p-value. multiple choice 1p-value < 0.010.01 ≤ p-value...
Consider the following summary statistics, calculated from two independent random samples taken from normally distributed populations. Sample 1 Sample 2 x¯1=20.92 x¯2=26.80 s21=2.89 s22=3.81 n1=19 n2=15 Test the null hypothesis H0:μ1=μ2against the alternative hypothesis HA:μ1<μ2. a) Calculate the test statistic for the Welch Approximate t procedure. Round your response to at least 3 decimal places. b) The Welch-Satterthwaite approximation to the degrees of freedom is given by df = 27.983055. Using this information, determine the range in which the p-value...
Consider the following summary statistics, calculated from two independent random samples taken from normally distributed populations. Sample 1 Sample 2 x¯1=20.08 x¯2=24.51 s21=2.05 s22=3.20 n1=19 n2=16 Test the null hypothesis H0:μ1=μ2against the alternative hypothesis HA:μ1<μ2. a) Calculate the test statistic for the Welch Approximate t procedure. Round your response to at least 3 decimal places. b) The Welch-Satterthwaite approximation to the degrees of freedom is given by df = 28.610808. Using this information, determine the range in which the p-value...
Consider the following summary statistics, calculated from two independent random samples taken from normally distributed populations. Sample 1 F1 = 23.65 = 2.50 p1 = 18 Sample 2 F2 = 25.62 = 3.28 p2 = 20 Test the null hypothesis Ho: P1 = r2 against the alternative hypothesis HA : H1 CH2 a) Calculate the test statistic for the Welch Approximate procedure. Round your response to at least 3 decimal places. Number b) The Welch-Satterthwaite approximation to the degrees of...