Solution :
P-value = 0.073
P-value > 0.05
Fail to reject the null hypothesis .
9.2.12-T Independent random samples selected from two normal populations produced the sample moans and standard deviations...
Independent random samples selected from two normal populations produced the sample means and standard deviations shown to the right. a. Assuming equal variances, conduct the test Ho (H1-H2) = 0 against Hy: (H1-H2) #0 using a = 0.10. b. Find and interpret the 90% confidence interval for (H1-H2) Sample 1 Sample 2 ny - 18 ng - 11 X2 7.8 X = 5.6 Sy = 3.1 82 4.7 a. Find the test statistic, The test statistic is (Round to two...
Independent random samples selected from two normal populations produced the sample means and standard dev atons shown to the right. a. Assuming equal variances, conduct the test Ho: (μι-μ2)-U against Ha: μι-μ2) #0 using α .10. b. Find and interpret the 90% confidence interval for(μ1-μ2) Sample 1 Sample 2 x1 59 x2-7.9 13 2-4.8 a. Find the trst statistic. The test statistic is Round to two decimal places as needed.) ind the p vaue. The p-value is Round to three...
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...
Independent random samples selected from two normal populations produced the sample means and standard deviations shown to the right. a. Assuming equal variances, conduct the test Ho ??-?2):0 against Ha : (??-?2)#0 using ?:010. b. Find and interpret the 90% confidence interval for ( 1- 2)- Sample 1 Sample 2 n1 18 n2 13 x1-5.2 x27.7 s1 3.7 s2 4.3 a. Find the test statistic. The test statistic is (Round to two decimal places as needed.)
A random sample of 100 observations from a population with standard deviation 76 yielded a sample mean of 114. Complete parts a through c below. a. Test the null hypothesis that u = 100 against the alternative hypothesis that u > 100, using a = 0.05. Interpret the results of the test. What is the value of the test statistic? und to two decimal places as needed.) Find the p-value. p-value = (Round to three decimal places as needed.) State...
Independent random samples were selected from two quantitative populations, with sample sizes, means, and variances given below. Sample Size Sample Mean Sample Variance Population 1 2 34 45 9.8 7.5 10.83 16.49 State the null and alternative hypotheses used to test for a difference in the two population means. O Ho: (41 - H2) = 0 versus Ha: (41 - M2) > 0 Ho: (41 – 12) # O versus Ha: (H1 - H2) = 0 HO: (41 – My)...
Sample 1 Sample 2 n1 = 15 n2 = 13 x1 =54 x2 = s1 =39 77 s2=46 Independent random samples selected from two normal populations produced the sample means and standard deviations shown to the right a. Assuming equal vanances, conduct the test Ho (μι-μ2) 0 against H. (m-H2)" 0 using α 0 05 b. Find and interpret the 95% confidence interval for (P:- a. Find the test statistic The test statistic is Round to two decimal places as...
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 selected from two normal populations produced the sample means and standard deviations shown to the right. a) Assuming equal variances, conduct the test Ho: (u1-u2)=0 against Ha: (u1-u2)=/=0 using a=0.05 b) Find and interpret the 95% confidence interval for (u1-u2) Sample1: n1=17, x1=5.9, s1=3.8 Sample2: n2=10, x1=7.3, s2=4.8
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...