a).the correct option is:
p value>0.2 [option D]
since,here p value is 0.805
b).fail to reject the null hypothesis and conclude that the mean of sample 1 is not significantly different from the mean of sample 2.
****INTERPRETATION OF PROBLEM IS GIVEN BELOW:
The following information was obtained from independent random samples. Assume normally populations with equal Sample 1...
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.
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...
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...
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...
Test the indicated claim about the means of two populations. 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. Use the traditional method or P-value method as indicated. A researcher was interested in comparing the response times of two different cab companies. Companies A and B were each called at 50 randomly selected times. The calls to company A were made independently of the...
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...
A random sample of leading companies in South Korea gave the following percentage yields based on assets. 2.1 2.3 4.2 1.9 0.5 3.6 2.4 0.2 1.7 1.8 1.4 5.4 1.1 Use a calculator to verify that s2 ≈ 2.125 for these South Korean companies. Another random sample of leading companies in Sweden gave the following percentage yields based on assets. 2.2 3.8 3.9 1.1 3.9 2.8 2.3 3.5 2.8 Use a calculator to verify that s2 ≈ 0.909 for these...
come from populations (1 point) Test t mean. Assume that the samples are independent simple random samples. Use a significance level of a 0.01 Sample 1: n1 15, 1-28.4, 81-6.07 Sample 2: n2 10, 2 22, 82 8.92 (a) The degree of freedom is (b) The standardized test statistic is (c) The final conclusion is O A. We can reject the null hypothesis that (14-Ha) 0 and accept that (M1-μ2) 0 B. There is not sufficient evidence to reject the...