10.
n1 = 10 and n2 = 10
Degrees of freedom = n2-1
DF = 10-1 = 9
11.
n1 = 10 and n2 = 10
Degrees of freedom = n1+n2-2
DF = 10+10-2 = 18
10. If we are doing two-sample hypothesis testing with related samples of sizes n1 = 10...
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
If we are testing the hypothesis about the mean of a population of paired differences with samples of n1 = 10, n2 = 10, the degrees of freedom for the t statistic is ____. 19 18 9 8 10
Suppose we have taken independent, random samples of sizes n1 = 7 and n2 = 7 from two normally distributed populations having means μ1 and μ2, and suppose we obtain x1=240, x2=210, s1=5, and s2 = 6 Use critical values and p-values to test the null hypothesis H0: μ1 − μ2 ≤ 20 versus the alternative hypothesis Ha: μ1 − μ2 > 20 by setting α equal to .10. How much evidence is there that the difference between μ1 and...
the following results for independent random samples taken from two populations. Sample 1 Sample 2 n1-10 n2-30 x1-22.5 x2 20.6 S1-2.5 S2 4.9 a, What is the point estimate of the difference between the two population means (to 1 decimal)? b. What is the degrees of freedom for the t distribution (round down your answer to nearest whole number)? c. At 95% confidence, what is the margin of error (to 1 decimal)? d. What is the 95% confidence interval for...
1) Consider two independent random samples of sizes n1 = 14 and n2 = 14, taken from two normally distributed populations. The sample standard deviations are calculated to be s1= 1.98 and s2 = 5.71, and the sample means are x¯1=-10.2and x¯2=-2.34, respectively. Using this information, test the null hypothesis H0:μ1=μ2against the one-sided alternative HA:μ1<μ2, using Welch's 2-sample t Procedure for independent samples. a) Calculate the value for the t test statistic. Round your response to at least 2 decimal...
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...
Two random samples are selected from two independent populations. A summary of the samples sizes, sample means, and sample standard deviations is given below: n1=51, n2=46, x¯1=57.8, x¯2=75.3, s1=5.2 s2=11 Find a 94.5% confidence interval for the difference μ1−μ2μ1−μ2 of the means, assuming equal population variances. Confidence Interval =
(1 point) Test the claim that the two samples described below come from populations with the same mean. Assume that the samples are independent simple random samples. Sample 1: n1 = 18, X1 = 20, $i = 5. Sample 2: n2 = 30, L2 = 15, S2 = 5. (a) The test statistic is (b) Find the t critical value for a significance level of 0.025 for an alternative hypothesis that the first population has a larger mean (one-sided test)....
9. For each of the following calculated t-values and sample sizes, indicate the degrees of freedom and whether you should reject or not reject the null hypothesis (if you reject Ho, indicate whether it is at the .05 or .01 significance level). Conduct each of these t-tests using a two-tailed hypothesis. a. t = +2.18 ni = 5 n2 = 5 b. t= -2.05 n1 = 12 n2 = 10 c. t = -2.18 n = 15 n2 = 15...
Suppose that independent samples of sizes n1, n2, . . . , nk are taken from each of k normally distributed populations with means μ1,μ2, . . . , μk and common variances, all equal to σ 2. Let Yi j denote the j th observation from population i, for j = 1, 2, . . . , ni and i = 1, 2, . . . , k, and let n = n1 + n2 + ··· + nk...