Consider the following hypothesis test. Ho:μ1-μ2=0 Hα:μ1-μ2 #0 The following results are from independent samples taken from two populations sample1 sample 2 n1-35 n2=40 x1=13.6 x2=10.1 s1=5.2 s2=8.5 a.What is the value of the test statistic?
b.What is the value of the degrees of freedom for the distribution?
c.What is the p-value? d.At α=.05, what is your conclusion?
Consider the following hypothesis test. Ho:μ1-μ2=0 Hα:μ1-μ2 #0 The following results are from independent samples taken...
Consider the following hypothesis test. H0: μ1 − μ2 = 0 Ha: μ1 − μ2 ≠ 0 The following results are from independent samples taken from two populations. Sample 1 Sample 2 n1 = 35 n2 = 40 x1 = 13.6 x2 = 10.1 s1 = 5.9 s2 = 8.5 (a) What is the value of the test statistic? (Use x1 − x2. Round your answer to three decimal places.) (b) What is the degrees of freedom for the t...
Find the degrees of freedom, df to test the hypothesis that μ1 > μ2. Two samples are randomly selected and come from populations that are normal. The sample statistics are given below. n1 = 40 n2 = 40 x1= 63.0 x2= 61.5 s1 = 15.8 s2 = 29.7 Round your answer DOWN to the nearest integer.
You wish to test the following claim (HaHa) at a significance level of α=0.001α=0.001. Ho:μ1=μ2Ho:μ1=μ2 Ha:μ1<μ2Ha:μ1<μ2 You believe both populations are normally distributed, but you do not know the standard deviations for either. And you have no reason to believe the variances of the two populations are equal You obtain a sample of size n1=24n1=24 with a mean of ¯x1=71.1x¯1=71.1 and a standard deviation of s1=18.6s1=18.6 from the first population. You obtain a sample of size n2=25n2=25 with a mean...
Consider the following hypothesis test. H₀: μ₁-μ₂=0Ha: μ₁-μ₂ ≠ 0The following results are from independent samples taken from two populations. Sample 1 Sample 2n1 = 35n2 = 40x̅1 = 13.6x̅2 = 10.1s1 = 5.5s2 = 8.6a. What is the value of the test statistic (to 2 decimals)? b. What is the degrees of freedom for the t distribution (to 1 decimal)?
You may need to use the appropriate technology to answer this question. Consider the following hypothesis test. H0: μ1 − μ2 = 0 Ha: μ1 − μ2 ≠ 0 The following results are from independent samples taken from two populations. Sample 1 Sample 2 n1 = 35 n2 = 40 x1 = 13.6 x2 = 10.1 s1 = 5.4 s2 = 8.1 (a) What is the value of the test statistic? (Use x1 − x2. Round your answer to three...
Find the critical value to test the claim that μ1 < μ2. Two samples are random, independent, and come from populations that are normal. The sample statistics are given below. Assume that σ 2/1= σ2/2. Use α = 0.05. n1 = 15 n2 = 15 x1 = 25.74 x2 = 28.29 s1 = 2.9 s2 = 2.8
Consider the following hypothesis test. H0: μ1 − μ2 = 0 Ha: μ1 − μ2 ≠ 0 The following results are for two independent samples taken from the two populations. Sample 1 Sample 2 n1 = 80 n2 = 70 x1 = 104 x2 = 106 σ1 = 8.4 σ2 = 7.2 (a) What is the value of the test statistic? (Round your answer to two decimal places.) (b) What is the p-value? (Round your answer to four decimal places.)...
Find the critical values, t0, to test the claim that μ1 = μ2. Two samples are random, independent, and come from populations that are normal. The sample statistics are given below. Assume that σ 2 1 ≠ σ 2 2 . Use α = 0.05. n1 = 32 n2 = 30 x1 = 16 x2 = 14 s1 = 1.5 s2 = 1.9
Find the standardized test statistic, t, to test the claim that μ1 < μ2. Two samples are random, independent, and come from populations that are normally distributed. The sample statistics are given below. Assume that two populations' variance is the same (σ21= σ22). n1 = 15 n2 = 15 x1 = 25.76 x2 = 28.31 s1 = 2.9 s2 = 2.8
10.2 Practice Exercise 10.10 (Self-Test) Algorithmic Video Consider the following hypothesis test The following results are from independent samples taken from two populations Sample 1 n1 35 X 113.6 S1 5.1 a. What is the value of the test statistic (to 2 decimals)? Sample 2 n 240 X 210.1 S2 8.5 2.19 b. What is the degrees of freedom for the t distribution? (Round down your answer to the whole number) 34 c. What is the p-value? Use z-table The...