For a correlated groups t test, the null hypothesis states that _____.
H0: μ1 - μ2 = 0 |
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H0: μ1 - μ2 > 0 |
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Ha: μ1 - μ2 = 0 |
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Ha: μ1 - μ2 = 0 |
In corrolated groups t test hypothesis states that there is no difference between population means.
That is H0: 1 = 2
It also expressed as
H0: 1 - 2 = 0
For a correlated groups t test, the null hypothesis states that _____. H0: μ1 - μ2...
3) Use critical values to test the null hypothesis H0: μ1 − μ2 = 20 versus the alternative hypothesis Ha: μ1 − μ2 ≠ 20 by setting α equal to .05. How much evidence is there that the difference between μ1 and μ2 is not equal to 20?
2) 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 μ2 exceeds 20?
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.)...
Given H0: μ1 = μ2 and Ha: μ1 ≠ μ2, determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. Group of answer choices right-tailed left-tailed two-tailed
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...
The null and alternate hypotheses are: H0 : μ1 = μ2 H1 : μ1 ≠ μ2 A random sample of 8 observations from Population 1 revealed a sample mean of 25 and sample deviation of 4.5. A random sample of 8 observations from Population 2 revealed a sample mean of 26 and sample standard deviation of 3.5. The underlying population standard deviations are unknown but are assumed to be equal. At the .05 significance level, is there a difference between...
Consider the hypothesis test H0: μ1 = μ2 against H1: μ1 > μ2 with known variances σ1=10 and σ2=5. Suppose that sample sizes n1=10 and n2=15 and that x-bar1 = 24.5 and x-bar2 = 21.3. Use alpha = .01. Determine the confidence interval. a) =0 b) ≥2.78 c) ≥3.04 d) ≥-4.74
Suppose H0:μ1 = μ2 is being tested against Ha: μ1 ≠ μ2. If ts=3.75 with 19 degrees of freedom, at α=0.01, what can we say about the null hypothesis?
The null and alternate hypotheses are: H0 : μ1 = μ2 H1 : μ1 ≠ μ2 A random sample of 11 observations from Population 1 revealed a sample mean of 21 and sample deviation of 3.5. A random sample of 7 observations from Population 2 revealed a sample mean of 23 and sample standard deviation of 3.8. The underlying population standard deviations are unknown but are assumed to be equal. At the .05 significance level, is there a...
40. In testing H0: μ1 − μ2 = 5 vs. Ha: μ1 − μ2 > 5, the test statistic value z is found to be 1.69. What is the p-value of the test? A: 0.0910 B: 0.0455 C: 0.3023 D: 0.1977 41. When testing H0: μ1 − μ2 = 0 vs. H1: μ1 − μ2 < 0, the observed value of the z-score was found to be −2.15. What would the p-value for this test be? A: 0.0316 B: 0.0158...