Consider the following hypothesis test.
H0: μ1 − μ2 = 0
Ha: μ1 − μ2 ≠ 0
The following results are from independent samples taken from two populations assuming the variances are unequal.
| Sample 1 | Sample 2 |
|---|---|
|
n1 = 35 |
n2 = 40 |
|
x1 = 13.6 |
x2 = 10.1 |
|
s1 = 5.3 |
s2 = 8.3 |
What is the value of the test statistic? (Use x1 − x2 .(Round your answer to three decimal places.)
________________.
What is the degrees of freedom for the t distribution? (Round your answer down to the nearest integer.)
______________.
What is the p-value? (Round your answer to four decimal places.)
p-value =________.
Consider the following hypothesis test. H0: μ1 − μ2 = 0 Ha: μ1 − μ2 ≠...
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...
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.)...
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...
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...
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?
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 may need to use the appropriate technology to answer this question. Consider the following hypothesis test. The following results are from independent samples taken from two populations assuming the variances are unequal Sample 1 Sample 2 n1-352 x1-13.6x2-10.1 s, 5.5 s = 8.1 n2-40 (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 distribution? (Round your answer down to the...
Consider the following hypothesis test. The following results are from independent samples taken from two populations. H0: Ha: μ1 μ2 0 μ1 μ2 0 Sample 1 Sample 2 n1 35 n2 40 13.6 10.1 s1 5.2 s2 8.5 testSELF x ¯1 x ¯2 x ¯1 x ¯ a. What is the value of the test statistic? b. What is the degrees of freedom for the t distribution? c. What is the p-value? d. At α .05, what is your conclusion?
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
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¯1=14.2 and x¯2=19.7. Use α=0.05.
Font Paragraph Styles Chapter 10 Section 1 Additional Problem 1 Consider the hypothesis test Ho : = 12 against HI : <H2 with known variances = 10 and 2 = 5. Suppose that sample sizes nj = 10 and 12 = 15 and that I = 14.2 and 72 = 19.7. Use a...