Two independent random samples produced the following sample statistics.
|
Sample 1 |
Sample 2 |
|
|
x⎯⎯⎯ |
85.3 |
76.9 |
|
s |
4.2 |
6.7 |
|
n |
6 |
5 |
If we test H0:μ1−μ2=0 versus Ha:μ1−μ2≠0 at the 10% significance level, what is the critical value, or rejection point, associated with this test?
Select one:
a. 1.533
b. 1.645
c. 2.132
d. 1.383
e. 1.833
Two independent random samples produced the following sample statistics. Sample 1 Sample 2 x⎯⎯⎯ 85.3 76.9...
Independent random samples selected from two normal populations produced the sample means and standard deviations shown below: Sample 1 Sample 2 x̅1 = 5.4 x̅2 = 8.2 s1 = 5.6 s2 = 8.2 n1 = 20 n2 = 18 Conduct the test H0 : μ1 - μ2 = 0 against H1 : μ1 - μ2 ≠ 0 ,then the test statistic is __________.
Given in the table are the BMI statistics for random samples of men and women. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.01 significance level for both parts. Male BMI Female BMI μ μ1 μ2 n 45 45 x 27.3958 24.7599 s 7.837628 4.750044 a. Test the claim that males and females have...
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...
In order to compare the means of two populations, independent random samples of 400 observations are selected from each population, with the results found in the table to the right. Complete parts a through e below. Sample 1 overbar x = 5,305 s1= 154 Sample 2 overbar x = 5,266 s2 = 199 a. Use a 95% confidence interval to estimate the difference between the population means (mu 1 - mu 2). Interpret the confidence interval. The confidence interval is...
Suppose you want to test the claim that μ1 ≠ μ2. Assume the two samples are random and independent. At a level of significance of α = 0.05, when should you reject H0? Population statistics: σ1 = 1.5 and σ2 = 1.9 Sample statistics: x1 = 30, n1 = 50 and x2 = 28, n2 = 60 A. Reject H0 if the standardized test statistic is less than -1.645 or greater than 1.645. B. Reject H0 if the standardized test...
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...
(1 point) In order to compare the means of two populations, independent random samples of 271 observations are selected from each population, with the following results: Sample 1 Sample 2 1145 2 120 (a) Use a 99 % confidence interval to estimate the difference between the population means (A-μ). (b) Test the null hypothesis: HO : (μί-12-0 versus the alternative hypothesis. Ha : (μ-μ2)メ (i) the test statistic z () the positive critical z score (ii) the negative critical z...
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?
Two samples are random and independent. Find the P-value used to test the claim that μ1 = μ2. Use α = 0.05. Population statistics: σ1 = 2.5 and σ2 = 2.8 Sample statistics: x1 = 12, n1 = 40 and x2 = 13, n2 = 35 A. 0.0526 B. 0.1052 C. 0.1138 D. 0.4020