A random sample of 49 measurements from one population had a
sample mean of 10, with sample standard deviation 3. An independent
random sample of 64 measurements from a second population had a
sample mean of 12, with sample standard deviation 4. Test the claim
that the population means are different. Use level of significance
0.01.
(c) Compute
x1 − x2.
x1 − x2 =
Compute the corresponding sample distribution value. (Test the
difference μ1 − μ2. Round your answer to
three decimal places.)
(g) Find a 95% confidence interval for
μ1 − μ2.
(Round your answers to two decimal places.)
lower limit | |
upper limit |
A random sample of 49 measurements from one population had a sample mean of 10, with...
A random sample of 49 measurements from a population with population standard deviation σ1 = 3 had a sample mean of x1 = 8. An independent random sample of 64 measurements from a second population with population standard deviation σ2 = 4 had a sample mean of x2 = 10. Test the claim that the population means are different. Use level of significance 0.01. 1. Compute x1 − x2 and x1 − x2 = 2. Compute the corresponding sample distribution...
A random sample of 49 measurements from one population had a sample mean of 13, with sample standard deviation 3. An independent random sample of 64 measurements from a second population had a sample mean of 15, with sample standard deviation 4. Test the claim that the population means are different. Use the level of significance 0.01. Using s1 = 3 and s2 = 4, we can compute the t value corresponding to the test statistic x1 − x2 = −2. Recall...
A random sample of 49 measurements from one population had a sample mean of 18, with sample standard deviation 5. An independent random sample of 64 measurements from a second population had a sample mean of 21, with sample standard deviation 6. Test the claim that the population means are different. Use level of significance 0.01. (a) What distribution does the sample test statistic follow? Explain. The standard normal. We assume that both population distributions are approximately normal with unknown...
A random sample of 49 measurements from a population with population standard deviation o 3 had a sample mean of x, 9. An independeent random sample of sample mean of x, 11. Test the claim that the population means are 64 measurements from a second population with population standard deviation a2 4 had different. Use level of significance 0.01. (a) What distribution does the sample test statistic follow? Explain. The student's t. We assume that both population distributions are approximately...
A sample of 44 observations is selected from one population with a population standard deviation of 3.1. The sample mean is 101.0. A sample of 56 observations is selected from a second population with a population standard deviation of 5.0. The sample mean is 99.5. Conduct the following test of hypothesis using the 0.10 significance level. H0 : μ1 = μ2 H1 : μ1 ≠ μ2 Is this a one-tailed or a two-tailed test? One-tailed test Two-tailed test State the...
A sample of 44 observations is selected from one population with a population standard deviation of 3.9. The sample mean is 102.0. A sample of 46 observations is selected from a second population with a population standard deviation of 5.6. The sample mean is 100.3. Conduct the following test of hypothesis using the 0.10 significance level. H0 : μ1 = μ2 H1 : μ1 ≠ μ2 Is this a one-tailed or a two-tailed test? One-tailed test Two-tailed test State the...
A random sample of n1 = 10 regions in New England gave the following violent crime rates (per million population). x1: New England Crime Rate 3.0 3.1 4.0 3.9 3.3 4.1 1.8 4.8 2.9 3.1 Another random sample of n2 = 12 regions in the Rocky Mountain states gave the following violent crime rates (per million population). x2: Rocky Mountain Crime Rate 3.9 4.1 4.8 5.3 3.3 4.8 3.5 2.4 3.1 3.5 5.2 2.8 Assume that the crime rate distribution...
Suppose a random sample of 49 measurements is selected from a population with a mean of 44 and a standard deviation of 1.1. What is the mean and standard error of X?
A random sample of n1 = 10 regions in New England gave the following violent crime rates (per million population). x1: New England Crime Rate 3.3 3.7 4.2 3.9 3.3 4.1 1.8 4.8 2.9 3.1 Another random sample of n2 = 12 regions in the Rocky Mountain states gave the following violent crime rates (per million population). x2: Rocky Mountain Crime Rate 3.7 4.1 4.7 5.5 3.3 4.8 3.5 2.4 3.1 3.5 5.2 2.8 Assume that the crime rate distribution...
Two teaching methods and their effects on science test scores are being reviewed. A random sample of 12 12 students, taught in traditional lab sessions, had a mean test score of 71.7 71.7 with a standard deviation of 4.8 4.8 . A random sample of 14 14 students, taught using interactive simulation software, had a mean test score of 82.3 82.3 with a standard deviation of 3.8 3.8 . Do these results support the claim that the mean science test...