The confidence interval for the difference in population means, μ1 - μ2 is based on the same approach used in the case of one sample: Point Estimate ± Standard Error.
Group of answer choices
True
False
ANSWER: B
False
For the difference in population means 1-2 & For One sample test
Confidence inetrval is: Point Estimate ± Margin Error.
The confidence interval for the difference in population means, μ1 - μ2 is based on the...
a) Use the t-distribution to find a confidence interval for a difference in means μ1-μ2 given the relevant sample results. Give the best estimate for μ1-μ2, the margin of error, and the confidence interval. Assume the results come from random samples from populations that are approximately normally distributed. A 90% confidence interval for μ1-μ2 using the sample results x¯1=8.8, s1=2.7, n1=50 and x¯2=13.3, s2=6.0, n2=50 Enter the exact answer for the best estimate and round your answers for the margin...
Use a t-distribution to find a confidence interval for the difference in means μd=μ1-μ2 using the relevant sample results from paired data. Assume the results come from random samples from populations that are approximately normally distributed, and that differences are computed using d=x1-x2 . A 95% confidence interval for μd using the paired difference sample results x¯d=3.1, sd=2.4, nd=30. Give the best estimate for μd, the margin of error, and the confidence interval. Enter the exact answer for the best...
Construct the indicated confidence interval for the difference between the two population means. Assume that the assumptions and conditions for inference have been met. A researcher wishes to determine whether people with high blood pressure can reduce their blood pressure by following a particular diet. Use the sample data below to construct a 99% confidence interval for μ1-μ2, where H1 and H2 represent the population means for the treatment group and the control group, respectively. Treatment GolGroup n1 85 n2...
Can someone explain how to find the answer? Construct the indicated confidence interval for the difference between the two population means. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Independent samples from two different populations yield the following data. The sample size is 478 for both samples. Find the 85% confidence interval for μ1-μ2 X1-958, x2-157, s1 77, s2-88 ○ A. 791 <...
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...
We are interested in estimating the difference between means in two groups of individuals, μ1−μ2. We initially guess that the standard deviation for group1 and group2 will be 15 and 5 respectively. Assume that we will be able to recruit twice as many individuals in group1 as in group2, i.e., n1=2n2. Given this, what is the total number of individuals (n1+n2) required to estimate μ1−μ2 to within 0.1 units with 95% confidence? A. 160,000 B. 14,000 C. 270,000 D. 190,000
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...
Independent random samples were selected from two quantitative populations, with sample sizes, means, and standard deviations given below. n1 = n2 = 60 x1 = 125.3 x2 = 123.4 s1 = 5.7 s2 = 6.1 a) Construct a 95% confidence interval for the difference in the population means (μ1 − μ2). (Round your answers to two decimal places.) to b) Find a point estimate for the difference in the population means. c) Calculate the margin of error. (Round your answer...
To develop a confidence interval for the population mean difference, you need to calculate the estimated standard error of the difference of sample means. The estimated standard error is?
In the picture below, I have the output for the same two sets of data. I ran the hypothesis test and the confidence interval. If you had a choice to use one output or the other, which would you choose and why? Make sure to be specific and include what information you get from each and what information you don't get if you use one over the other. Options Two sample T summary hypothesis test: : Mean of Population 1...