Question

Use the t-distribution to find a confidence interval for a difference in means μ1-μ2 given the...

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=81.1, s1=10.3, n1=35 and x¯2=67.1, s2=7.9, n2=20

Enter the exact answer for the best estimate and round your answers for the margin of error and the confidence interval to two decimal places.

Homework Answers

Answer #1

= 81.1, s1 = 10.3, n1 = 35

= 67.1, s2 = 7.9, n2 = 20

c = 90% , = 0.10

1)
Best point estimate =   = 81.1 - 67.1 = 14

Best point estimate = 14

2)

formula for margin of error is

where,

df = n1 + n2 - 2 = 35 + 20 2 = 53

1.674

Sp = 9.509528


= 4.462176451


Margin of error = 4.46

14 - 4.462176451 , 14 + 4.462176451

Confidence interval = ( 9.54 , 18.46 )

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Use a t-distribution to find a confidence interval for the difference in means μd=μ1-μ2 using the...
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 99% confidence interval for μd using the paired data in the following table: Case 1 2 3 4 5 Treatment 1 22 29 32 25 27 Treatment 2 18 31 26 21 21 Give the best...
Use a t-distribution to find a confidence interval for the difference in means μd=μ1-μ2 using the...
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 data in the following table: Case Situation 1 Situation 2 1 77 87 2 81 86 3 95 91 4 61 79 5 71 77 6 72 62...
Chapter 6, Section 4-CI, Exercise 191 Use the t-distribution to find a confidence interval for a...
Chapter 6, Section 4-CI, Exercise 191 Use the t-distribution to find a confidence interval for a difference in means μ1- μ 2 given the relevant sample results. Give the best estimate for μ1- μ 2, 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- μ 2 using the sample results X̄1=5.4 ,s1=3.0, n1 = 11. And X̄2=4.3 ,s2= 3.1, n2= 8...
Use a t-distribution to find a confidence interval for the difference in means - μ 2...
Use a t-distribution to find a confidence interval for the difference in means - μ 2 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 = x 1 - x 2 . A 90% confidence interval for μ d using the paired difference sample results x ¯ d = 566.9 , s d = 140.3 , n d = 100...
Use the normal distribution to find a confidence interval for a difference in proportions p1-p2 given...
Use the normal distribution to find a confidence interval for a difference in proportions p1-p2 given the relevant sample results. Assume the results come from random samples. A 99% confidence interval for p1-p2 given that p-hat = 0.25 with n1=40 and p2-hat = 0.35 with n2=100. Give the best estimate for p1-p2 , the margin of error and the confidence interval. Round your answer for the best estimate to two decimal places and round your answers for the margin of...
Use the normal distribution to find a confidence interval for a difference in proportions p1-p2 given...
Use the normal distribution to find a confidence interval for a difference in proportions p1-p2 given the relevant sample results. Assume the results come from random samples. A 99% confidence interval for p1-p2 given that p^1=0.76 with n1=590 and p^2=0.65 with n2=340 Give the best estimate for p1-p2 , the margin of error, and the confidence interval. Round your answer for the best estimate to two decimal places and round your answers for the margin of error and the confidence...
Use the normal distribution to find a confidence interval for a difference in proportions p1-p2 given...
Use the normal distribution to find a confidence interval for a difference in proportions p1-p2 given the relevant sample results. Assume the results come from random samples. A 90% confidence interval for p1-p2 given thatp^1=0.25 with n1=40 and p^2=0.35 with n2=120 Give the best estimate for p1-p2, the margin of error, and the confidence interval. Round your answer for the best estimate to two decimal places and round your answers for the margin of error and the confidence interval to...
Use the t-distribution to find a confidence interval for a mean μ given the relevant sample...
Use the t-distribution to find a confidence interval for a mean μ given the relevant sample results. Give the best point estimate for μ, the margin of error, and the confidence interval. Assume the results come from a random sample from a population that is approximately normally distributed. A 90% confidence interval for μ using the sample results x¯=144.2, s=55.7, and n=50 Round your answer for the point estimate to one decimal place, and your answers for the margin of...
Use the t-distribution to find a confidence interval for a mean μ given the relevant sample...
Use the t-distribution to find a confidence interval for a mean μ given the relevant sample results. Give the best point estimate for μ, the margin of error, and the confidence interval. Assume the results come from a random sample from a population that is approximately normally distributed. A 90% confidence interval for μ using the sample results x¯=142.0, s=52.8, and n=50 Round your answer for the point estimate to one decimal place, and your answers for the margin of...
Use the t-distribution to find a confidence interval for a mean μ given the relevant sample...
Use the t-distribution to find a confidence interval for a mean μ given the relevant sample results. Give the best point estimate for μ, the margin of error, and the confidence interval. Assume the results come from a random sample from a population that is approximately normally distributed. A 95% confidence interval for μ using the sample results x¯=94.5, s=8.5, and n=42 Round your answer for the point estimate to one decimal place, and your answers for the margin of...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT