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(d) What is the 95% confidence interval for the difference between the two population means? (Use x₁-x₂. Round your answers to one decimal place.) -33.6 X to 39.2 x 57°F Clear Need Help? Submit Answer Read It Watch It Master It

(d) What is the 95% confidence interval for the difference between the two population means? (Use x₁-x₂. Round your answers to one decimal place.) -33.6 X to 39.2 x 57°F Clear Need Help? Submit Answer Read It Watch It Master It

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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esc You may need to use the appropriate appendix table or technology to answer this question. The following results are for independent random samples taken from two populations. Sample 1 n1 = 20 X1 = 22.9 57°F Clear Sample 2 n2 = 30 $1 = 2.5 (a) What is the point estimate of the difference between the two population means? (Use x₁ - x₂.) 2.8 Need Help? X2 (b) What is the degrees of freedom for the t distribution? (Round your answer down to the nearest integer.) 45 Submit Answer (c) At 95% confidence, what is the margin of error? (Round your answer to one decimal place.) 2.093602103 2 S₂ = 4.8 = 20.1 (d) What is the 95% confidence interval for the difference between the two population means? (Use x. -33.6 X to 39.2 x Read It # 3 Watch It f4 $ 4 Master It f5 40 % 5 9 1 6 f7 4+ 4 & 6 10 fg 7 A IAA * 4 4 6 N * 4 4 4 C4 10 * 44 4464 d A 19 hp *2" 4 8 DII 4 Round your answers to one decimal place.) F10 **** 4 5 Re A 901 S A 44 DDI * 94 44 4 *** S 444** f11 C A S CEE CE*** f12 insert C 4 ** C t A prt sc No delete backspace
Transcribed Image Text:esc You may need to use the appropriate appendix table or technology to answer this question. The following results are for independent random samples taken from two populations. Sample 1 n1 = 20 X1 = 22.9 57°F Clear Sample 2 n2 = 30 $1 = 2.5 (a) What is the point estimate of the difference between the two population means? (Use x₁ - x₂.) 2.8 Need Help? X2 (b) What is the degrees of freedom for the t distribution? (Round your answer down to the nearest integer.) 45 Submit Answer (c) At 95% confidence, what is the margin of error? (Round your answer to one decimal place.) 2.093602103 2 S₂ = 4.8 = 20.1 (d) What is the 95% confidence interval for the difference between the two population means? (Use x. -33.6 X to 39.2 x Read It # 3 Watch It f4 $ 4 Master It f5 40 % 5 9 1 6 f7 4+ 4 & 6 10 fg 7 A IAA * 4 4 6 N * 4 4 4 C4 10 * 44 4464 d A 19 hp *2" 4 8 DII 4 Round your answers to one decimal place.) F10 **** 4 5 Re A 901 S A 44 DDI * 94 44 4 *** S 444** f11 C A S CEE CE*** f12 insert C 4 ** C t A prt sc No delete backspace
Expert Solution
Step 1

Given that 

Sample sizes n1=20      , n2=30     
 
Sample means X̄1=22.9     , X̄2=20.1
     
s1 =2.5             , s2=4.8  
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