Some researchers are doing a two-mean pooled t-test. They have two samples with sizes n1=16 and n2=23. The population standard deviations are unknown but assumed to be equal, so the sample standard deviations are found and used to calculate a pooled standard deviation, sp. For sample 1: s1=7.4 and x¯1=49 For sample 2: s2=6.9 and x¯2=53 What are the test statistic (t) and the degrees of freedom to perform this test? Select the correct answer below:   If sp=7.107, then t=16−23(7.107) 116+123√≈−3.03 df=37     If sp=7.107, then t=16−23(7.107) 149+153√≈−4.97 df=37     If sp=7.107, then t=49−53(7.107) 149+153√≈−2.84 df=39     If sp=7.107, then t=49−53(7.107) 116+123√≈−1.73 df=37     If sp=7.107, then t=49−53(7.107) 116+123√≈−1.73 df=39     If sp=7.107, then t=16−23(7.107) 149+153√≈−4.97 df=39

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 13PPS
icon
Related questions
Topic Video
Question
Some researchers are doing a two-mean pooled t-test. They have two samples with sizes n1=16 and n2=23. The population standard deviations are unknown but assumed to be equal, so the sample standard deviations are found and used to calculate a pooled standard deviation, sp.
  • For sample 1: s1=7.4 and x¯1=49
  • For sample 2: s2=6.9 and x¯2=53
What are the test statistic (t) and the degrees of freedom to perform this test?

Select the correct answer below:

 
If sp=7.107, then t=16−23(7.107) 116+123√≈−3.03

df=37
 
 
If sp=7.107, then t=16−23(7.107) 149+153√≈−4.97

df=37
 
 
If sp=7.107, then t=49−53(7.107) 149+153√≈−2.84

df=39
 
 
If sp=7.107, then t=49−53(7.107) 116+123√≈−1.73

df=37
 
 
If sp=7.107, then t=49−53(7.107) 116+123√≈−1.73

df=39
 
 
If sp=7.107, then t=16−23(7.107) 149+153√≈−4.97

df=39
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill