Suppose you conduct a study using an independent-measures research design, and you intend to use the independent-measures t test to test whether the means of the two independent populations are the same. The following is a table of the information you gather. Fill in any missing values. Sample Size Degrees of Freedom Sample Mean Standard Deviation Sums of Squares Sample 1 ni = 41 M, = 14.3 Sz = 8.2 Sample 2 n2 = 21 M2 = 13.6 SS, = 924.8 The pooled variance for your study is (Note: You are being asked for this value to three decimal places, because you will need to use it in succeeding calculations. For the most accurate results, retain these three decimal places throughout the calculations.) The estimated standard error of the difference in sample means for your study is The t statistic for your independent-measures t test, when the null hypothesis is that the two population means are the same, is The degrees of freedom for this t statistic is

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
icon
Related questions
Topic Video
Question
Suppose you conduct a study using an independent-measures research design, and you intend to use the independent-measures t test to test whether
the means of the two independent populations are the same. The following is a table of the information you gather. Fill in any missing values.
Sample Size
Degrees of Freedom
Sample Mean
Standard Deviation
Sums of Squares
Sample 1
n, = 41
M1 = 14.3
S = 8.2
Sample 2
n2 = 21
M2 = 13.6
SS2
924.8
The pooled variance for your study is
▼. (Note: You are being asked for this value to three decimal places, because you will need to use it
in succeeding calculations. For the most accurate results, retain these three decimal places throughout the calculations.)
The estimated standard error of the difference in sample means for your study is
The t statistic for your independent-measures t test, when the null hypothesis is that the two population means are the same, is
The degrees of freedom for this t statistic is
Transcribed Image Text:Suppose you conduct a study using an independent-measures research design, and you intend to use the independent-measures t test to test whether the means of the two independent populations are the same. The following is a table of the information you gather. Fill in any missing values. Sample Size Degrees of Freedom Sample Mean Standard Deviation Sums of Squares Sample 1 n, = 41 M1 = 14.3 S = 8.2 Sample 2 n2 = 21 M2 = 13.6 SS2 924.8 The pooled variance for your study is ▼. (Note: You are being asked for this value to three decimal places, because you will need to use it in succeeding calculations. For the most accurate results, retain these three decimal places throughout the calculations.) The estimated standard error of the difference in sample means for your study is The t statistic for your independent-measures t test, when the null hypothesis is that the two population means are the same, is The degrees of freedom for this t statistic is
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

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
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning