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 Degrees of Sample Standard Sums of Size Freedom Mean Deviation Squares Sample 1 n, = 21 df, = 20 M1 = 27.6 S, = 4.5 Sample 2 n, = 11 df2 = 10 M2 = 21.5 SS2 = 302.5 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 M1 - M2 for your study is The t statistic for your independent-measurest 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
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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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
Degrees of
Sample
Standard
Sums of
Size
Freedom
Mean
Deviation
Squares
Sample 1
n, = 21
df, = 20
M1 = 27.6
S, = 4.5
Sample 2
n, = 11
df2
= 10
M2 = 21.5
SS2 = 302.5
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 M1 - M2 for your study is
The t statistic for your independent-measurest 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 Degrees of Sample Standard Sums of Size Freedom Mean Deviation Squares Sample 1 n, = 21 df, = 20 M1 = 27.6 S, = 4.5 Sample 2 n, = 11 df2 = 10 M2 = 21.5 SS2 = 302.5 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 M1 - M2 for your study is The t statistic for your independent-measurest test, when the null hypothesis is that the two population means are the same, is The degrees of freedom for this t statistic is
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