Suppose you conduct a study using an independent-measures research design, and you intend to use the independent-measures t test to test whetherthe 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 SizeDegrees of FreedomSample MeanStandard DeviationSums of SquaresSample 1n = 21df, = 20M127.6S1 = 4.5Sample 2n2 = 11df = 10M2 = 21.5SS= 302.5The pooled variance for your study is(Note: You are being asked for this value to three decimal places, because you will need to use itin succeeding calculations. For the most accurate results, retain these three decimal places throughout the calculations.)The estimated standard error of M, M2 for your study isThe t statistic for your independent-measures t test, when the null hypothesis is that the two population means are the same, isThe degrees of freedom for this t statistic is S(M1 -M2))?For the independent-measures t test, which of the following describes the estimated standard error of M, - M2 (whose symbol isO A weighted average of the two sample variances (weighted by the sample sizes)O The variance across all the data values when both samples are pooled togetherO An estimate of the standard distance between the difference in sample means (M1 - M2) and the difference in the correspondingpopulation means (H1 - P2)O The difference between the standard deviations of the two samples)?For the independent-measures t test, which of the following describes the pooled variance (whose symbol isO The variance across all the data values when both samples are pooled togetherO An estimate of the standard distance between the difference in sample means (M1 - M2) and the difference in the correspondingpopulation means (P, - P2)A weighted average of the two sample variances (weighted by the sample sizes)O The difference between the standard deviations of the two samplesis the value used in the denominator ofIn calculatingyou typically first need to calculatethe t statistic for the independent-measures t test.Suppose you conduct a study using an independent-measures research design, and you intend to use the independent-measures t test to test whetherthe means of the two independent populations are the same. The following is a table of the information you gather. Fill in any missing values.

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Suppose you conduct a study using an independent-measures research đešigh, 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- 21 df, = 20 v M, 27.6 S1 = 4.5 Sample 2 n2 = 11 df, = 10 v M2 = 21.5 SS, = 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 M, - M2 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

Suppose you conduct a study using an independent-measures research đešigh, 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- 21 df, = 20 v M, 27.6 S1 = 4.5 Sample 2 n2 = 11 df, = 10 v M2 = 21.5 SS, = 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 M, - M2 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

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

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 = 21
df, = 20
M1
27.6
S1 = 4.5
Sample 2
n2 = 11
df = 10
M2 = 21.5
SS
= 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 M, M2 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

S(M1 -M2)
)?
For the independent-measures t test, which of the following describes the estimated standard error of M, - M2 (whose symbol is
O A weighted average of the two sample variances (weighted by the sample sizes)
O The variance across all the data values when both samples are pooled together
O An estimate of the standard distance between the difference in sample means (M1 - M2) and the difference in the corresponding
population means (H1 - P2)
O The difference between the standard deviations of the two samples
)?
For the independent-measures t test, which of the following describes the pooled variance (whose symbol is
O The variance across all the data values when both samples are pooled together
O An estimate of the standard distance between the difference in sample means (M1 - M2) and the difference in the corresponding
population means (P, - P2)
A weighted average of the two sample variances (weighted by the sample sizes)
O The difference between the standard deviations of the two samples
is the value used in the denominator of
In calculating
you typically first need to calculate
the t statistic for the independent-measures t test.
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.

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