Aa Aa 4. Differentiating pooled variance and the estimatedstandard error of the difference in sample means For theindependent-measures t test, which of the following describesthe estimated standard error of M,-M2 (whose symbol is Thevariance across all the data values when both samples arepooled together An estimate of the standard distance betweenthe difference in sample means (M- M2) and the difference inthe corresponding population means (u-Pa) O A weightedaverage of the two sample variances (weighted by the samplethe two samples For the independent-measures t test, which
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of the following describes the pooled variance (whose symbolis An estimate of the standard distance between the differencein sample means (M-Ma) and the difference in thecorresponding population means (us-P2) O The variance
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Transcribed Image Text:In calculating , you typically first need to calculate v is the value used in the denominator of 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. 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 SSz = 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 v The degrees of freedom for this t statistic is
Transcribed Image Text:For the independent-measures t test, which of the following describes the pooled variance (whose symbol is )? O A weighted average of the two sample variances (weighted by the sample sizes) O An estimate of the standard distance between the difference in sample means (M1 - M2) and the difference in the corresponding population means (u1 - Uz) O The difference between the standard deviations of the two samples O The variance across all the data values when both samples are pooled together For the independent-measures t test, which of the following describes the estimated standard error of the difference in sample means (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 (M: - M2) and the difference in the corresponding population means (p1 - Hz) O The difference between the standard deviations of the two samples O A weighted average of the two sample variances (weighted by the sample sizes) In calculating , you typically first need to calculate is the value used in the denominator of
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