or each of the following, assume that the two samples are obtained from populations with the same mean, and calculate how much difference should e expected, on average, between the two sample means. ach sample has n = 7 scores with s2 = 142 for the first sample and s2 = 110 for the second. (Note: Because the two samples are the same size, the ooled variance is equal to the average of the two sample variances.) ach sample has n = 28 scores with s2 = 142 for the first sample and s2 = 110 for the second. n the second part of this question, the two samples are bigger than in the first part, but the variances are unchanged. How does the sample size ffect the size of the standard error for the sample mean difference? O As sample size increases, standard error increases. O As sample size increases, standard error decreases. O As sample size increases, standard error remains the same.

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
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For each of the following, assume that the two samples are obtained from populations with the same mean, and calculate how much difference should
be expected, on average, between the two sample means.
Each sample has n = 7 scores with s2 = 142 for the first sample and s2 = 110 for the second. (Note: Because the two samples are the same size, the
pooled variance is equal to the average of the two sample variances.)
Each sample has n =
28 scores with s2 = 142 for the first sample and s2 = 110 for the second.
In the second part of this question, the two samples are bigger than in the first part, but the variances are unchanged. How does the sample size
affect the size of the standard error for the sample mean difference?
As sample size increases, standard error increases.
As sample size increases, standard error decreases.
As sample size increases, standard error remains the same.
Transcribed Image Text:For each of the following, assume that the two samples are obtained from populations with the same mean, and calculate how much difference should be expected, on average, between the two sample means. Each sample has n = 7 scores with s2 = 142 for the first sample and s2 = 110 for the second. (Note: Because the two samples are the same size, the pooled variance is equal to the average of the two sample variances.) Each sample has n = 28 scores with s2 = 142 for the first sample and s2 = 110 for the second. In the second part of this question, the two samples are bigger than in the first part, but the variances are unchanged. How does the sample size affect the size of the standard error for the sample mean difference? As sample size increases, standard error increases. As sample size increases, standard error decreases. As sample size increases, standard error remains the same.
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