1- Two samples of data are collected and the sample means calculated. If the sam
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Question
1- Two samples of data are collected and the sample means calculated. If the samples come from the same population, then: A- Their means should be roughly equal. B- Their means should differ significantly. C- The difference between the samples we have collected is likely to be larger than we would expect based on the standard error. D- The experiment is unreliable.
2- Other things being equal, compared to the paired-samples (or dependent) t-test, the independent t-test: A- Is less robust. B- Has the same amount of power, the data is just collected differently. C- Has less power to find an effect. D- Has more power to find an effect.
3- What does the variance sum law state? (Hint: We use the variance sum law to obtain the standard deviation of the sampling distribution of differences between sample means.)
A- That the variance of a difference between two independent variables is smaller than the sum of their variances.
B- That the variance of a difference between two independent variables is larger than the sum of their variances.
C- That the sum of the variances of two independent variables is larger than the sum of their individual variances.
D- That the variance of a difference between two independent variables is equal to the sum of their variances.
A- That the variance of a difference between two independent variables is smaller than the sum of their variances.
B- That the variance of a difference between two independent variables is larger than the sum of their variances.
C- That the sum of the variances of two independent variables is larger than the sum of their individual variances.
D- That the variance of a difference between two independent variables is equal to the sum of their variances.
Explanation / Answer
dear student please post the question one at a time
1)option A is right
If the samples come from the same population, then we expect their means to be roughly equal.
– Although it is possible (even likely) for their means to differ by chance alone, we would expect large differences between sample means to occur very infrequently.
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